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Rene van den Brink

Citations

Many of the citations below have been collected in an experimental project, CitEc, where a more detailed citation analysis can be found. These are citations from works listed in RePEc that could be analyzed mechanically. So far, only a minority of all works could be analyzed. See under "Corrections" how you can help improve the citation analysis.

Working papers

  1. René van den Brink, 2017. "Games with a Permission Structure: a survey on generalizations and applications," Tinbergen Institute Discussion Papers 17-016/II, Tinbergen Institute.

    Cited by:

    1. Sylvain Béal & Sylvain Ferrières & Philippe Solal, 2020. "The Priority Value for Cooperative Games with a Priority Structure," Working Papers 2020-02, CRESE.
    2. Sylvain Béal & Issofa Moyouwou & Eric Rémila & Phillippe Solal, 2018. "Cooperative games on intersection closed systems and the Shapley value," Working Papers 2018-06, CRESE.
    3. Encarnacion Algaba & Rene van den Brink, 2021. "Networks, Communication and Hierarchy: Applications to Cooperative Games," Tinbergen Institute Discussion Papers 21-019/IV, Tinbergen Institute.
    4. David Lowing, 2021. "Allocation Rules for Multi-choice Games with a Permission Tree Structure," Working Papers 2106, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    5. Tobias Hiller, 2021. "Hierarchy and the size of a firm," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 68(3), pages 389-404, September.
    6. Rene van den Brink & Ilya Katsev & Gerard van der Laan, 2023. "Properties of Solutions for Games on Union-Closed Systems," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
    7. Juan Vidal-Puga, 2017. "Comments on: Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 42-44, April.

  2. René van den Brink & Juan D. Moreno-Ternero, 2016. "The Reverse TAL-family of Rules for Bankruptcy Problems," Tinbergen Institute Discussion Papers 16-108/II, Tinbergen Institute.

    Cited by:

    1. Sanchez-Soriano, Joaquin, 2021. "Families of sequential priority rules and random arrival rules with withdrawal limits," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 136-148.
    2. Juan D. Moreno-Ternero, 2017. "A Talmudic approach to bankruptcy problems," LIDAM Reprints CORE 2914, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Chatterjee, Siddharth & Ertemel, Sinan & Kumar, Rajnish, 2023. "Rationing rules for risky claims," Journal of Mathematical Economics, Elsevier, vol. 108(C).
    4. Juan D. Moreno‐Ternero & Min‐Hung Tsay & Chun‐Hsien Yeh, 2022. "Strategic justifications of the TAL family of rules for bankruptcy problems," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 92-102, March.

  3. Peters, Hans & Timmer, Judith & van den Brink, Rene, 2016. "Power on digraphs," Research Memorandum 019, Maastricht University, Graduate School of Business and Economics (GSBE).

    Cited by:

    1. Qianqian Kong & Hans Peters, 2021. "An issue based power index," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 23-38, March.

  4. van den Brink, R. & van der Laan, G. & Herings, P.J.J. & Talman, A.J.J., 2015. "The Average Tree permission value for games with a permission tree," Other publications TiSEM 97042492-4b03-4e72-b88d-d, Tilburg University, School of Economics and Management.

    Cited by:

    1. René Brink, 2017. "Rejoinder on: Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 45-48, April.
    2. Sylvain Béal & Eric Rémila & Philippe Solal, 2017. "Discounted Tree Solutions," Post-Print halshs-01413007, HAL.
    3. Sylvain Béal & Eric Rémila & Philippe Solal, 2015. "Characterization of the Average Tree solution and its kernel," Post-Print halshs-01212115, HAL.
    4. Khmelnitskaya, A. & van der Laan, G. & Talman, Dolf, 2016. "Centrality Rewarding Shapley and Myerson Values for Undirected Graph Games," Other publications TiSEM f449b907-5e19-4702-b48e-a, Tilburg University, School of Economics and Management.
    5. Encarnacion Algaba & Rene van den Brink, 2021. "Networks, Communication and Hierarchy: Applications to Cooperative Games," Tinbergen Institute Discussion Papers 21-019/IV, Tinbergen Institute.
    6. Anna Khmelnitskaya & Gerard van der Laan & Dolf Talman, 2016. "Centrality Rewarding Shapley and Myerson Values for Undirected Graph Games," Tinbergen Institute Discussion Papers 16-070/II, Tinbergen Institute.
    7. David Lowing, 2021. "Allocation Rules for Multi-choice Games with a Permission Tree Structure," Working Papers 2106, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    8. René Brink & Chris Dietz & Gerard Laan & Genjiu Xu, 2017. "Comparable characterizations of four solutions for permission tree games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(4), pages 903-923, April.
    9. René van den Brink, 2017. "Games with a Permission Structure: a survey on generalizations and applications," Tinbergen Institute Discussion Papers 17-016/II, Tinbergen Institute.
    10. Mikel Álvarez-Mozos & Rene van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games with Hierarchical Structure," CER-ETH Economics working paper series 15/215, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    11. René Brink, 2017. "Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 1-33, April.
    12. Gómez-Rúa, María & Vidal-Puga, Juan, 2015. "A monotonic and merge-proof rule in minimum cost spanning tree situations," MPRA Paper 62923, University Library of Munich, Germany.
    13. Takayuki Oishi & Gerard van der Laan & René van den Brink, 2016. "An Axiomatic Analysis of Joint Liability Problems with Rooted -Tree Structure," Tinbergen Institute Discussion Papers 16-042/II, Tinbergen Institute.
    14. Takayuki Oishi & Gerard van der Laan & René van den Brink, 2018. "The Tort Law and the Nucleolus for Generalized Joint Liability Problems," Discussion Papers 37, Meisei University, School of Economics.
    15. Encarnacion Algaba & Rene van den Brink, 2019. "The Shapley Value and Games with Hierarchies," Tinbergen Institute Discussion Papers 19-064/II, Tinbergen Institute.
    16. Mikel Álvarez-Mozos & René van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games," Tinbergen Institute Discussion Papers 15-072/II, Tinbergen Institute.
    17. Suzuki, T., 2015. "Solutions for cooperative games with and without transferable utility," Other publications TiSEM 9bd876f2-c055-4d01-95f0-c, Tilburg University, School of Economics and Management.

  5. Mikel Álvarez-Mozos & Rene van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games with Hierarchical Structure," CER-ETH Economics working paper series 15/215, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.

    Cited by:

    1. Sylvain Béal & Sylvain Ferrières & Philippe Solal, 2020. "The Priority Value for Cooperative Games with a Priority Structure," Working Papers 2020-02, CRESE.
    2. Besner, Manfred, 2020. "Values for level structures with polynomial-time algorithms, relevant coalition functions, and general considerations," MPRA Paper 99355, University Library of Munich, Germany.
    3. Encarnacion Algaba & Rene van den Brink, 2021. "Networks, Communication and Hierarchy: Applications to Cooperative Games," Tinbergen Institute Discussion Papers 21-019/IV, Tinbergen Institute.
    4. Besner, Manfred, 2017. "Weighted Shapley levels values," MPRA Paper 82978, University Library of Munich, Germany.
    5. Mikel Álvarez-Mozos & Rene van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games with Hierarchical Structure," CER-ETH Economics working paper series 15/215, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    6. Manfred Besner, 2022. "Harsanyi support levels solutions," Theory and Decision, Springer, vol. 93(1), pages 105-130, July.
    7. Besner, Manfred, 2018. "The weighted Shapley support levels values," MPRA Paper 87617, University Library of Munich, Germany.
    8. Xun-Feng Hu & Deng-Feng Li, 2021. "The Equal Surplus Division Value for Cooperative Games with a Level Structure," Group Decision and Negotiation, Springer, vol. 30(6), pages 1315-1341, December.
    9. Xianghui Li & Yang Li, 2021. "On the Structural Stability of Values for Cooperative Games," Journal of Optimization Theory and Applications, Springer, vol. 189(3), pages 873-888, June.

  6. René van den Brink & Chris Dietz & Gerard van der Laan & Genjiu Xu, 2015. "Comparable Characterizations of Four Solutions for Permission Tree Games," Tinbergen Institute Discussion Papers 15-021/II, Tinbergen Institute.

    Cited by:

    1. Chakrabarti, Subhadip & Ghintran, Amandine, 2013. "Assignment of Heterogeneous Agents in Trees under the Permission Value," MPRA Paper 49115, University Library of Munich, Germany.
    2. Jens Gudmundsson & Jens Leth Hougaard & Chiu Yu Ko, 2022. "Sharing sequentially triggered losses: Automatic conflict resolution through smart contracts," IFRO Working Paper 2020/05, University of Copenhagen, Department of Food and Resource Economics.
    3. Wenzhong Li & Genjiu Xu & Rong Zou & Dongshuang Hou, 2022. "The allocation of marginal surplus for cooperative games with transferable utility," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(2), pages 353-377, June.
    4. Rong Zou & Genjiu Xu & Wenzhong Li & Xunfeng Hu, 2020. "A coalitional compromised solution for cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(4), pages 735-758, December.
    5. David Lowing, 2021. "Allocation Rules for Multi-choice Games with a Permission Tree Structure," Working Papers 2106, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    6. Takayuki Oishi & Gerard van der Laan & René van den Brink, 2023. "Axiomatic analysis of liability problems with rooted-tree networks in tort law," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 229-258, January.
    7. Takayuki Oishi & Gerard van der Laan & René van den Brink, 2018. "The Tort Law and the Nucleolus for Generalized Joint Liability Problems," Discussion Papers 37, Meisei University, School of Economics.

  7. Encarnacion Algaba & René van den Brink & Chris Dietz, 2015. "Power Measures and Solutions for Games under Precedence Constraints," Tinbergen Institute Discussion Papers 15-007/II, Tinbergen Institute.

    Cited by:

    1. Emilio Calvo & Esther Gutiérrez-López, 2015. "The value in games with restricted cooperation," Discussion Papers in Economic Behaviour 0115, University of Valencia, ERI-CES.

  8. Mikel Álvarez-Mozos & René van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games," Tinbergen Institute Discussion Papers 15-072/II, Tinbergen Institute.

    Cited by:

    1. Simon Schopohl, 2017. "Information Transmission in Hierarchies," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01491930, HAL.
    2. Simon Schopohl, 2017. "Information Transmission in Hierarchies," Post-Print halshs-01491930, HAL.
    3. Mikel Álvarez-Mozos & Rene van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games with Hierarchical Structure," CER-ETH Economics working paper series 15/215, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    4. Simon Schopohl, 2017. "Information Transmission in Hierarchies," Documents de travail du Centre d'Economie de la Sorbonne 17014, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.

  9. Rene van den Brink & Youngsub Chun & Yuan Ju, 2014. "Auctioning and Selling Positions: A Non-cooperative Approach to Queuing Conflicts," Tinbergen Institute Discussion Papers 14-016/II, Tinbergen Institute.

    Cited by:

    1. Ju, Yuan & Chun, Youngsub & van den Brink, René, 2014. "Auctioning and selling positions: A non-cooperative approach to queueing conflicts," Journal of Economic Theory, Elsevier, vol. 153(C), pages 33-45.
    2. Wenzhong Li & Genjiu Xu & Rong Zou & Dongshuang Hou, 2022. "The allocation of marginal surplus for cooperative games with transferable utility," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(2), pages 353-377, June.
    3. Bergantiños, Gustavo & Groba, Carlos & Sartal, Antonio, 2023. "Applying the Shapley value to the tuna fishery," European Journal of Operational Research, Elsevier, vol. 309(1), pages 306-318.
    4. Hu, Cheng-Cheng & Tsay, Min-Hung & Yeh, Chun-Hsien, 2018. "A study of the nucleolus in the nested cost-sharing problem: Axiomatic and strategic perspectives," Games and Economic Behavior, Elsevier, vol. 109(C), pages 82-98.
    5. Van Essen, Matt & Wooders, John, 2021. "Allocating positions fairly: Auctions and Shapley value," Journal of Economic Theory, Elsevier, vol. 196(C).
    6. Juan D. Moreno-Ternero & Min-Hung Tsay & Chun-Hsien Yeh, 2020. "A strategic justification of the Talmud rule based on lower and upper bounds," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 1045-1057, December.
    7. Leticia Lorenzo, 2019. "Comments on: recent developments in the queueing problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(1), pages 28-30, April.
    8. Youngsub Chun & Manipushpak Mitra & Suresh Mutuswami, 2019. "Recent developments in the queueing problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(1), pages 1-23, April.
    9. Tsay, Min-Hung & Yeh, Chun-Hsien, 2019. "Relations among the central rules in bankruptcy problems: A strategic perspective," Games and Economic Behavior, Elsevier, vol. 113(C), pages 515-532.

  10. Encarnación Algaba & Rene van den Brink & Chris Dietz, 2013. "Cooperative Games on Accessible Union Stable Systems," Tinbergen Institute Discussion Papers 13-207/II, Tinbergen Institute.

    Cited by:

    1. Emilio Calvo & Esther Gutiérrez-López, 2015. "The value in games with restricted cooperation," Discussion Papers in Economic Behaviour 0115, University of Valencia, ERI-CES.

  11. René van den Brink & Enrique González-Aranguena & Conrado Manuel & Mónica del Pozo, 2013. "Order Monotonic Solutions for Generalized Characteristic Functions," Tinbergen Institute Discussion Papers 13-093/II, Tinbergen Institute.

    Cited by:

    1. Conrado M. Manuel & Daniel Martín, 2020. "A Monotonic Weighted Shapley Value," Group Decision and Negotiation, Springer, vol. 29(4), pages 627-654, August.
    2. Rene (J.R.) van den Brink & Agnieszka Rusinowska, 2017. "The Degree Measure as Utility Function over Positions in Networks," Tinbergen Institute Discussion Papers 17-065/II, Tinbergen Institute.
    3. Araya-Córdova, P.J. & Vásquez, Óscar C., 2018. "The disaster emergency unit scheduling problem to control wildfires," International Journal of Production Economics, Elsevier, vol. 200(C), pages 311-317.
    4. C. Manuel & D. Martín, 2021. "A value for communication situations with players having different bargaining abilities," Annals of Operations Research, Springer, vol. 301(1), pages 161-182, June.
    5. Zhengxing Zou & Qiang Zhang & Surajit Borkotokey & Xiaohui Yu, 2020. "The extended Shapley value for generalized cooperative games under precedence constraints," Operational Research, Springer, vol. 20(2), pages 899-925, June.

  12. Rene van den Brink & Gerard van der Laan & Nigel Moes, 2012. "A Strategic Implementation of the Average Tree Solution for Cycle-Free Graph Games," Tinbergen Institute Discussion Papers 12-050/1, Tinbergen Institute.

    Cited by:

    1. Sylvain Béal & Eric Rémila & Philippe Solal, 2017. "A strategic implementation of the sequential equal surplus division rule for digraph cooperative games," Post-Print halshs-01381379, HAL.
    2. Sylvain Béal & Eric Rémila & Philippe Solal, 2015. "Characterization of the Average Tree solution and its kernel," Post-Print halshs-01212115, HAL.
    3. Hu, Cheng-Cheng & Tsay, Min-Hung & Yeh, Chun-Hsien, 2018. "A study of the nucleolus in the nested cost-sharing problem: Axiomatic and strategic perspectives," Games and Economic Behavior, Elsevier, vol. 109(C), pages 82-98.
    4. Philippe Solal & Sylvain Béal & Sylvain Ferrières & Eric Rémila, 2017. "Axiomatic and bargaining foundation of an allocation rule for ordered tree TU-games," Post-Print halshs-01644811, HAL.
    5. Béal, Sylvain & Ferrières, Sylvain & Rémila, Eric & Solal, Philippe, 2018. "Axiomatization of an allocation rule for ordered tree TU-games," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 132-140.
    6. Tsay, Min-Hung & Yeh, Chun-Hsien, 2019. "Relations among the central rules in bankruptcy problems: A strategic perspective," Games and Economic Behavior, Elsevier, vol. 113(C), pages 515-532.

  13. Rene van den Brink & Jean-Jacques Herings & Gerard van der Laan & Dolf Talman, 2012. "The Average Tree Permission Value for Games with a Permission Tree," Tinbergen Institute Discussion Papers 13-023/II, Tinbergen Institute.

    Cited by:

    1. René Brink, 2017. "Rejoinder on: Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 45-48, April.
    2. Sylvain Béal & Eric Rémila & Philippe Solal, 2017. "Discounted Tree Solutions," Post-Print halshs-01413007, HAL.
    3. Sylvain Béal & Eric Rémila & Philippe Solal, 2015. "Characterization of the Average Tree solution and its kernel," Post-Print halshs-01212115, HAL.
    4. Khmelnitskaya, A. & van der Laan, G. & Talman, Dolf, 2016. "Centrality Rewarding Shapley and Myerson Values for Undirected Graph Games," Other publications TiSEM f449b907-5e19-4702-b48e-a, Tilburg University, School of Economics and Management.
    5. Encarnacion Algaba & Rene van den Brink, 2021. "Networks, Communication and Hierarchy: Applications to Cooperative Games," Tinbergen Institute Discussion Papers 21-019/IV, Tinbergen Institute.
    6. Anna Khmelnitskaya & Gerard van der Laan & Dolf Talman, 2016. "Centrality Rewarding Shapley and Myerson Values for Undirected Graph Games," Tinbergen Institute Discussion Papers 16-070/II, Tinbergen Institute.
    7. David Lowing, 2021. "Allocation Rules for Multi-choice Games with a Permission Tree Structure," Working Papers 2106, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    8. René Brink & Chris Dietz & Gerard Laan & Genjiu Xu, 2017. "Comparable characterizations of four solutions for permission tree games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(4), pages 903-923, April.
    9. René van den Brink, 2017. "Games with a Permission Structure: a survey on generalizations and applications," Tinbergen Institute Discussion Papers 17-016/II, Tinbergen Institute.
    10. Mikel Álvarez-Mozos & Rene van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games with Hierarchical Structure," CER-ETH Economics working paper series 15/215, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    11. René Brink, 2017. "Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 1-33, April.
    12. Gómez-Rúa, María & Vidal-Puga, Juan, 2015. "A monotonic and merge-proof rule in minimum cost spanning tree situations," MPRA Paper 62923, University Library of Munich, Germany.
    13. Takayuki Oishi & Gerard van der Laan & René van den Brink, 2016. "An Axiomatic Analysis of Joint Liability Problems with Rooted -Tree Structure," Tinbergen Institute Discussion Papers 16-042/II, Tinbergen Institute.
    14. Takayuki Oishi & Gerard van der Laan & René van den Brink, 2018. "The Tort Law and the Nucleolus for Generalized Joint Liability Problems," Discussion Papers 37, Meisei University, School of Economics.
    15. Encarnacion Algaba & Rene van den Brink, 2019. "The Shapley Value and Games with Hierarchies," Tinbergen Institute Discussion Papers 19-064/II, Tinbergen Institute.
    16. Mikel Álvarez-Mozos & René van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games," Tinbergen Institute Discussion Papers 15-072/II, Tinbergen Institute.
    17. Suzuki, T., 2015. "Solutions for cooperative games with and without transferable utility," Other publications TiSEM 9bd876f2-c055-4d01-95f0-c, Tilburg University, School of Economics and Management.

  14. Rene van den Brink & Youngsub Chun & Yukihiko Funaki & Boram Park, 2012. "Consistency, Population Solidarity, and Egalitarian Solutions for TU-Games," Tinbergen Institute Discussion Papers 12-136/II, Tinbergen Institute.

    Cited by:

    1. Zhengxing Zou & Rene van den Brink & Yukihiko Funaki, 2020. "Compromising between the proportional and equal division values: axiomatization, consistency and implementation," Tinbergen Institute Discussion Papers 20-054/II, Tinbergen Institute.
    2. Zhengxing Zou & Rene van den Brink, 2020. "Sharing the Surplus and Proportional Values," Tinbergen Institute Discussion Papers 20-014/II, Tinbergen Institute.
    3. Calleja, Pere & Llerena Garrés, Francesc, 2018. "Weak fairness and the Shapley value," Working Papers 2072/306979, Universitat Rovira i Virgili, Department of Economics.
    4. Genjiu Xu & Han Dai & Haobin Shi, 2015. "Axiomatizations and a Noncooperative Interpretation of the α-CIS Value," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(05), pages 1-15.
    5. Pedro Calleja & Francesc Llerena, 2017. "Rationality, aggregate monotonicity and consistency in cooperative games: some (im)possibility results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 197-220, January.
    6. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2022. "On the axiomatic approach to sharing the revenues from broadcasting sports leagues," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 321-347, February.
    7. Valencia-Toledo, Alfredo & Vidal-Puga, Juan, 2017. "Duality in land rental problems," MPRA Paper 80509, University Library of Munich, Germany.
    8. Sylvain Ferrières, 2016. "Nullified equal loss property and equal division values," Working Papers 2016-06, CRESE.
    9. Casajus, André & Huettner, Frank, 2014. "Null, nullifying, or dummifying players: The difference between the Shapley value, the equal division value, and the equal surplus division value," Economics Letters, Elsevier, vol. 122(2), pages 167-169.
    10. Zhengxing Zou & René Brink & Yukihiko Funaki, 2022. "Sharing the surplus and proportional values," Theory and Decision, Springer, vol. 93(1), pages 185-217, July.
    11. Koji Yokote & Takumi Kongo & Yukihiko Funaki, 2019. "Relationally equal treatment of equals and affine combinations of values for TU games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(2), pages 197-212, August.
    12. Takumi Kongo, 2018. "Effects of Players’ Nullification and Equal (Surplus) Division Values," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(01), pages 1-14, March.
    13. Zhengxing Zou & Rene van den Brink & Youngsub Chun & Yukihiko Funaki, 2019. "Axiomatizations of the proportional division value," Tinbergen Institute Discussion Papers 19-072/II, Tinbergen Institute.
    14. Sylvain Béal & Eric Rémila & Philippe Solal, 2019. "Coalitional desirability and the equal division value," Theory and Decision, Springer, vol. 86(1), pages 95-106, February.
    15. Koji Yokote & Takumi Kongo & Yukihiko Funaki, 2021. "Redistribution to the less productive: parallel characterizations of the egalitarian Shapley and consensus values," Theory and Decision, Springer, vol. 91(1), pages 81-98, July.
    16. Calleja, Pere & Llerena Garrés, Francesc, 2016. "Consistency distinguishes the (weighted) Shapley value, the (weighted) surplus division value and the prenucleolus," Working Papers 2072/266577, Universitat Rovira i Virgili, Department of Economics.
    17. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2015. "Preserving or removing special players: What keeps your payoff unchanged in TU-games?," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 23-31.
    18. Sylvain Béal & André Casajus & Frank Huettner & Eric Rémila & Philippe Solal, 2016. "Characterizations of weighted and equal division values," Theory and Decision, Springer, vol. 80(4), pages 649-667, April.
    19. Sylvain Ferrières, 2017. "Nullified equal loss property and equal division values," Theory and Decision, Springer, vol. 83(3), pages 385-406, October.
    20. Calleja, Pedro & Llerena, Francesc, 2020. "Consistency, weak fairness, and the Shapley value," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 28-33.
    21. Rene van den Brink & Youngsub Chun & Yukihiko Funaki & Zhengxing Zou, 2021. "Balanced Externalities and the Proportional Allocation of Nonseparable Contributions," Tinbergen Institute Discussion Papers 21-024/II, Tinbergen Institute.
    22. Sylvain Béal & André Casajus & Frank Huettner & Éric Rémila & Philippe Solal, 2014. "Solidarity within a Fixed Community," Post-Print halshs-01090487, HAL.
    23. Xun-Feng Hu & Deng-Feng Li, 2021. "The Equal Surplus Division Value for Cooperative Games with a Level Structure," Group Decision and Negotiation, Springer, vol. 30(6), pages 1315-1341, December.
    24. Hu, Xun-Feng, 2019. "Coalitional surplus desirability and the equal surplus division value," Economics Letters, Elsevier, vol. 179(C), pages 1-4.
    25. Calleja, Pere & Llerena Garrés, Francesc, 2015. "On the (in)compatibility of rationality, monotonicity and consistency for cooperative games," Working Papers 2072/247807, Universitat Rovira i Virgili, Department of Economics.
    26. Zou, Zhengxing & van den Brink, René & Funaki, Yukihiko, 2021. "Compromising between the proportional and equal division values," Journal of Mathematical Economics, Elsevier, vol. 97(C).
    27. J. M. Alonso-Meijide & J. Costa & I. García-Jurado & J. C. Gonçalves-Dosantos, 2020. "On egalitarian values for cooperative games with a priori unions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(3), pages 672-688, October.
    28. Oishi, Takayuki & Nakayama, Mikio & Hokari, Toru & Funaki, Yukihiko, 2016. "Duality and anti-duality in TU games applied to solutions, axioms, and axiomatizations," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 44-53.
    29. van den Brink, René & Chun, Youngsub & Funaki, Yukihiko & Zou, Zhengxing, 2023. "Balanced externalities and the proportional allocation of nonseparable contributions," European Journal of Operational Research, Elsevier, vol. 307(2), pages 975-983.
    30. Pedro Calleja & Francesc Llerena, 2019. "Path monotonicity, consistency and axiomatizations of some weighted solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 287-310, March.

  15. Rene van den Brink & Miklos Pinter, 2012. "On Axiomatizations of the Shapley Value for Assignment Games," Tinbergen Institute Discussion Papers 12-092/II, Tinbergen Institute.

    Cited by:

    1. Trudeau, Christian, 2018. "From the bankruptcy problem and its Concede-and-Divide solution to the assignment problem and its Fair Division solution," Games and Economic Behavior, Elsevier, vol. 108(C), pages 225-238.
    2. Csató, László, 2013. "Rangsorolás páros összehasonlításokkal. Kiegészítések a felvételizői preferencia-sorrendek módszertanához [Paired comparisons ranking. A supplement to the methodology of application-based preferenc," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(12), pages 1333-1353.
    3. Schouten, Jop, 2022. "Cooperation, allocation and strategy in interactive decision-making," Other publications TiSEM d5d41448-8033-4f6b-8ec0-c, Tilburg University, School of Economics and Management.
    4. Rene (J.R.) van den Brink & Osman Palanci & S. Zeynep Alparslan Gok, 2017. "Interval Solutions for Tu-games," Tinbergen Institute Discussion Papers 17-094/II, Tinbergen Institute.
    5. René van den Brink & Agnieszka Rusinowska, 2022. "The degree measure as utility function over positions in graphs and digraphs," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-03513560, HAL.
    6. Encarnacion Algaba & Rene van den Brink, 2021. "Networks, Communication and Hierarchy: Applications to Cooperative Games," Tinbergen Institute Discussion Papers 21-019/IV, Tinbergen Institute.
    7. Rene (J.R.) van den Brink & Marina Nunez & Francisco Robles, 2018. "Valuation Monotonicity, Fairness and Stability in Assignment Problems," Tinbergen Institute Discussion Papers 18-071/II, Tinbergen Institute.
    8. Schouten, Jop & Dietzenbacher, Bas & Borm, Peter, 2019. "The Nucleolus and Inheritance of Properties in Communication Situations," Discussion Paper 2019-008, Tilburg University, Center for Economic Research.
    9. R. Branzei & E. Gutiérrez & N. Llorca & J. Sánchez-Soriano, 2021. "Does it make sense to analyse a two-sided market as a multi-choice game?," Annals of Operations Research, Springer, vol. 301(1), pages 17-40, June.
    10. Schouten, Jop & Dietzenbacher, Bas & Borm, Peter, 2019. "The Nucleolus and Inheritance of Properties in Communication Situations," Other publications TiSEM bacc7f47-9b6b-4ce4-9f97-4, Tilburg University, School of Economics and Management.
    11. Csató, László, 2019. "A characterization of the Logarithmic Least Squares Method," European Journal of Operational Research, Elsevier, vol. 276(1), pages 212-216.
    12. McQuillin, Ben & Sugden, Robert, 2018. "Balanced externalities and the Shapley value," Games and Economic Behavior, Elsevier, vol. 108(C), pages 81-92.
    13. Francesc Llerena & Marina Núñez & Carles Rafels, 2015. "An axiomatization of the nucleolus of assignment markets," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(1), pages 1-15, February.

  16. Conrado Manuel & Enrique Gonzalez-Aranguena & Rene van den Brink|, 2012. "Players Indifferent to cooperate and Characterizations of the Shapley Value," Tinbergen Institute Discussion Papers 12-036/1, Tinbergen Institute.

    Cited by:

    1. van den Brink, René & González-Arangüena, Enrique & Manuel, Conrado & del Pozo, Mónica, 2014. "Order monotonic solutions for generalized characteristic functions," European Journal of Operational Research, Elsevier, vol. 238(3), pages 786-796.
    2. Xun-Feng Hu, 2021. "New axiomatizations of the Owen value," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 93(3), pages 585-603, June.

  17. Rene van den Brink & Chris Dietz, 2012. "Games with a Local Permission Structure: Separation of Authority and Value Generation," Tinbergen Institute Discussion Papers 12-126/II, Tinbergen Institute.

    Cited by:

    1. Sylvain Béal & Sylvain Ferrières & Philippe Solal, 2020. "The Priority Value for Cooperative Games with a Priority Structure," Working Papers 2020-02, CRESE.
    2. Sylvain Béal & Marc Deschamps & Alexandre Skoda, 2024. "The neighborhood value for cooperative graph games," Working Papers 2024-16, CRESE.
    3. Encarnacion Algaba & Rene van den Brink, 2021. "Networks, Communication and Hierarchy: Applications to Cooperative Games," Tinbergen Institute Discussion Papers 21-019/IV, Tinbergen Institute.
    4. Hao Wu & Rene van den Brink & Arantza Estevez-Fernandez, 2022. "The locally partial permission value for games with a permission structure," Tinbergen Institute Discussion Papers 22-037/II, Tinbergen Institute.
    5. René Brink & Chris Dietz & Gerard Laan & Genjiu Xu, 2017. "Comparable characterizations of four solutions for permission tree games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(4), pages 903-923, April.
    6. Tobias Hiller, 2021. "Hierarchy and the size of a firm," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 68(3), pages 389-404, September.
    7. A. Jiménez-Losada, 2017. "Comments on: Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 39-41, April.
    8. René van den Brink, 2017. "Games with a Permission Structure: a survey on generalizations and applications," Tinbergen Institute Discussion Papers 17-016/II, Tinbergen Institute.
    9. René Brink, 2017. "Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 1-33, April.

  18. Mikel Alvarez-Mozos & Rene van den Brink & Gerard van der Laan & Oriol Tejada, 2012. "Share Functions for Cooperative Games with Levels Structure of Cooperation," Tinbergen Institute Discussion Papers 12-052/1, Tinbergen Institute.

    Cited by:

    1. J. Alonso-Meijide & B. Casas-Méndez & A. González-Rueda & S. Lorenzo-Freire, 2014. "Axiomatic of the Shapley value of a game with a priori unions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 749-770, July.
    2. Mikel Álvarez-Mozos & Rene van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games with Hierarchical Structure," CER-ETH Economics working paper series 15/215, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    3. Xun-Feng Hu & Deng-Feng Li, 2021. "The Equal Surplus Division Value for Cooperative Games with a Level Structure," Group Decision and Negotiation, Springer, vol. 30(6), pages 1315-1341, December.
    4. Mikel Álvarez-Mozos & René van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games," Tinbergen Institute Discussion Papers 15-072/II, Tinbergen Institute.

  19. René van den Brink & Agnieszka Rusinowska & Frank Steffen, 2011. "Measuring Power and Satisfaction in Societies with Opinion Leaders: An Axiomatization," Documents de travail du Centre d'Economie de la Sorbonne 11018, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.

    Cited by:

    1. René van den Brink & Agnieszka Rusinowska & Frank Steffen, 2013. "Measuring Power and Satisfaction in Societies with Opinion Leaders," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00756720, HAL.
    2. René van den Brink & Agnieszka Rusinowska & Frank Steffen, 2011. "Measuring Power and Satisfaction in Societies with Opinion Leaders: An Axiomatization," Post-Print halshs-00587726, HAL.
    3. Maurice Koster & Sascha Kurz & Ines Lindner & Stefan Napel, 2017. "The prediction value," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 433-460, February.
    4. Sascha Kurz, 2014. "Measuring Voting Power in Convex Policy Spaces," Economies, MDPI, vol. 2(1), pages 1-33, March.
    5. René van den Brink & Agnieszka Rusinowska & Frank Steffen, 2011. "Measuring Power and Satisfaction in Societies with Opinion Leaders: Dictator and Opinion Leader Properties," Post-Print hal-00633881, HAL.
    6. Ibarzabal, Nora & Laruelle, Annick, 2018. "Ghost seats in parliaments," European Journal of Operational Research, Elsevier, vol. 264(1), pages 354-363.
    7. Gusev, Vasily V., 2020. "The vertex cover game: Application to transport networks," Omega, Elsevier, vol. 97(C).
    8. René van den Brink & Frank Steffen, 2012. "On the Measurement of Success and Satisfaction," Tinbergen Institute Discussion Papers 12-030/1, Tinbergen Institute.

  20. Encarnacion Algaba & Jesus Mario Bilbao & Rene van den Brink & Jorge J. Lopez, 2011. "The Myerson Value and Superfluous Supports in Union Stable Systems," Tinbergen Institute Discussion Papers 11-127/1, Tinbergen Institute.

    Cited by:

    1. E. Algaba & J. Bilbao & R. Brink, 2015. "Harsanyi power solutions for games on union stable systems," Annals of Operations Research, Springer, vol. 225(1), pages 27-44, February.

  21. Rene van den Brink & Ilya Katsev & Gerard van der Laan, 2011. "Games on Union Closed Systems," Tinbergen Institute Discussion Papers 11-036/1, Tinbergen Institute.

    Cited by:

    1. Sylvain Béal & André Casajus & Eric Rémila & Philippe Solal, 2021. "Cohesive efficiency in TU-games: axiomatizations of variants of the Shapley value, egalitarian values and their convex combinations," Annals of Operations Research, Springer, vol. 302(1), pages 23-47, July.
    2. van den Brink, R. & van der Laan, G. & Herings, P.J.J. & Talman, A.J.J., 2015. "The Average Tree permission value for games with a permission tree," Other publications TiSEM 97042492-4b03-4e72-b88d-d, Tilburg University, School of Economics and Management.
    3. van den Brink, R. & Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2013. "The Average Tree Permission Value for Games with a Permission Tree," Other publications TiSEM 7f82484a-b6d8-4d2e-90cb-8, Tilburg University, School of Economics and Management.
    4. Sylvain Béal & Issofa Moyouwou & Eric Rémila & Phillippe Solal, 2018. "Cooperative games on intersection closed systems and the Shapley value," Working Papers 2018-06, CRESE.
    5. Sylvain Béal & Eric Rémila & Philippe Solal, 2015. "Characterization of the Average Tree solution and its kernel," Post-Print halshs-01212115, HAL.
    6. Sylvain Béal & André Casajus & Eric Rémila & Philippe Solal, 2019. "Cohesive efficiency in TU-games: Two extensions of the Shapley value," Working Papers 2019-03, CRESE.
    7. René Brink & Chris Dietz & Gerard Laan & Genjiu Xu, 2017. "Comparable characterizations of four solutions for permission tree games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(4), pages 903-923, April.
    8. Julia Belau, 2013. "An outside-option-sensitive allocation rule for networks: the kappa-value," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 175-188, November.
    9. van den Brink, J.R. & Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2013. "The average tree permission value for games with a permission tree," Research Memorandum 001, Maastricht University, Graduate School of Business and Economics (GSBE).
    10. E. Algaba & J. Bilbao & R. Brink, 2015. "Harsanyi power solutions for games on union stable systems," Annals of Operations Research, Springer, vol. 225(1), pages 27-44, February.
    11. Derks, Jean, 2018. "The Shapley value of conjunctive-restricted games," Games and Economic Behavior, Elsevier, vol. 108(C), pages 146-151.
    12. Zhengxing Zou & Qiang Zhang, 2018. "Harsanyi power solution for games with restricted cooperation," Journal of Combinatorial Optimization, Springer, vol. 35(1), pages 26-47, January.

  22. Encarnacion Algaba & Jesus Mario Bilbao & Rene van den Brink, 2011. "Harsanyi Power Solutions for Games on Union Stable Systems," Tinbergen Institute Discussion Papers 11-182/1, Tinbergen Institute.

    Cited by:

    1. Encarnación Algaba & Stefano Moretti & Eric Rémila & Philippe Solal, 2021. "Lexicographic solutions for coalitional rankings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(4), pages 817-849, November.
    2. Encarnacion Algaba & Rene van den Brink, 2021. "Networks, Communication and Hierarchy: Applications to Cooperative Games," Tinbergen Institute Discussion Papers 21-019/IV, Tinbergen Institute.
    3. Liying Kang & Anna Khmelnitskaya & Erfang Shan & Dolf Talman & Guang Zhang, 2021. "The average tree value for hypergraph games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 94(3), pages 437-460, December.
    4. Encarnacion Algaba & Sylvain Béal & Eric Rémila & Philippe Solal, 2019. "Harsanyi power solutions for cooperative games on voting structures," Post-Print halshs-02409438, HAL.
    5. C. Manuel & E. Ortega & M. del Pozo, 2023. "Marginality and the position value," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(2), pages 459-474, July.
    6. Clinton Gubong Gassi, 2024. "A Characterization of the Myerson value for cooperative games on voting structures," Working Papers 2024-10, CRESE.
    7. Rene van den Brink & Ilya Katsev & Gerard van der Laan, 2023. "Properties of Solutions for Games on Union-Closed Systems," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
    8. Encarnacion Algaba & Rene van den Brink, 2019. "The Shapley Value and Games with Hierarchies," Tinbergen Institute Discussion Papers 19-064/II, Tinbergen Institute.
    9. Encarnacion Algaba & Jesus Mario Bilbao & Rene van den Brink & Jorge J. Lopez, 2011. "The Myerson Value and Superfluous Supports in Union Stable Systems," Tinbergen Institute Discussion Papers 11-127/1, Tinbergen Institute.
    10. Kang, Liying & Khmelnitskaya, Anna & Shan, Erfang & Talman, A.J.J. & Zhang, Guang, 2020. "The Average Tree value for Hypergraph Games," Other publications TiSEM 331f101b-09ee-47d6-afdf-e, Tilburg University, School of Economics and Management.
    11. Encarnación Algaba & René Brink & Chris Dietz, 2018. "Network Structures with Hierarchy and Communication," Journal of Optimization Theory and Applications, Springer, vol. 179(1), pages 265-282, October.
    12. E. Algaba & J. M. Bilbao & R. Brink & J. J. López, 2012. "The Myerson Value and Superfluous Supports in Union Stable Systems," Journal of Optimization Theory and Applications, Springer, vol. 155(2), pages 650-668, November.
    13. Zhengxing Zou & Qiang Zhang, 2018. "Harsanyi power solution for games with restricted cooperation," Journal of Combinatorial Optimization, Springer, vol. 35(1), pages 26-47, January.

  23. Rene van den Brink & Arantza Estevez-Fernandez & Gerard van der Laan & Nigel Moes, 2011. "Independence Axioms for Water Allocation," Tinbergen Institute Discussion Papers 11-128/1, Tinbergen Institute.

    Cited by:

    1. Luc Champarnaud & Amandine Ghintran & Frédéric Jouneau-Sion, 2021. "‘NEXT’ events: a cooperative game theoretic view to festivals," Post-Print hal-03267559, HAL.
    2. Ambec, Stefan & Dinar, Ariel & McKinney, Daene, 2013. "Water sharing agreements sustainable to reduced flows," Journal of Environmental Economics and Management, Elsevier, vol. 66(3), pages 639-655.
    3. Sylvain Beal & Amandine Ghintran & Eric Remila & Philippe Solal, 2013. "The River Sharing Problem: A Survey," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 1-19.
    4. Ansink, Erik & Weikard, Hans-Peter, 2013. "Composition properties in the river claims problem," MPRA Paper 51618, University Library of Munich, Germany.
    5. Gerard van der Laan & Nigel Moes, 2012. "Transboundary Externalities and Property Rights: An International River Pollution Model," Tinbergen Institute Discussion Papers 12-006/1, Tinbergen Institute.

  24. Rene van den Brink & Anna Khmelnitskaya & Gerard van der Laan, 2011. "An Efficient and Fair Solution for Communication Graph Games," Tinbergen Institute Discussion Papers 11-052/1, Tinbergen Institute.

    Cited by:

    1. Guang Zhang & Erfang Shan & Liying Kang & Yanxia Dong, 2017. "Two efficient values of cooperative games with graph structure based on $$\tau $$ τ -values," Journal of Combinatorial Optimization, Springer, vol. 34(2), pages 462-482, August.
    2. Sylvain Béal & André Casajus & Eric Rémila & Philippe Solal, 2021. "Cohesive efficiency in TU-games: axiomatizations of variants of the Shapley value, egalitarian values and their convex combinations," Annals of Operations Research, Springer, vol. 302(1), pages 23-47, July.
    3. Rong Zou & Genjiu Xu & Dongshuang Hou, 2023. "Efficient extensions of the Myerson value based on endogenous claims from players," Annals of Operations Research, Springer, vol. 323(1), pages 287-300, April.
    4. Sylvain Béal & André Casajus & Frank Huettner, 2018. "Efficient extensions of communication values," Annals of Operations Research, Springer, vol. 264(1), pages 41-56, May.
    5. Rene van den Brink & Anna Khmelnitskaya & Gerard van der Laan, 2011. "An Owen-Type Value for Games with Two-Level Communication Structures," Tinbergen Institute Discussion Papers 11-089/1, Tinbergen Institute.
    6. Xun-Feng Hu & Gen-Jiu Xu & Deng-Feng Li, 2019. "The Egalitarian Efficient Extension of the Aumann–Drèze Value," Journal of Optimization Theory and Applications, Springer, vol. 181(3), pages 1033-1052, June.
    7. Sylvain Béal & André Casajus & Eric Rémila & Philippe Solal, 2019. "Cohesive efficiency in TU-games: Two extensions of the Shapley value," Working Papers 2019-03, CRESE.
    8. Sylvain Béal & André Casajus & Frank Huettner, 2015. "Efficient extensions of the Myerson value," Working Papers 2015-01, CRESE.
    9. Aguiar, Victor H. & Pongou, Roland & Tondji, Jean-Baptiste, 2018. "A non-parametric approach to testing the axioms of the Shapley value with limited data," Games and Economic Behavior, Elsevier, vol. 111(C), pages 41-63.
    10. Shan, Erfang & Zhang, Guang & Dong, Yanxia, 2016. "Component-wise proportional solutions for communication graph games," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 22-28.
    11. Béal, Sylvain & Casajus, André & Huettner, Frank, 2016. "On the existence of efficient and fair extensions of communication values for connected graphs," Economics Letters, Elsevier, vol. 146(C), pages 103-106.
    12. Shi, Jilei & Shan, Erfang, 2020. "Weighted component-wise solutions for graph games," Economics Letters, Elsevier, vol. 192(C).
    13. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2012. "Fairness and fairness for neighbors: The difference between the Myerson value and component-wise egalitarian solutions," Economics Letters, Elsevier, vol. 117(1), pages 263-267.
    14. Erfang Shan & Zhiqiang Yu & Wenrong Lyu, 2023. "Union-wise egalitarian solutions in cooperative games with a coalition structure," 4OR, Springer, vol. 21(3), pages 533-545, September.
    15. Xun-Feng Hu, 2020. "The weighted Shapley-egalitarian value for cooperative games with a coalition structure," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(1), pages 193-212, April.
    16. Hu, Xun-Feng, 2019. "Coalitional surplus desirability and the equal surplus division value," Economics Letters, Elsevier, vol. 179(C), pages 1-4.
    17. Daniel Li Li & Erfang Shan, 2020. "Efficient quotient extensions of the Myerson value," Annals of Operations Research, Springer, vol. 292(1), pages 171-181, September.
    18. Erfang Shan & Jilei Shi & Wenrong Lyu, 2023. "The efficient partition surplus Owen graph value," Annals of Operations Research, Springer, vol. 320(1), pages 379-392, January.
    19. Hu, Xun-Feng & Li, Deng-Feng & Xu, Gen-Jiu, 2018. "Fair distribution of surplus and efficient extensions of the Myerson value," Economics Letters, Elsevier, vol. 165(C), pages 1-5.

  25. René van den Brink & Agnieszka Rusinowska & Frank Steffen, 2011. "Measuring Power and Satisfaction in Societies with Opinion Leaders: Dictator and Opinion Leader Properties," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00633881, HAL.

    Cited by:

    1. Michel Grabisch & Agnieszka Rusinowska, 2010. "A model of influence with an ordered set of possible actions," Theory and Decision, Springer, vol. 69(4), pages 635-656, October.
    2. Francis Aniefiok Bassey & John Nsikan Efiok & Okon & Saviour Sylvester & Inegbedion Daniel Osemudiamen, 2015. "Opinion Leadership and Marketing of Life Assurance in Selected Insurance Firms in Nigeria," International Journal of Empirical Finance, Research Academy of Social Sciences, vol. 4(3), pages 131-141.
    3. René van den Brink & Agnieszka Rusinowska & Frank Steffen, 2011. "Measuring Power and Satisfaction in Societies with Opinion Leaders: An Axiomatization," Post-Print halshs-00587726, HAL.
    4. René van den Brink, 2009. "Comparable Axiomatizations of the Myerson Value, the Restricted Banzhaf Value, Hierarchical Outcomes and the Average Tree Solution for Cycle-Free Graph Restricted Games," Tinbergen Institute Discussion Papers 09-108/1, Tinbergen Institute.
    5. Michel Grabisch & Agnieszka Rusinowska, 2010. "Different Approaches to Influence Based on Social Networks and Simple Games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00514850, HAL.
    6. Gusev, Vasily V., 2020. "The vertex cover game: Application to transport networks," Omega, Elsevier, vol. 97(C).
    7. René van den Brink & Frank Steffen, 2012. "On the Measurement of Success and Satisfaction," Tinbergen Institute Discussion Papers 12-030/1, Tinbergen Institute.

  26. Rene van den Brink & Anna Khmelnitskaya & Gerard van der Laan, 2011. "An Owen-Type Value for Games with Two-Level Communication Structures," Tinbergen Institute Discussion Papers 11-089/1, Tinbergen Institute.

    Cited by:

    1. Guang Zhang & Erfang Shan & Liying Kang & Yanxia Dong, 2017. "Two efficient values of cooperative games with graph structure based on $$\tau $$ τ -values," Journal of Combinatorial Optimization, Springer, vol. 34(2), pages 462-482, August.
    2. CAULIER, Jean-François & MAULEON, Ana & VANNETELBOSCH, Vincent, 2015. "Allocation rules for coalitional network games," LIDAM Reprints CORE 2718, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Schouten, Jop, 2022. "Cooperation, allocation and strategy in interactive decision-making," Other publications TiSEM d5d41448-8033-4f6b-8ec0-c, Tilburg University, School of Economics and Management.
    4. Sylvain Béal & Anna Khmelnitskaya & Philippe Solal, 2015. "Two-step values for games with two-level communication structure," Working Papers 2015-02, CRESE.
    5. Schouten, Jop & Dietzenbacher, Bas & Borm, Peter, 2019. "The Nucleolus and Inheritance of Properties in Communication Situations," Discussion Paper 2019-008, Tilburg University, Center for Economic Research.
    6. Schouten, Jop & Dietzenbacher, Bas & Borm, Peter, 2019. "The Nucleolus and Inheritance of Properties in Communication Situations," Other publications TiSEM bacc7f47-9b6b-4ce4-9f97-4, Tilburg University, School of Economics and Management.
    7. Sylvain Béal & Eric Rémila & Philippe Solal, 2022. "Allocation rules for cooperative games with restricted communication and a priori unions based on the Myerson value and the average tree solution," Journal of Combinatorial Optimization, Springer, vol. 43(4), pages 818-849, May.

  27. Rene van den Brink & Yukihiko Funaki, 2010. "Axiomatization and Implementation of Discounted Shapley Values," Tinbergen Institute Discussion Papers 10-065/1, Tinbergen Institute.

    Cited by:

    1. Rene van den Brink & Gerard van der Laan & Nigel Moes, 2012. "A Strategic Implementation of the Average Tree Solution for Cycle-Free Graph Games," Tinbergen Institute Discussion Papers 12-050/1, Tinbergen Institute.
    2. Marco Rogna, 2020. "The Burning Coalition Bargaining Model," BEMPS - Bozen Economics & Management Paper Series BEMPS69, Faculty of Economics and Management at the Free University of Bozen.
    3. Emilio Calvo & Esther Gutiérrez-López, 2018. "Discounted Solidarity Values," Discussion Papers in Economic Behaviour 0418, University of Valencia, ERI-CES.
    4. Koji Yokote & Yukihiko Funaki & Yoshio Kamijo, 2015. "A new basis and the Shapley value," Working Papers 1418, Waseda University, Faculty of Political Science and Economics.
    5. Tomohiko Kawamori, 2016. "Hart–Mas-Colell implementation of the discounted Shapley value," Theory and Decision, Springer, vol. 81(3), pages 357-369, September.
    6. Emilio Calvo & Esther Gutiérrez-López, 2014. "A strategic approach for the discounted Shapley values," Discussion Papers in Economic Behaviour 0414, University of Valencia, ERI-CES.

  28. Rene van den Brink & Gerard van der Laan & Nigel Moes, 2010. "Fair Agreements for Sharing International Rivers with Multiple Springs and Externalities," Tinbergen Institute Discussion Papers 10-096/1, Tinbergen Institute.

    Cited by:

    1. Houba, Harold & van der Laan, Gerard & Zeng, Yuyu, 2014. "Asymmetric Nash Solutions in the River Sharing Problem," Strategic Behavior and the Environment, now publishers, vol. 4(4), pages 321-360, December.
    2. Yuzhi Yang & Erik Ansink & Jens Gudmundsson, 2023. "How to Pollute a River If You Must," Tinbergen Institute Discussion Papers 23-036/VIII, Tinbergen Institute, revised 01 Jun 2024.
    3. Yuzhi Yang & Erik Ansink, 2022. "The river pollution claims problem," Tinbergen Institute Discussion Papers 22-058/VIII, Tinbergen Institute.
    4. Sylvain Béal & Éric Rémila & Philippe Solal, 2012. "Weighted component fairness for forest games," Post-Print halshs-00678832, HAL.
    5. René van den Brink & Simin He & Jia-Ping Huang, 2015. "Polluted River Problems and Games with a Permission Structure," Tinbergen Institute Discussion Papers 15-108/II, Tinbergen Institute.
    6. Ricardo Martinez & Juan D. Moreno-Ternero, 2024. "Fair allocation of riparian water rights," Papers 2407.14623, arXiv.org.
    7. Erik Ansink & Michael Gengenbach & Hans-Peter Weikard, 2012. "River Sharing and Water Trade," Working Papers 2012.17, Fondazione Eni Enrico Mattei.
    8. Grundel, S. & Borm, P.E.M. & Hamers, H.J.M., 2013. "Resource Allocation Problems with Concave Reward Functions," Other publications TiSEM b72ed3dc-ecc8-49d4-86af-d, Tilburg University, School of Economics and Management.
    9. Rene van den Brink & Gerard van der Laan & Nigel Moes, 2012. "A Strategic Implementation of the Average Tree Solution for Cycle-Free Graph Games," Tinbergen Institute Discussion Papers 12-050/1, Tinbergen Institute.
    10. Ambec, Stefan, 2020. "Environmental markets exacerbate inequalities," TSE Working Papers 20-1120, Toulouse School of Economics (TSE).
    11. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, September.
    12. Juarez, Ruben & Ko, Chiu Yu & Xue, Jingyi, 2016. "Sharing Sequential Values in a Network," Economics and Statistics Working Papers 3-2017, Singapore Management University, School of Economics.
    13. Rene van den Brink & Arantza Estevez-Fernandez & Gerard van der Laan & Nigel Moes, 2011. "Independence Axioms for Water Allocation," Tinbergen Institute Discussion Papers 11-128/1, Tinbergen Institute.
    14. Li, Zhi & Zhang, Xin & Xu, Wenchao, 2018. "Water Transactions along a River: A Multilateral Bargaining Experiment with a Veto Player," 2018 Annual Meeting, August 5-7, Washington, D.C. 274048, Agricultural and Applied Economics Association.
    15. Lea Melnikovová, 2017. "Can Game Theory Help to Mitigate Water Conflicts in the Syrdarya Basin?," Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, Mendel University Press, vol. 65(4), pages 1393-1401.
    16. Rene van den Brink & Saish Nevrekar, 2020. "Peaceful Agreements to Share a River," Tinbergen Institute Discussion Papers 20-016/II, Tinbergen Institute.
    17. Shivshanker Singh Patel & Parthasarathy Ramachandran, 2019. "A Bilateral River Bargaining Problem with Negative Externality," Papers 1912.05844, arXiv.org.
    18. Dongshuang Hou & Aymeric Lardon & Panfei Sun & Genjiu Xu, 2019. "Sharing a Polluted River under Waste Flow Control," GREDEG Working Papers 2019-23, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    19. Khmelnitskaya, A. & van der Laan, G. & Talman, Dolf, 2016. "Centrality Rewarding Shapley and Myerson Values for Undirected Graph Games," Other publications TiSEM f449b907-5e19-4702-b48e-a, Tilburg University, School of Economics and Management.
    20. Ambec, Stefan & Dinar, Ariel & McKinney, Daene, 2013. "Water sharing agreements sustainable to reduced flows," Journal of Environmental Economics and Management, Elsevier, vol. 66(3), pages 639-655.
    21. René Brink & Arantza Estévez-Fernández & Gerard Laan & Nigel Moes, 2014. "Independence of downstream and upstream benefits in river water allocation problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 173-194, June.
    22. Harold Houba & Erik Ansink, 2013. "Sustainable Agreements on Stochastic River Flow," Tinbergen Institute Discussion Papers 13-182/II, Tinbergen Institute.
    23. Anna Khmelnitskaya & Gerard van der Laan & Dolf Talman, 2016. "Centrality Rewarding Shapley and Myerson Values for Undirected Graph Games," Tinbergen Institute Discussion Papers 16-070/II, Tinbergen Institute.
    24. Sarina Steinmann & Ralph Winkler, 2019. "Sharing a River with Downstream Externalities," Games, MDPI, vol. 10(2), pages 1-15, May.
    25. René Brink & Gerard Laan & Nigel Moes, 2015. "Values for transferable utility games with coalition and graph structure," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(1), pages 77-99, April.
    26. Sylvain Béal & Amandine Ghintran & Eric Rémila & Philippe Solal, 2012. "The Sequential Equal Surplus Division for Sharing International Rivers with Bifurcations," Working Papers 2012-02, CRESE.
    27. Harold Houba & Gerard Laan & Yuyu Zeng, 2015. "International Environmental Agreements for River Sharing Problems," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 62(4), pages 855-872, December.
    28. Erik Ansink & Harold Houba, 2014. "The Economics of Transboundary River Management," Tinbergen Institute Discussion Papers 14-132/VIII, Tinbergen Institute.
    29. Jorge Alcalde-Unzu & Maria Gomez-Rua & Elena Molis, 2018. "Allocating the costs of cleaning a river; estimating responsibilities versus incentive compatibility," ThE Papers 18/02, Department of Economic Theory and Economic History of the University of Granada..
    30. Gudmundsson, Jens & Hougaard, Jens Leth & Ko, Chiu Yu, 2019. "Decentralized mechanisms for river sharing," Journal of Environmental Economics and Management, Elsevier, vol. 94(C), pages 67-81.
    31. Jorge Alcalde-Unzu & María Gómez-Rúa & Elena Molis, 2021. "Allocating the costs of cleaning a river: expected responsibility versus median responsibility," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 185-214, March.
    32. van den Brink, René & He, Simin & Huang, Jia-Ping, 2018. "Polluted river problems and games with a permission structure," Games and Economic Behavior, Elsevier, vol. 108(C), pages 182-205.
    33. Athanasoglou, Stergios, 2022. "On the existence of efficient, individually rational, and fair environmental agreements," Journal of Mathematical Economics, Elsevier, vol. 98(C).
    34. Takayuki Oishi, 2018. "Legal and Political Agreements for Sharing International Rivers with Water Shortage," Discussion Papers 39, Meisei University, School of Economics.
    35. Jens Gudmundsson & Jens Leth Hougaard, 2021. "River pollution abatement: Decentralized solutions and smart contracts," IFRO Working Paper 2021/07, University of Copenhagen, Department of Food and Resource Economics, revised Oct 2021.
    36. Soesja Grundel & Peter Borm & Herbert Hamers, 2019. "Resource allocation problems with concave reward functions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(1), pages 37-54, April.
    37. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2012. "The sequential equal surplus division for sharing a river," MPRA Paper 37346, University Library of Munich, Germany.
    38. Sylvain Béal & Eric Rémila & Philippe Solal, 2022. "Allocation rules for cooperative games with restricted communication and a priori unions based on the Myerson value and the average tree solution," Journal of Combinatorial Optimization, Springer, vol. 43(4), pages 818-849, May.
    39. Shivshanker Singh Patel & Parthasarathy Ramachandran, 2022. "A bargaining model for sharing water in a river with negative externality," OPSEARCH, Springer;Operational Research Society of India, vol. 59(2), pages 645-666, June.
    40. Ansink, Erik & Weikard, Hans-Peter, 2013. "Composition properties in the river claims problem," MPRA Paper 51618, University Library of Munich, Germany.
    41. Panfei Sun & Dongshuang Hou & Hao Sun, 2019. "Responsibility and sharing the cost of cleaning a polluted river," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 89(1), pages 143-156, February.
    42. Fabien Martinez, 2015. "A Three-Dimensional Conceptual Framework of Corporate Water Responsibility," Post-Print hal-02887624, HAL.
    43. Encarnacion Algaba & René van den Brink & Chris Dietz, 2015. "Power Measures and Solutions for Games under Precedence Constraints," Tinbergen Institute Discussion Papers 15-007/II, Tinbergen Institute.
    44. Jorge Alcalde-Unzu & María Gómez-Rúa & Elena Molis, 2013. "Sharing the costs of cleaning a river: the Upstream Responsibility rule," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 1301, Departamento de Economía - Universidad Pública de Navarra.
    45. Gerard van der Laan & Nigel Moes, 2012. "Transboundary Externalities and Property Rights: An International River Pollution Model," Tinbergen Institute Discussion Papers 12-006/1, Tinbergen Institute.
    46. J. M. Alonso-Meijide & M. Álvarez-Mozos & M. G. Fiestras-Janeiro & A. Jiménez-Losada, 2022. "On convexity in cooperative games with externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(1), pages 265-292, July.

  29. Rene van den Brink & Youngsub Chun, 2010. "Balanced Consistency and Balanced Cost Reduction for Sequencing Problems," Tinbergen Institute Discussion Papers 10-035/1, Tinbergen Institute.

    Cited by:

    1. Ju, Yuan & Chun, Youngsub & van den Brink, René, 2014. "Auctioning and selling positions: A non-cooperative approach to queueing conflicts," Journal of Economic Theory, Elsevier, vol. 153(C), pages 33-45.
    2. Rene van den Brink & Youngsub Chun & Yukihiko Funaki & Zhengxing Zou, 2021. "Balanced Externalities and the Proportional Allocation of Nonseparable Contributions," Tinbergen Institute Discussion Papers 21-024/II, Tinbergen Institute.
    3. Youngsub Chun & Manipushpak Mitra & Suresh Mutuswami, 2019. "Recent developments in the queueing problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(1), pages 1-23, April.
    4. Yokote, Koji & Kongo, Takumi & Funaki, Yukihiko, 2018. "The balanced contributions property for equal contributors," Games and Economic Behavior, Elsevier, vol. 108(C), pages 113-124.
    5. van den Brink, René & Chun, Youngsub & Funaki, Yukihiko & Zou, Zhengxing, 2023. "Balanced externalities and the proportional allocation of nonseparable contributions," European Journal of Operational Research, Elsevier, vol. 307(2), pages 975-983.

  30. Rene van den Brink & Ilya Katsev & Gerard van der Laan, 2009. "Axiomatizations of Two Types of Shapley Values for Games on Union Closed Systems," Tinbergen Institute Discussion Papers 09-064/1, Tinbergen Institute.

    Cited by:

    1. Sylvain Béal & Marc Deschamps & Mostapha Diss & Rodrigue Tido Takeng, 2024. "Cooperative games with diversity constraints," Working Papers 2024-06, CRESE.
    2. Sylvain Béal & André Casajus & Eric Rémila & Philippe Solal, 2021. "Cohesive efficiency in TU-games: axiomatizations of variants of the Shapley value, egalitarian values and their convex combinations," Annals of Operations Research, Springer, vol. 302(1), pages 23-47, July.
    3. Ulrich Faigle & Michel Grabisch, 2012. "Values for Markovian coalition processes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(3), pages 505-538, November.
    4. van den Brink, R. & van der Laan, G. & Herings, P.J.J. & Talman, A.J.J., 2015. "The Average Tree permission value for games with a permission tree," Other publications TiSEM 97042492-4b03-4e72-b88d-d, Tilburg University, School of Economics and Management.
    5. van den Brink, R. & Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2013. "The Average Tree Permission Value for Games with a Permission Tree," Other publications TiSEM 7f82484a-b6d8-4d2e-90cb-8, Tilburg University, School of Economics and Management.
    6. Sylvain Béal & Issofa Moyouwou & Eric Rémila & Phillippe Solal, 2018. "Cooperative games on intersection closed systems and the Shapley value," Working Papers 2018-06, CRESE.
    7. Sylvain Béal & Eric Rémila & Philippe Solal, 2015. "Characterization of the Average Tree solution and its kernel," Post-Print halshs-01212115, HAL.
    8. Sylvain Béal & André Casajus & Eric Rémila & Philippe Solal, 2019. "Cohesive efficiency in TU-games: Two extensions of the Shapley value," Working Papers 2019-03, CRESE.
    9. Encarnacion Algaba & Rene van den Brink, 2021. "Networks, Communication and Hierarchy: Applications to Cooperative Games," Tinbergen Institute Discussion Papers 21-019/IV, Tinbergen Institute.
    10. René Brink & Chris Dietz & Gerard Laan & Genjiu Xu, 2017. "Comparable characterizations of four solutions for permission tree games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(4), pages 903-923, April.
    11. Julia Belau, 2013. "An outside-option-sensitive allocation rule for networks: the kappa-value," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 175-188, November.
    12. van den Brink, J.R. & Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2013. "The average tree permission value for games with a permission tree," Research Memorandum 001, Maastricht University, Graduate School of Business and Economics (GSBE).
    13. Richard Baron & Sylvain Béal & Éric Rémila & Philippe Solal, 2011. "Average Tree Solutions and the Distribution of Harsanyi Dividends," Post-Print halshs-00674425, HAL.
    14. Rene van den Brink & Ilya Katsev & Gerard van der Laan, 2023. "Properties of Solutions for Games on Union-Closed Systems," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
    15. René van den Brink, 2017. "Games with a Permission Structure: a survey on generalizations and applications," Tinbergen Institute Discussion Papers 17-016/II, Tinbergen Institute.
    16. E. Algaba & J. Bilbao & R. Brink, 2015. "Harsanyi power solutions for games on union stable systems," Annals of Operations Research, Springer, vol. 225(1), pages 27-44, February.
    17. René Brink, 2017. "Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 1-33, April.
    18. Emilio Calvo & Esther Gutiérrez-López, 2015. "The value in games with restricted cooperation," Discussion Papers in Economic Behaviour 0115, University of Valencia, ERI-CES.
    19. Derks, Jean, 2018. "The Shapley value of conjunctive-restricted games," Games and Economic Behavior, Elsevier, vol. 108(C), pages 146-151.
    20. Encarnacion Algaba & Rene van den Brink, 2019. "The Shapley Value and Games with Hierarchies," Tinbergen Institute Discussion Papers 19-064/II, Tinbergen Institute.
    21. Zhengxing Zou & Qiang Zhang, 2018. "Harsanyi power solution for games with restricted cooperation," Journal of Combinatorial Optimization, Springer, vol. 35(1), pages 26-47, January.

  31. Rene van den Brink, 2009. "Efficiency and Collusion Neutrality of Solutions for Cooperative TU-Games," Tinbergen Institute Discussion Papers 09-065/1, Tinbergen Institute.

    Cited by:

    1. Koji Yokote & Takumi Kongo & Yukihiko Funaki, 2019. "Relationally equal treatment of equals and affine combinations of values for TU games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(2), pages 197-212, August.
    2. Takumi Kongo, 2018. "Effects of Players’ Nullification and Equal (Surplus) Division Values," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(01), pages 1-14, March.
    3. Sylvain Béal & André Casajus & Frank Huettner & Eric Rémila & Philippe Solal, 2016. "Characterizations of weighted and equal division values," Theory and Decision, Springer, vol. 80(4), pages 649-667, April.
    4. Li, Wenzhong & Xu, Genjiu & van den Brink, René, 2024. "Sign properties and axiomatizations of the weighted division values," Journal of Mathematical Economics, Elsevier, vol. 112(C).
    5. Aymeric Lardon, 2012. "The γ-core in Cournot oligopoly TU-games with capacity constraints," Post-Print halshs-01071838, HAL.

  32. René van den Brink, 2009. "Comparable Axiomatizations of the Myerson Value, the Restricted Banzhaf Value, Hierarchical Outcomes and the Average Tree Solution for Cycle-Free Graph Restricted Games," Tinbergen Institute Discussion Papers 09-108/1, Tinbergen Institute.

    Cited by:

    1. Sylvain Béal & Eric Rémila & Philippe Solal, 2015. "Characterization of the Average Tree solution and its kernel," Post-Print halshs-01212115, HAL.
    2. Özer Selçuk & Takamasa Suzuki, 2023. "Comparable axiomatizations of the average tree solution and the Myerson value," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(2), pages 333-362, June.

  33. Rene van der Brink & Agnieszka Rusinowska & Frank Steffen, 2009. "Measuring Power and Satisfaction in Societies with Opinion Leaders: Properties of the Qualified Majority Case," Working Papers 0901, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.

    Cited by:

    1. Michel Grabisch & Agnieszka Rusinowska, 2010. "A model of influence with an ordered set of possible actions," Theory and Decision, Springer, vol. 69(4), pages 635-656, October.
    2. Michel Grabisch & Agnieszka Rusinowska, 2010. "Different Approaches to Influence Based on Social Networks and Simple Games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00514850, HAL.

  34. René van den Brink & Frank Steffen, 2008. "Axiomatizations of a Positional Power Score and Measure for Hierarchies," Tinbergen Institute Discussion Papers 08-115/1, Tinbergen Institute.

    Cited by:

    1. Sarkar, Sandip & Dash, Bharatee Bhusana, 2023. "On the measurement of electoral volatility," Mathematical Social Sciences, Elsevier, vol. 126(C), pages 119-128.
    2. Simon Schopohl, 2017. "Information Transmission in Hierarchies," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01491930, HAL.
    3. Simon Schopohl, 2017. "Information Transmission in Hierarchies," Post-Print halshs-01491930, HAL.
    4. Simon Schopohl, 2017. "Information Transmission in Hierarchies," Documents de travail du Centre d'Economie de la Sorbonne 17014, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    5. René van den Brink & Frank Steffen, 2012. "On the Measurement of Success and Satisfaction," Tinbergen Institute Discussion Papers 12-030/1, Tinbergen Institute.
    6. Yucel, Eray & Tokel, Emre, 2010. "Fibonacci Hierarchies for Decision Making," MPRA Paper 20973, University Library of Munich, Germany.

  35. Rene van den Brink & Yukihiko Funaki & Gerard van der Laan, 2008. "The Reverse Talmud Rule for Bankruptcy Problems," Tinbergen Institute Discussion Papers 08-026/1, Tinbergen Institute, revised 27 Mar 2008.

    Cited by:

    1. Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Osterdal, 2012. "Rationing in the presence of baselines," Working Papers 12.04, Universidad Pablo de Olavide, Department of Economics.

  36. van den Brink, J.R. & Ruys, P.H.M., 2008. "Technology driven organizational structure of the firm," Other publications TiSEM 417827ae-0c53-4d1e-8f55-1, Tilburg University, School of Economics and Management.

    Cited by:

    1. Chakrabarti, Subhadip & Ghintran, Amandine, 2013. "Assignment of Heterogeneous Agents in Trees under the Permission Value," MPRA Paper 49115, University Library of Munich, Germany.
    2. Pieter H.M. RUYS, 2014. "Architecture of an Economy with Social Enterprises: the Relational Capacity Approach," CIRIEC Working Papers 1413, CIRIEC - Université de Liège.
    3. Tobias Hiller, 2021. "Hierarchy and the size of a firm," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 68(3), pages 389-404, September.
    4. René Brink, 2017. "Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 1-33, April.
    5. Rene van den Brink & Chris Dietz, 2012. "Games with a Local Permission Structure: Separation of Authority and Value Generation," Tinbergen Institute Discussion Papers 12-126/II, Tinbergen Institute.

  37. van den Brink, J.R. & Borm, P.E.M. & Hendrickx, R.L.P. & Owen, G., 2008. "Characterizations of the beta- and the degree network power measure," Other publications TiSEM 101ef139-cc05-4b30-bef5-1, Tilburg University, School of Economics and Management.

    Cited by:

    1. Maria Carmela Schisani & Luigi Balletta & Giancarlo Ragozini, 2021. "Crowding out the change: business networks and persisting economic elites in the South of Italy over Unification (1840–1880)," Cliometrica, Journal of Historical Economics and Econometric History, Association Française de Cliométrie (AFC), vol. 15(1), pages 89-131, January.
    2. Maria Carmela Schisani & Luigi Balletta & Giancarlo Ragozini, 2021. "Crowding out the change: business networks and persisting economic elites in the South of Italy over Unification (1840–1880)," Cliometrica, Springer;Cliometric Society (Association Francaise de Cliométrie), vol. 15(1), pages 89-131, January.
    3. Zhiwei Cui & Yan-An Hwang & Ding-Cheng You, 2021. "Axiomatizations of the $$\beta $$ β and the score measures in networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(2), pages 399-418, June.

  38. Enrique González-Arangüena & Conrado Manuel & Daniel Gomez & René van den Brink, 2008. "A Value for Directed Communication Situations," Tinbergen Institute Discussion Papers 08-006/1, Tinbergen Institute.

    Cited by:

    1. Julia Belau, 2013. "An outside-option-sensitive allocation rule for networks: the kappa-value," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 175-188, November.

  39. René van den Brink & Ilya Katsev & Gerard van der Laan, 2008. "Computation of the Nucleolus for a Class of Disjunctive Games with a Permission Structure," Tinbergen Institute Discussion Papers 08-060/1, Tinbergen Institute.

    Cited by:

    1. René van den Brink & Ilya Katsev & Gerard van der Laan, 2008. "An Algorithm for Computing the Nucleolus of Disjunctive Additive Games with An Acyclic Permission Structure," Tinbergen Institute Discussion Papers 08-104/1, Tinbergen Institute.
    2. van den Brink, René & Katsev, Ilya & van der Laan, Gerard, 2010. "An algorithm for computing the nucleolus of disjunctive non-negative additive games with an acyclic permission structure," European Journal of Operational Research, Elsevier, vol. 207(2), pages 817-826, December.

  40. René van den Brink, 2006. "On Hierarchies and Communication," Tinbergen Institute Discussion Papers 06-056/1, Tinbergen Institute.

    Cited by:

    1. M. Josune Albizuri & Satoshi Masuya & José M. Zarzuelo, 2022. "Characterization of a value for games under restricted cooperation," Annals of Operations Research, Springer, vol. 318(2), pages 773-785, November.
    2. Michel Grabisch, 2013. "The core of games on ordered structures and graphs," Post-Print hal-00803233, HAL.
    3. Encarnacion Algaba & Rene van den Brink, 2021. "Networks, Communication and Hierarchy: Applications to Cooperative Games," Tinbergen Institute Discussion Papers 21-019/IV, Tinbergen Institute.
    4. Encarnacion Algaba & Sylvain Béal & Eric Rémila & Philippe Solal, 2019. "Harsanyi power solutions for cooperative games on voting structures," Post-Print halshs-02409438, HAL.
    5. René Brink, 2017. "Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 1-33, April.
    6. Sylvain Béal & Sylvain Ferrière, 2019. "Examination design: an axiomatic approach," Working Papers 2019-05, CRESE.

  41. René van den Brink & Peter Borm & Ruud Hendrickx & Guillermo Owen, 2005. "Characterizations of Network Power Measures," Tinbergen Institute Discussion Papers 05-061/1, Tinbergen Institute.

    Cited by:

    1. Hendrickx, R.L.P. & Borm, P.E.M. & van den Brink, J.R. & Owen, G., 2005. "The V L Value for Network Games," Other publications TiSEM cd04bb7c-a05b-4877-986d-e, Tilburg University, School of Economics and Management.

  42. Rene van den Brink & Pieter H.M. Ruys, 2005. "Positional Wages, Market Wages and Firm Size," Tinbergen Institute Discussion Papers 05-020/1, Tinbergen Institute.

    Cited by:

    1. Ruys, P.H.M., 2005. "The Governance of Services," Other publications TiSEM bcf108dc-df19-4639-9d25-e, Tilburg University, School of Economics and Management.
    2. Ruys, P.H.M., 2005. "The Governance of Services," Other publications TiSEM 7bbd8514-cbab-4a89-9136-6, Tilburg University, School of Economics and Management.

  43. René van den Brink & Gerard van der Laan & Vitaly Pruzhansky, 2004. "Harsanyi Power Solutions for Graph-restricted Games," Tinbergen Institute Discussion Papers 04-095/1, Tinbergen Institute.

    Cited by:

    1. Fabien Lange & Michel Grabisch, 2006. "Values on regular games under Kirchhoff's laws," Cahiers de la Maison des Sciences Economiques b06087, Université Panthéon-Sorbonne (Paris 1).
    2. Sylvain Béal & Éric Rémila & Philippe Solal, 2012. "Weighted component fairness for forest games," Post-Print halshs-00678832, HAL.
    3. Zhang, Guang, 2018. "Allocation rules for cooperative games with graph and hypergraph communication structure," Other publications TiSEM 10431594-5325-4503-bdb0-0, Tilburg University, School of Economics and Management.
    4. Khmelnitskaya, A. & van der Laan, G. & Talman, Dolf, 2016. "Centrality Rewarding Shapley and Myerson Values for Undirected Graph Games," Other publications TiSEM f449b907-5e19-4702-b48e-a, Tilburg University, School of Economics and Management.
    5. Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2005. "The component fairness solution for cycle-free graph games," Research Memorandum 057, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    6. Encarnacion Algaba & Rene van den Brink, 2021. "Networks, Communication and Hierarchy: Applications to Cooperative Games," Tinbergen Institute Discussion Papers 21-019/IV, Tinbergen Institute.
    7. Anna Khmelnitskaya & Gerard van der Laan & Dolf Talman, 2016. "Centrality Rewarding Shapley and Myerson Values for Undirected Graph Games," Tinbergen Institute Discussion Papers 16-070/II, Tinbergen Institute.
    8. Selçuk, O., 2014. "Structural restrictions in cooperation," Other publications TiSEM 0da8d0d3-08c2-4f86-92a1-3, Tilburg University, School of Economics and Management.
    9. Sylvain Béal & Sylvain Ferrières & Eric Rémila & Phillippe Solal, 2016. "The proportional Shapley value and an application," Working Papers 2016-08, CRESE.
    10. Talman, A.J.J. & Yamamoto, Y., 2007. "Games With Limited Communication Structure," Discussion Paper 2007-19, Tilburg University, Center for Economic Research.
    11. Kamijo, Yoshio, 2009. "A linear proportional effort allocation rule," Mathematical Social Sciences, Elsevier, vol. 58(3), pages 341-353, November.
    12. Thomas Demuynck & Bram De Rock & Victor Ginsburgh, 2015. "The Transfer Paradox in Welfare Space," Working Papers ECARES ECARES 2015-01, ULB -- Universite Libre de Bruxelles.
    13. Belau, Julia, 2016. "Outside option values for network games," Mathematical Social Sciences, Elsevier, vol. 84(C), pages 76-86.
    14. Herings, P.J.J. & van der Laan, G. & Talman, A.J.J. & Yang, Z., 2008. "The average tree solution for cooperative games with communication structure," Research Memorandum 026, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    15. Encarnacion Algaba & Sylvain Béal & Eric Rémila & Philippe Solal, 2019. "Harsanyi power solutions for cooperative games on voting structures," Post-Print halshs-02409438, HAL.
    16. C. Manuel & E. Ortega & M. del Pozo, 2023. "Marginality and the position value," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(2), pages 459-474, July.
    17. Suzuki, T. & Talman, A.J.J., 2011. "Solution Concepts for Cooperative Games with Circular Communication Structure," Other publications TiSEM d863606f-a58a-4f92-894d-e, Tilburg University, School of Economics and Management.
    18. Shi, Jilei & Shan, Erfang, 2020. "Weighted component-wise solutions for graph games," Economics Letters, Elsevier, vol. 192(C).
    19. Pierre Dehez, 2017. "On Harsanyi Dividends and Asymmetric Values," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 1-36, September.
    20. Herings, P.J.J. & van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2010. "The average tree solution for cooperative games with communication structure," Other publications TiSEM 24359ac5-6399-42ee-8f0b-7, Tilburg University, School of Economics and Management.
    21. Rene van den Brink & Ilya Katsev & Gerard van der Laan, 2023. "Properties of Solutions for Games on Union-Closed Systems," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
    22. Heinz, S. & Krumke, S.O. & Megow, N. & Rambau, J. & Tuscherer, A. & Vredeveld, T., 2005. "The online target date assignment problem," Research Memorandum 056, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    23. E. Algaba & J. Bilbao & R. Brink, 2015. "Harsanyi power solutions for games on union stable systems," Annals of Operations Research, Springer, vol. 225(1), pages 27-44, February.
    24. Elena C. Gavilán & Conrado M. Manuel & René Van Den Brink, 2022. "A Family of Position Values for Directed Communication Situations," Mathematics, MDPI, vol. 10(8), pages 1-19, April.
    25. Herings, P. Jean Jacques & van der Laan, Gerard & Talman, Dolf, 2008. "The average tree solution for cycle-free graph games," Games and Economic Behavior, Elsevier, vol. 62(1), pages 77-92, January.
    26. Özer Selçuk & Takamasa Suzuki, 2023. "Comparable axiomatizations of the average tree solution and the Myerson value," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(2), pages 333-362, June.
    27. Encarnacion Algaba & Rene van den Brink, 2019. "The Shapley Value and Games with Hierarchies," Tinbergen Institute Discussion Papers 19-064/II, Tinbergen Institute.
    28. Encarnacion Algaba & Jesus Mario Bilbao & Rene van den Brink & Jorge J. Lopez, 2011. "The Myerson Value and Superfluous Supports in Union Stable Systems," Tinbergen Institute Discussion Papers 11-127/1, Tinbergen Institute.
    29. Napel, Stefan & Nohn, Andreas & Alonso-Meijide, José Maria, 2012. "Monotonicity of power in weighted voting games with restricted communication," Mathematical Social Sciences, Elsevier, vol. 64(3), pages 247-257.
    30. Suzuki, T. & Talman, A.J.J., 2011. "Solution Concepts for Cooperative Games with Circular Communication Structure," Discussion Paper 2011-100, Tilburg University, Center for Economic Research.
    31. E. Algaba & J. M. Bilbao & R. Brink & J. J. López, 2012. "The Myerson Value and Superfluous Supports in Union Stable Systems," Journal of Optimization Theory and Applications, Springer, vol. 155(2), pages 650-668, November.
    32. Zhengxing Zou & Qiang Zhang, 2018. "Harsanyi power solution for games with restricted cooperation," Journal of Combinatorial Optimization, Springer, vol. 35(1), pages 26-47, January.

  44. René van den Brink & Gerard van der Laan & Valeri Vasil'ev, 2004. "On the Extreme Points of Two Polytopes associated with a Digraph and Applications to Cooperative Games," Tinbergen Institute Discussion Papers 04-069/1, Tinbergen Institute.

    Cited by:

    1. René van den Brink & Gerard van der Laan & Valeri Vasil'ev, 2007. "Distributing Dividends in Games with Ordered Players," Tinbergen Institute Discussion Papers 06-114/1, Tinbergen Institute.

  45. René van den Brink & Yukihiko Funaki, 2004. "Axiomatizations of a Class of Equal Surplus Sharing Solutions for Cooperative Games with Transferable Utility," Tinbergen Institute Discussion Papers 04-136/1, Tinbergen Institute.

    Cited by:

    1. Yuan Ju & David Wettstein, 2006. "Implementing Cooperative Solution Concepts: a Generalized Bidding Approach," Keele Economics Research Papers KERP 2006/06, Centre for Economic Research, Keele University.
    2. Yuan Ju & Peter Borm & Pieter Ruys, 2007. "The consensus value: a new solution concept for cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(4), pages 685-703, June.
    3. René van den Brink & Yukihiko Funaki & Yuan Ju, 2007. "Consistency, Monotonicity and Implementation of Egalitarian Shapley Values," Tinbergen Institute Discussion Papers 07-062/1, Tinbergen Institute.

  46. René van den Brink & Gerard van der Laan & Valeri Vasil'ev, 2003. "Harsanyi Solutions in Line-graph Games," Tinbergen Institute Discussion Papers 03-076/1, Tinbergen Institute.

    Cited by:

    1. Lei Li & Xueliang Li, 2011. "The covering values for acyclic digraph games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(4), pages 697-718, November.

  47. E. Algaba & J.M. Bilbao & R. van den Brink & A. Jiménez-Losada, 2002. "An Axiomatization of the Banzhaf Value for Cooperative Games on Antimatroids," Tinbergen Institute Discussion Papers 02-110/1, Tinbergen Institute.

    Cited by:

    1. Kamijo, Yoshio & Kongo, Takumi, 2012. "Whose deletion does not affect your payoff? The difference between the Shapley value, the egalitarian value, the solidarity value, and the Banzhaf value," European Journal of Operational Research, Elsevier, vol. 216(3), pages 638-646.
    2. Conrado M. Manuel & Daniel Martín, 2021. "A Monotonic Weighted Banzhaf Value for Voting Games," Mathematics, MDPI, vol. 9(12), pages 1-23, June.
    3. Matthew Ryan, 2010. "Mixture sets on finite domains," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 33(2), pages 139-147, November.
    4. René Brink, 2010. "Axiomatizations of Banzhaf permission values for games with a permission structure," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(3), pages 445-466, July.
    5. Sylvain Béal & Éric Rémila & Philippe Solal, 2015. "Decomposition of the space of TU-games, Strong Transfer Invariance and the Banzhaf value," Post-Print halshs-01097165, HAL.
    6. Rene van den Brink & Chris Dietz, 2012. "Games with a Local Permission Structure: Separation of Authority and Value Generation," Tinbergen Institute Discussion Papers 12-126/II, Tinbergen Institute.

  48. Borm, P.E.M. & van den Brink, J.R. & Slikker, M., 2002. "An iterative procedure for evaluating digraph competitions," Other publications TiSEM 40ae2ec2-efdb-48f6-905c-5, Tilburg University, School of Economics and Management.

    Cited by:

    1. Manuel Foerster & Michel Grabisch & Agnieszka Rusinowska, 2013. "Anonymous social influence," PSE-Ecole d'économie de Paris (Postprint) halshs-00913235, HAL.
    2. Robert P. Gilles & Lina Mallozzi, 2022. "Gately Values of Cooperative Games," Papers 2208.10189, arXiv.org, revised Jul 2023.
    3. Manuel Förster & Michel Grabisch & Agnieszka Rusinowska, 2012. "Ordered Weighted Averaging in Social Networks," Post-Print halshs-00746988, HAL.
    4. Michel Grabisch & Agnieszka Rusinowska, 2011. "A model of influence with a continuum of actions," Post-Print hal-00666821, HAL.
    5. Borm, Peter & van den Brink, Rene & Levinsky, Rene & Slikker, Marco, 2004. "On two new social choice correspondences," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 51-68, January.
    6. P. Jean-Jacques Herings & Gerard van der Laan & Dolf Talman, 2001. "Measuring the Power of Nodes in Digraphs," Tinbergen Institute Discussion Papers 01-096/1, Tinbergen Institute.
    7. Marco Slikker & Peter Borm & René Brink, 2012. "Internal slackening scoring methods," Theory and Decision, Springer, vol. 72(4), pages 445-462, April.
    8. Encarnación Algaba & René Brink & Chris Dietz, 2017. "Power Measures and Solutions for Games Under Precedence Constraints," Journal of Optimization Theory and Applications, Springer, vol. 172(3), pages 1008-1022, March.
    9. Yuan Ju & Peter Borm & Pieter Ruys, 2007. "The consensus value: a new solution concept for cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(4), pages 685-703, June.
    10. van den Brink, J.R. & Borm, P.E.M. & Hendrickx, R.L.P. & Owen, G., 2008. "Characterizations of the beta- and the degree network power measure," Other publications TiSEM 101ef139-cc05-4b30-bef5-1, Tilburg University, School of Economics and Management.
    11. René van den Brink & Peter Borm & Ruud Hendrickx & Guillermo Owen, 2005. "Characterizations of Network Power Measures," Tinbergen Institute Discussion Papers 05-061/1, Tinbergen Institute.
    12. László Csató, 2015. "A graph interpretation of the least squares ranking method," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(1), pages 51-69, January.
    13. Quant, M. & Borm, P.E.M. & Reijnierse, J.H. & Voorneveld, M., 2002. "Characterizations of Solutions in Digraph Competitions," Discussion Paper 2002-113, Tilburg University, Center for Economic Research.
    14. Encarnacion Algaba & René van den Brink & Chris Dietz, 2015. "Power Measures and Solutions for Games under Precedence Constraints," Tinbergen Institute Discussion Papers 15-007/II, Tinbergen Institute.
    15. René Brink & Peter Borm & Ruud Hendrickx & Guillermo Owen, 2008. "Characterizations of the β- and the Degree Network Power Measure," Theory and Decision, Springer, vol. 64(4), pages 519-536, June.
    16. Mitri Kitti, 2016. "Axioms for centrality scoring with principal eigenvectors," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(3), pages 639-653, March.
    17. Quant, M. & Borm, P.E.M. & Reijnierse, J.H. & Voorneveld, M., 2006. "On the Beta measure for digraph competitions," Other publications TiSEM 214590f7-5605-42d6-8353-6, Tilburg University, School of Economics and Management.
    18. Mitri Kitti, 2012. "Axioms for Centrality Scoring with Principal Eigenvectors," Discussion Papers 79, Aboa Centre for Economics.
    19. Gilles, Robert P. & Mallozzi, Lina, 2022. "Generalised Gately Values of Cooperative Games," QBS Working Paper Series 2022/06, Queen's University Belfast, Queen's Business School.

  49. René van den Brink & Gerard van der Laan, 2001. "A Class of Consistent Share Functions for Games in Coalition Structure," Tinbergen Institute Discussion Papers 01-044/1, Tinbergen Institute.

    Cited by:

    1. Nicolas Andjiga & Sebastien Courtin, 2015. "Coalition configurations and share functions," Annals of Operations Research, Springer, vol. 225(1), pages 3-25, February.
    2. Rene van den Brink & Anna Khmelnitskaya & Gerard van der Laan, 2011. "An Owen-Type Value for Games with Two-Level Communication Structures," Tinbergen Institute Discussion Papers 11-089/1, Tinbergen Institute.
    3. van der Laan, G. & van den Brink, J.R., 1998. "A Banzhaf share function for cooperative games in coalition structure," Other publications TiSEM ee0f55cf-8290-4960-9661-5, Tilburg University, School of Economics and Management.
    4. Michel Grabisch, 2013. "The core of games on ordered structures and graphs," Post-Print hal-00803233, HAL.
    5. Farrokhi, Mahmoud, 2011. "Coalition formation in the Airport Problem," Center for Mathematical Economics Working Papers 416, Center for Mathematical Economics, Bielefeld University.
    6. Sébastien Courtin, 2011. "Power in the European Union: an evaluation according to a priori relations between states," Economics Bulletin, AccessEcon, vol. 31(1), pages 534-545.
    7. Nicolas G. Andjiga & Sébastien Courtin, 2015. "Coalition configurations and share functions," Post-Print hal-00914883, HAL.
    8. Mikel Alvarez-Mozos & Rene van den Brink & Gerard van der Laan & Oriol Tejada, 2012. "Share Functions for Cooperative Games with Levels Structure of Cooperation," Tinbergen Institute Discussion Papers 12-052/1, Tinbergen Institute.
    9. Kongo, Takumi, 2011. "Value of games with two-layered hypergraphs," Mathematical Social Sciences, Elsevier, vol. 62(2), pages 114-119, September.
    10. Yoshio Kamijo, 2013. "The collective value: a new solution for games with coalition structures," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(3), pages 572-589, October.
    11. Rene van den Brink & Gerard van der Laan & Nigel Moes, 2011. "Two Values for Transferable Utility Games with Coalition and Graph Structure," Tinbergen Institute Discussion Papers 11-164/1, Tinbergen Institute.
    12. Gerard van der Laan & René van den Brink, 2002. "A Banzhaf share function for cooperative games in coalition structure," Theory and Decision, Springer, vol. 53(1), pages 61-86, August.
    13. Marcin Malawski, 2004. "‘‘Counting’’ power indices for games with a priori unions," Theory and Decision, Springer, vol. 56(1), pages 125-140, April.

  50. Algaba, A. & Bilbao, J.M. & van den Brink, J.R. & Jiménez-Losada, A., 2001. "Axiomatizations of the Shapley Value for Cooperative Games on Antimatroids," Discussion Paper 2001-99, Tilburg University, Center for Economic Research.

    Cited by:

    1. M. Josune Albizuri & Satoshi Masuya & José M. Zarzuelo, 2022. "Characterization of a value for games under restricted cooperation," Annals of Operations Research, Springer, vol. 318(2), pages 773-785, November.
    2. Meng, Fanyong & Chen, Xiaohong & Zhang, Qiang, 2015. "A coalitional value for games on convex geometries with a coalition structure," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 605-614.
    3. Selcuk, O. & Talman, A.J.J., 2013. "Games With General Coalitional Structure," Other publications TiSEM 8d356e38-cdce-41e0-b3dd-a, Tilburg University, School of Economics and Management.
    4. Encarnacion Algaba & Rene van den Brink, 2021. "Networks, Communication and Hierarchy: Applications to Cooperative Games," Tinbergen Institute Discussion Papers 21-019/IV, Tinbergen Institute.
    5. Matthew Ryan, 2010. "Mixture sets on finite domains," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 33(2), pages 139-147, November.
    6. C. Manuel & E. González-Arangüena & R. Brink, 2013. "Players indifferent to cooperate and characterizations of the Shapley value," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 77(1), pages 1-14, February.
    7. Encarnación Algaba & René Brink & Chris Dietz, 2017. "Power Measures and Solutions for Games Under Precedence Constraints," Journal of Optimization Theory and Applications, Springer, vol. 172(3), pages 1008-1022, March.
    8. Navarro, Florian, 2020. "The center value: A sharing rule for cooperative games on acyclic graphs," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 1-13.
    9. Tobias Hiller, 2021. "Hierarchy and the size of a firm," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 68(3), pages 389-404, September.
    10. Guangming Wang & Zeguang Cui & Erfang Shan, 2022. "An Axiomatization of the Value α for Games Restricted by Augmenting Systems," Mathematics, MDPI, vol. 10(15), pages 1-9, August.
    11. René Brink & Ilya Katsev & Gerard Laan, 2011. "Axiomatizations of two types of Shapley values for games on union closed systems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(1), pages 175-188, May.
    12. Kishimoto, Shin & Watanabe, Naoki, 2017. "The kernel of a patent licensing game: The optimal number of licensees," Mathematical Social Sciences, Elsevier, vol. 86(C), pages 37-50.
    13. van den Brink, René & González-Arangüena, Enrique & Manuel, Conrado & del Pozo, Mónica, 2014. "Order monotonic solutions for generalized characteristic functions," European Journal of Operational Research, Elsevier, vol. 238(3), pages 786-796.
    14. Rene van den Brink & Ilya Katsev & Gerard van der Laan, 2023. "Properties of Solutions for Games on Union-Closed Systems," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
    15. Selcuk, O. & Talman, A.J.J., 2013. "Games With General Coalitional Structure," Discussion Paper 2013-002, Tilburg University, Center for Economic Research.
    16. van den Brink, René & He, Simin & Huang, Jia-Ping, 2018. "Polluted river problems and games with a permission structure," Games and Economic Behavior, Elsevier, vol. 108(C), pages 182-205.
    17. René van den Brink, 2006. "On Hierarchies and Communication," Tinbergen Institute Discussion Papers 06-056/1, Tinbergen Institute.
    18. Frank Huettner & Harald Wiese, 2016. "The Need for Permission, the Power to Enforce, and Duality in Cooperative Games with a Hierarchy," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 1-12, December.
    19. Emilio Calvo & Esther Gutiérrez-López, 2015. "The value in games with restricted cooperation," Discussion Papers in Economic Behaviour 0115, University of Valencia, ERI-CES.
    20. Encarnacion Algaba & Rene van den Brink, 2019. "The Shapley Value and Games with Hierarchies," Tinbergen Institute Discussion Papers 19-064/II, Tinbergen Institute.
    21. Encarnación Algaba & René Brink & Chris Dietz, 2018. "Network Structures with Hierarchy and Communication," Journal of Optimization Theory and Applications, Springer, vol. 179(1), pages 265-282, October.
    22. Rene van den Brink & Chris Dietz, 2012. "Games with a Local Permission Structure: Separation of Authority and Value Generation," Tinbergen Institute Discussion Papers 12-126/II, Tinbergen Institute.
    23. Zhengxing Zou & Qiang Zhang, 2018. "Harsanyi power solution for games with restricted cooperation," Journal of Combinatorial Optimization, Springer, vol. 35(1), pages 26-47, January.

  51. Borm, P.E.M. & van den Brink, J.R. & Levinsky, R. & Slikker, M., 2000. "On Two New Social Choice Correspondences," Discussion Paper 2000-125, Tilburg University, Center for Economic Research.

    Cited by:

    1. van den Brink, J.R. & Borm, P.E.M., 1994. "Digraph competitions and cooperative games," Discussion Paper 1994-24, Tilburg University, Center for Economic Research.
    2. Marco Slikker & Peter Borm & René Brink, 2012. "Internal slackening scoring methods," Theory and Decision, Springer, vol. 72(4), pages 445-462, April.
    3. Quant, M. & Borm, P.E.M. & Reijnierse, J.H. & Voorneveld, M., 2003. "On a Compromise Social Choice Correspondence," Discussion Paper 2003-29, Tilburg University, Center for Economic Research.
    4. Marieke Quant & Peter Borm & Hans Reijnierse & Mark Voorneveld, 2006. "A note on theβ-measure for digraph competitions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 14(1), pages 167-176, June.
    5. Ayllon Aragon, Grisel, 2013. "On Weak Condorcet Winners: Existence and Uniqueness," MPRA Paper 53272, University Library of Munich, Germany.
    6. Quant, M. & Borm, P.E.M. & Reijnierse, J.H. & Voorneveld, M., 2002. "Characterizations of Solutions in Digraph Competitions," Discussion Paper 2002-113, Tilburg University, Center for Economic Research.
    7. Quant, M. & Borm, P.E.M. & Reijnierse, J.H. & Voorneveld, M., 2006. "On the Beta measure for digraph competitions," Other publications TiSEM 214590f7-5605-42d6-8353-6, Tilburg University, School of Economics and Management.

  52. Algaba, A. & Bilbao, J.M. & van den Brink, J.R. & Jiménez-Losada, A., 2000. "Cooperative Games on Antimatroids," Discussion Paper 2000-124, Tilburg University, Center for Economic Research.

    Cited by:

    1. Matthew Ryan, 2010. "Mixture sets on finite domains," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 33(2), pages 139-147, November.
    2. Koshevoy, G.A. & Suzuki, T. & Talman, A.J.J., 2013. "Solutions For Games With General Coalitional Structure And Choice Sets," Discussion Paper 2013-012, Tilburg University, Center for Economic Research.
    3. Daniel Li Li & Erfang Shan, 2021. "Cooperative games with partial information," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 297-309, March.
    4. Koshevoy, G.A. & Suzuki, T. & Talman, A.J.J., 2013. "Solutions For Games With General Coalitional Structure And Choice Sets," Other publications TiSEM a831011f-430e-4e82-b6f6-5, Tilburg University, School of Economics and Management.

  53. van den Brink, J.R., 1999. "An Axiomatization of the Shapley Value Using a Fairness Property," Discussion Paper 1999-120, Tilburg University, Center for Economic Research.

    Cited by:

    1. Paolo Di Giannatale, Francesco Passarelli, 2011. "Voting Chances Instead of Voting Weights," ISLA Working Papers 40, ISLA, Centre for research on Latin American Studies and Transition Economies, Universita' Bocconi, Milano, Italy.
    2. Michela Chessa & Nobuyuki Hanaki & Aymeric Lardon & Takashi Yamada, 2023. "An experiment on the Nash program: A comparison of two strategic mechanisms implementing the Shapley value," Post-Print hal-04194465, HAL.
    3. László Á. Kóczy & Miklós Pintér, 2011. "The men who weren't even there: Legislative voting with absentees," Working Paper Series 1104, Óbuda University, Keleti Faculty of Business and Management.
    4. René van den Brink & Frank Steffen, 2008. "Axiomatizations of a Positional Power Score and Measure for Hierarchies," Tinbergen Institute Discussion Papers 08-115/1, Tinbergen Institute.
    5. Jan Bok & Martin Černý, 2024. "1-convex extensions of incomplete cooperative games and the average value," Theory and Decision, Springer, vol. 96(2), pages 239-268, March.
    6. Sylvain Béal & Mostapha Diss & Rodrigue Tido Takeng, 2024. "New axiomatisations of the Diversity Owen and Shapley values," Working Papers hal-04502031, HAL.
    7. Steffen Limmer, 2023. "Empirical Study of Stability and Fairness of Schemes for Benefit Distribution in Local Energy Communities," Energies, MDPI, vol. 16(4), pages 1-16, February.
    8. DEHEZ, Pierre, 2011. "Allocation of fixed costs: characterization of the (dual) weighted Shapley value," LIDAM Reprints CORE 2405, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Rene (J.R.) van den Brink & Marina Nunez & Francisco Robles, 2018. "Valuation Monotonicity, Fairness and Stability in Assignment Problems," Tinbergen Institute Discussion Papers 18-071/II, Tinbergen Institute.
    10. Farzaneh Pourahmadi & Payman Dehghanian, 2018. "A Game-Theoretic Loss Allocation Approach in Power Distribution Systems with High Penetration of Distributed Generations," Mathematics, MDPI, vol. 6(9), pages 1-14, September.
    11. Selçuk, O., 2014. "Structural restrictions in cooperation," Other publications TiSEM 0da8d0d3-08c2-4f86-92a1-3, Tilburg University, School of Economics and Management.
    12. René Brink & Yukihiko Funaki, 2009. "Axiomatizations of a Class of Equal Surplus Sharing Solutions for TU-Games," Theory and Decision, Springer, vol. 67(3), pages 303-340, September.
    13. Michela Chessa & Nobuyuki Hanaki & Aymeric Lardon & Takashi Yamada, 2023. "An Experiment on Demand Commitment Bargaining," Dynamic Games and Applications, Springer, vol. 13(2), pages 589-609, June.
    14. Cremers, Sho & Robu, Valentin & Zhang, Peter & Andoni, Merlinda & Norbu, Sonam & Flynn, David, 2023. "Efficient methods for approximating the Shapley value for asset sharing in energy communities," Applied Energy, Elsevier, vol. 331(C).
    15. Sylvain Béal & Sylvain Ferrières & Adriana Navarro‐Ramos & Philippe Solal, 2023. "Axiomatic characterizations of the family of Weighted priority values," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(4), pages 787-816, December.
    16. László Csató, 2018. "Characterization of an inconsistency ranking for pairwise comparison matrices," Annals of Operations Research, Springer, vol. 261(1), pages 155-165, February.
    17. Li, Wenzhong & Xu, Genjiu & van den Brink, René, 2024. "Sign properties and axiomatizations of the weighted division values," Journal of Mathematical Economics, Elsevier, vol. 112(C).
    18. René Brink & Youngsub Chun, 2012. "Balanced consistency and balanced cost reduction for sequencing problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 519-529, March.
    19. Márkus, Judit & Pintér, Miklós & Radványi, Anna, 2011. "The Shapley value for airport and irrigation games," MPRA Paper 30031, University Library of Munich, Germany.
    20. Koji Yokote & Yukihiko Funaki & Yoshio Kamijo, 2015. "A new basis and the Shapley value," Working Papers 1418, Waseda University, Faculty of Political Science and Economics.
    21. Harald Wiese, 2012. "Values with exogenous payments," Theory and Decision, Springer, vol. 72(4), pages 485-508, April.
    22. André Casajus, 2011. "Marginality, differential marginality, and the Banzhaf value," Theory and Decision, Springer, vol. 71(3), pages 365-372, September.
    23. Zou, Zhengxing & van den Brink, René, 2020. "Equal loss under separatorization and egalitarian values," Economics Letters, Elsevier, vol. 194(C).
    24. Li, Xun & Rey, David & Dixit, Vinayak V., 2018. "An axiomatic characterization of fairness in transport networks: Application to road pricing and spatial equity," Transport Policy, Elsevier, vol. 68(C), pages 142-157.
    25. André Casajus, 2011. "Differential marginality, van den Brink fairness, and the Shapley value," Theory and Decision, Springer, vol. 71(2), pages 163-174, August.
    26. Xun-Feng Hu, 2021. "New axiomatizations of the Owen value," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 93(3), pages 585-603, June.
    27. Suzuki, T., 2015. "Solutions for cooperative games with and without transferable utility," Other publications TiSEM 9bd876f2-c055-4d01-95f0-c, Tilburg University, School of Economics and Management.
    28. Oishi, Takayuki & Nakayama, Mikio & Hokari, Toru & Funaki, Yukihiko, 2016. "Duality and anti-duality in TU games applied to solutions, axioms, and axiomatizations," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 44-53.
    29. Zou, Zhengxing & Tan, Zhibin, 2023. "Axiomatizations of convex compromise rules for redistribution of non-negative income," Economics Letters, Elsevier, vol. 229(C).
    30. Michela Chessa & Nobuyuki Hanaki & Aymeric Lardon & Takashi Yamada, 2021. "An Experiment on the Nash Program: Comparing two Mechanisms Implementing the Shapley Value," GREDEG Working Papers 2021-07, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    31. Cubukcu, K. Mert, 2020. "The problem of fair division of surplus development rights in redevelopment of urban areas: Can the Shapley value help?," Land Use Policy, Elsevier, vol. 91(C).

  54. van den Brink, J.R. & Ruys, P.H.M. & Semenov, R., 1999. "Governance of Clubs and Firms with Cultural Dimensions," Discussion Paper 1999-101, Tilburg University, Center for Economic Research.

    Cited by:

    1. Pieter H.M. Ruys & René van den Brink & Radislav Semenov, 2000. "Values and governance systems," Chapters, in: Claude Ménard (ed.), Institutions, Contracts and Organizations, chapter 27, Edward Elgar Publishing.
    2. Ruys, P.H.M. & van den Brink, J.R. & Semenov, R., 1999. "Values and Governance Systems," Other publications TiSEM 7b3f7549-e97f-4e5b-92e6-2, Tilburg University, School of Economics and Management.

  55. van den Brink, J.R. & van der Laan, G., 1999. "Core Concepts for Share Vectors," Discussion Paper 1999-64, Tilburg University, Center for Economic Research.

    Cited by:

    1. van den Brink, J.R. & van der Laan, G., 1999. "Potentials and Reduced Games for Share Functions," Discussion Paper 1999-41, Tilburg University, Center for Economic Research.
    2. van den Brink, J.R. & van der Laan, G., 2001. "A Class of Consistent Share Functions For Games in Coalition Structure," Discussion Paper 2001-33, Tilburg University, Center for Economic Research.

  56. Ruys, P.H.M. & van den Brink, J.R. & Semenov, R., 1999. "Values and Governance Systems," Discussion Paper 1999-66, Tilburg University, Center for Economic Research.

    Cited by:

    1. Edward Kane, 2000. "Architecture of Supra-Governmental International Financial Regulation," Journal of Financial Services Research, Springer;Western Finance Association, vol. 18(2), pages 301-318, December.
    2. René Brink & Pieter Ruys, 2008. "Technology driven organizational structure of the firm," Annals of Finance, Springer, vol. 4(4), pages 481-503, October.
    3. van den Brink, J.R. & Ruys, P.H.M. & Semenov, R., 1999. "Governance of Clubs and Firms with Cultural Dimensions," Discussion Paper 1999-101, Tilburg University, Center for Economic Research.
    4. René van den Brink, 2017. "Games with a Permission Structure: a survey on generalizations and applications," Tinbergen Institute Discussion Papers 17-016/II, Tinbergen Institute.
    5. van den Brink, J.R. & Ruys, P.H.M. & Semenov, R., 1999. "Governance of Clubs and Firms with Cultural Dimensions," Other publications TiSEM 8881e73a-6461-48c2-a60b-a, Tilburg University, School of Economics and Management.

  57. van den Brink, J.R. & van der Laan, G., 1999. "Potentials and Reduced Games for Share Functions," Discussion Paper 1999-41, Tilburg University, Center for Economic Research.

    Cited by:

    1. van den Brink, J.R. & van der Laan, G., 1999. "Core Concepts for Share Vectors," Discussion Paper 1999-64, Tilburg University, Center for Economic Research.

  58. van der Laan, G. & van den Brink, J.R., 1998. "A Banzhaf share function for cooperative games in coalition structure," Discussion Paper 1998-66, Tilburg University, Center for Economic Research.

    Cited by:

    1. van den Brink, J.R. & van der Laan, G., 2001. "A Class of Consistent Share Functions For Games in Coalition Structure," Discussion Paper 2001-33, Tilburg University, Center for Economic Research.
    2. Nicolas Andjiga & Sebastien Courtin, 2015. "Coalition configurations and share functions," Annals of Operations Research, Springer, vol. 225(1), pages 3-25, February.
    3. Michel Grabisch & Agnieszka Rusinowska, 2008. "A model of influence in a social network," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00344457, HAL.
    4. Sébastien Courtin, 2011. "Power in the European Union: an evaluation according to a priori relations between states," Economics Bulletin, AccessEcon, vol. 31(1), pages 534-545.
    5. Nicolas G. Andjiga & Sébastien Courtin, 2015. "Coalition configurations and share functions," Post-Print hal-00914883, HAL.
    6. Mikel Alvarez-Mozos & Rene van den Brink & Gerard van der Laan & Oriol Tejada, 2012. "Share Functions for Cooperative Games with Levels Structure of Cooperation," Tinbergen Institute Discussion Papers 12-052/1, Tinbergen Institute.
    7. Kongo, Takumi, 2011. "Value of games with two-layered hypergraphs," Mathematical Social Sciences, Elsevier, vol. 62(2), pages 114-119, September.

  59. van den Brink, J.R. & van der Laan, G., 1998. "The Normalized Banzhaf Value and the Banzhaf Share Function," Research Memorandum 764, Tilburg University, School of Economics and Management.

    Cited by:

    1. van der Laan, G. & van den Brink, J.R., 1998. "A Banzhaf share function for cooperative games in coalition structure," Other publications TiSEM ee0f55cf-8290-4960-9661-5, Tilburg University, School of Economics and Management.
    2. Gerard van der Laan & René van den Brink, 2002. "A Banzhaf share function for cooperative games in coalition structure," Theory and Decision, Springer, vol. 53(1), pages 61-86, August.

  60. van den Brink, J.R. & Ruys, P.H.M., 1996. "The internal organization of the firm and its external environment," Discussion Paper 1996-113, Tilburg University, Center for Economic Research.

    Cited by:

    1. Pieter H.M. Ruys & René van den Brink & Radislav Semenov, 2000. "Values and governance systems," Chapters, in: Claude Ménard (ed.), Institutions, Contracts and Organizations, chapter 27, Edward Elgar Publishing.
    2. van den Brink, J.R. & Ruys, P.H.M. & Semenov, R., 1999. "Governance of Clubs and Firms with Cultural Dimensions," Discussion Paper 1999-101, Tilburg University, Center for Economic Research.

  61. van den Brink, J.R., 1996. "Skewness of the wage distribution in a firm and the substitutability of labor inputs," Research Memorandum FEW 739, Tilburg University, School of Economics and Management.

    Cited by:

    1. Pieter H.M. Ruys & René van den Brink & Radislav Semenov, 2000. "Values and governance systems," Chapters, in: Claude Ménard (ed.), Institutions, Contracts and Organizations, chapter 27, Edward Elgar Publishing.

  62. van den Brink, J.R., 1994. "A note on the t-value and t-related solution concepts," Research Memorandum FEW 652, Tilburg University, School of Economics and Management.

    Cited by:

    1. Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2002. "Hypercubes and Compromise Values for Cooperative Fuzzy Games," Discussion Paper 2002-14, Tilburg University, Center for Economic Research.

  63. van den Brink, J.R. & Borm, P.E.M., 1994. "Digraph competitions and cooperative games," Discussion Paper 1994-24, Tilburg University, Center for Economic Research.

    Cited by:

    1. Robert P. Gilles & Lina Mallozzi, 2022. "Gately Values of Cooperative Games," Papers 2208.10189, arXiv.org, revised Jul 2023.
    2. Peter Borm & René van den Brink & Marco Slikker, 2002. "An Iterative Procedure for Evaluating Digraph Competitions," Annals of Operations Research, Springer, vol. 109(1), pages 61-75, January.
    3. René van den Brink & Agnieszka Rusinowska & Frank Steffen, 2011. "Measuring Power and Satisfaction in Societies with Opinion Leaders: An Axiomatization," Post-Print halshs-00587726, HAL.
    4. Borm, Peter & van den Brink, Rene & Levinsky, Rene & Slikker, Marco, 2004. "On two new social choice correspondences," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 51-68, January.
    5. Michel Grabisch & Agnieszka Rusinowska, 2008. "A model of influence in a social network," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00344457, HAL.
    6. Marco Slikker & Peter Borm & René Brink, 2012. "Internal slackening scoring methods," Theory and Decision, Springer, vol. 72(4), pages 445-462, April.
    7. René van den Brink & Agnieszka Rusinowska & Frank Steffen, 2011. "Measuring Power and Satisfaction in Societies with Opinion Leaders: Dictator and Opinion Leader Properties," Post-Print hal-00633881, HAL.
    8. Encarnación Algaba & René Brink & Chris Dietz, 2017. "Power Measures and Solutions for Games Under Precedence Constraints," Journal of Optimization Theory and Applications, Springer, vol. 172(3), pages 1008-1022, March.
    9. Hao Wu & Rene van den Brink & Arantza Estevez-Fernandez, 2022. "The locally partial permission value for games with a permission structure," Tinbergen Institute Discussion Papers 22-037/II, Tinbergen Institute.
    10. Robert P. Gilles & Lina Mallozzi, 2023. "Game Theoretic Foundations of the Gately Power Measure for Directed Networks," Games, MDPI, vol. 14(5), pages 1-19, September.
    11. Quant, M. & Borm, P.E.M. & Reijnierse, J.H. & Voorneveld, M., 2003. "On a Compromise Social Choice Correspondence," Discussion Paper 2003-29, Tilburg University, Center for Economic Research.
    12. Rafael Amer & José Giménez & Antonio Magaña, 2012. "Accessibility measures to nodes of directed graphs using solutions for generalized cooperative games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 75(1), pages 105-134, February.
    13. Yuan Ju & Peter Borm & Pieter Ruys, 2007. "The consensus value: a new solution concept for cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(4), pages 685-703, June.
    14. van den Brink, J.R. & Borm, P.E.M. & Hendrickx, R.L.P. & Owen, G., 2008. "Characterizations of the beta- and the degree network power measure," Other publications TiSEM 101ef139-cc05-4b30-bef5-1, Tilburg University, School of Economics and Management.
    15. René Brink, 2017. "Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 1-33, April.
    16. Aleksei Y. Kondratev & Vladimir V. Mazalov, 2020. "Tournament solutions based on cooperative game theory," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 119-145, March.
    17. Quant, M. & Borm, P.E.M. & Reijnierse, J.H. & Voorneveld, M., 2002. "Characterizations of Solutions in Digraph Competitions," Discussion Paper 2002-113, Tilburg University, Center for Economic Research.
    18. Encarnacion Algaba & René van den Brink & Chris Dietz, 2015. "Power Measures and Solutions for Games under Precedence Constraints," Tinbergen Institute Discussion Papers 15-007/II, Tinbergen Institute.
    19. Amer, Rafael & Gimenez, Jose Miguel & Magana, Antonio, 2007. "Accessibility in oriented networks," European Journal of Operational Research, Elsevier, vol. 180(2), pages 700-712, July.
    20. Rene van den Brink & Chris Dietz, 2012. "Games with a Local Permission Structure: Separation of Authority and Value Generation," Tinbergen Institute Discussion Papers 12-126/II, Tinbergen Institute.
    21. Quant, M. & Borm, P.E.M. & Reijnierse, J.H. & Voorneveld, M., 2006. "On the Beta measure for digraph competitions," Other publications TiSEM 214590f7-5605-42d6-8353-6, Tilburg University, School of Economics and Management.
    22. Denis Bouyssou & Thierry Marchant, 2016. "Ranking authors using fractional counting of citations: An axiomatic approach," Post-Print hal-01397699, HAL.
    23. Gilles, Robert P. & Mallozzi, Lina, 2022. "Generalised Gately Values of Cooperative Games," QBS Working Paper Series 2022/06, Queen's University Belfast, Queen's Business School.

  64. Gilles, R.P. & Owen, G. & van den Brink, J.R., 1991. "Games with permission structures : The conjunctive approach," Discussion Paper 1991-14, Tilburg University, Center for Economic Research.

    Cited by:

    1. Conrado M. Manuel & Daniel Martín, 2020. "A Monotonic Weighted Shapley Value," Group Decision and Negotiation, Springer, vol. 29(4), pages 627-654, August.
    2. Encarnación Algaba & Stefano Moretti & Eric Rémila & Philippe Solal, 2021. "Lexicographic solutions for coalitional rankings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(4), pages 817-849, November.
    3. Ulrich Faigle & Michel Grabisch & Maximilian Heyne, 2010. "Monge extensions of cooperation and communication structures," Post-Print hal-00625336, HAL.
    4. Rong Zou & Genjiu Xu & Dongshuang Hou, 2023. "Efficient extensions of the Myerson value based on endogenous claims from players," Annals of Operations Research, Springer, vol. 323(1), pages 287-300, April.
    5. Wu, Hao & van den Brink, René & Estévez-Fernández, Arantza, 2024. "Highway toll allocation," Transportation Research Part B: Methodological, Elsevier, vol. 180(C).
    6. Chakrabarti, Subhadip & Ghintran, Amandine, 2013. "Assignment of Heterogeneous Agents in Trees under the Permission Value," MPRA Paper 49115, University Library of Munich, Germany.
    7. Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2007. "The socially stable core in structured transferable utility games," Other publications TiSEM 28c8ea20-8a66-4d9e-b054-8, Tilburg University, School of Economics and Management.
    8. Hougaard, J. & Moreno-Ternero, J. & Tvede, M. & Osterdal, L., 2015. "Sharing the proceeds from a hierarchical venture," LIDAM Discussion Papers CORE 2015031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. van den Brink, R. & van der Laan, G. & Herings, P.J.J. & Talman, A.J.J., 2015. "The Average Tree permission value for games with a permission tree," Other publications TiSEM 97042492-4b03-4e72-b88d-d, Tilburg University, School of Economics and Management.
    10. René van den Brink & Frank Steffen, 2008. "Axiomatizations of a Positional Power Score and Measure for Hierarchies," Tinbergen Institute Discussion Papers 08-115/1, Tinbergen Institute.
    11. Lukáš Adam & Tomáš Kroupa, 2017. "The intermediate set and limiting superdifferential for coalitional games: between the core and the Weber set," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 891-918, November.
    12. Juarez, Ruben & Ko, Chiu Yu & Xue, Jingyi, 2016. "Sharing Sequential Values in a Network," Economics and Statistics Working Papers 3-2017, Singapore Management University, School of Economics.
    13. Jens Gudmundsson & Jens Leth Hougaard & Chiu Yu Ko, 2022. "Sharing sequentially triggered losses: Automatic conflict resolution through smart contracts," IFRO Working Paper 2020/05, University of Copenhagen, Department of Food and Resource Economics.
    14. Meng, Fanyong & Chen, Xiaohong & Zhang, Qiang, 2015. "A coalitional value for games on convex geometries with a coalition structure," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 605-614.
    15. Joseph Simonian, 2014. "Copula-opinion pooling with complex opinions," Quantitative Finance, Taylor & Francis Journals, vol. 14(6), pages 941-946, June.
    16. Slikker, M. & Gilles, R.P. & Norde, H.W. & Tijs, S.H., 2000. "Directed Communication Networks," Discussion Paper 2000-84, Tilburg University, Center for Economic Research.
    17. Sylvain Béal & Sylvain Ferrières & Philippe Solal, 2020. "The Priority Value for Cooperative Games with a Priority Structure," Working Papers 2020-02, CRESE.
    18. van den Brink, R. & Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2013. "The Average Tree Permission Value for Games with a Permission Tree," Other publications TiSEM 7f82484a-b6d8-4d2e-90cb-8, Tilburg University, School of Economics and Management.
    19. René Brink & Gerard Laan & Valeri Vasil’ev, 2014. "Constrained core solutions for totally positive games with ordered players," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 351-368, May.
    20. Michel Grabisch & Peter Sudhölter, 2012. "The Bounded Core for Games with Precedence Constraints," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00759893, HAL.
    21. Abe, Takaaki & Nakada, Satoshi, 2023. "The in-group egalitarian Owen values," Games and Economic Behavior, Elsevier, vol. 142(C), pages 1-16.
    22. Sylvain Béal & Issofa Moyouwou & Eric Rémila & Phillippe Solal, 2018. "Cooperative games on intersection closed systems and the Shapley value," Working Papers 2018-06, CRESE.
    23. Tobias Hiller, 2015. "The $$\chi $$ χ value and team games," Theory and Decision, Springer, vol. 78(4), pages 539-548, April.
    24. René Brink & Gerard Laan & Valeri Vasil’ev, 2007. "Component efficient solutions in line-graph games with applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(2), pages 349-364, November.
    25. Surajit Borkotokey & Loyimee Gogoi & Dhrubajit Choudhury & Rajnish Kumar, 2022. "Solidarity induced by group contributions: the MI $$^k$$ k -value for transferable utility games," Operational Research, Springer, vol. 22(2), pages 1267-1290, April.
    26. Michel Grabisch, 2013. "The core of games on ordered structures and graphs," Post-Print hal-00803233, HAL.
    27. Samir Aknine & Suzanne Pinson & Melvin F. Shakun, 2004. "A Multi-Agent Coalition Formation Method Based on Preference Models," Group Decision and Negotiation, Springer, vol. 13(6), pages 513-538, November.
    28. Sylvain Béal & Marc Deschamps & Alexandre Skoda, 2024. "The neighborhood value for cooperative graph games," Working Papers 2024-16, CRESE.
    29. P. Jean-Jacques Herings & Gerard van der Laan & Dolf Talman, 2001. "Measuring the Power of Nodes in Digraphs," Tinbergen Institute Discussion Papers 01-096/1, Tinbergen Institute.
    30. René van den Brink & Gerard van der Laan & Valeri Vasil'ev, 2007. "Distributing Dividends in Games with Ordered Players," Tinbergen Institute Discussion Papers 06-114/1, Tinbergen Institute.
    31. Sylvain Béal & Aymeric Lardon & Éric Rémila & Philippe Solal, 2011. "The Average Tree Solution for Multi-Choice Forest Games," Post-Print halshs-00674431, HAL.
    32. Encarnacion Algaba & Rene van den Brink, 2021. "Networks, Communication and Hierarchy: Applications to Cooperative Games," Tinbergen Institute Discussion Papers 21-019/IV, Tinbergen Institute.
    33. René Brink, 2010. "Axiomatizations of Banzhaf permission values for games with a permission structure," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(3), pages 445-466, July.
    34. Michel Grabisch & Lijue Xie, 2008. "The core of games on distributive lattices: how to share benefits in a hierarchy," Post-Print halshs-00344802, HAL.
    35. Encarnación Algaba & René Brink & Chris Dietz, 2017. "Power Measures and Solutions for Games Under Precedence Constraints," Journal of Optimization Theory and Applications, Springer, vol. 172(3), pages 1008-1022, March.
    36. René Brink & Pieter Ruys, 2008. "Technology driven organizational structure of the firm," Annals of Finance, Springer, vol. 4(4), pages 481-503, October.
    37. David Lowing, 2021. "Allocation Rules for Multi-choice Games with a Permission Tree Structure," Working Papers 2106, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    38. Hao Wu & Rene van den Brink & Arantza Estevez-Fernandez, 2022. "The locally partial permission value for games with a permission structure," Tinbergen Institute Discussion Papers 22-037/II, Tinbergen Institute.
    39. Enrique González-Arangüena & Conrado Manuel & Daniel Gomez & René van den Brink, 2008. "A Value for Directed Communication Situations," Tinbergen Institute Discussion Papers 08-006/1, Tinbergen Institute.
    40. Calvo, Emilio & Santos, Juan Carlos, 1997. "Potentials in cooperative TU-games," Mathematical Social Sciences, Elsevier, vol. 34(2), pages 175-190, October.
    41. René Brink & Chris Dietz & Gerard Laan & Genjiu Xu, 2017. "Comparable characterizations of four solutions for permission tree games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(4), pages 903-923, April.
    42. Tobias Hiller, 2021. "Hierarchy and the size of a firm," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 68(3), pages 389-404, September.
    43. Tobias Hiller, 2018. "The Effects of Excluding Coalitions," Games, MDPI, vol. 9(1), pages 1-7, January.
    44. Sylvain Béal & Sylvain Ferrières & Adriana Navarro‐Ramos & Philippe Solal, 2023. "Axiomatic characterizations of the family of Weighted priority values," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(4), pages 787-816, December.
    45. René Brink & Ilya Katsev & Gerard Laan, 2011. "Axiomatizations of two types of Shapley values for games on union closed systems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(1), pages 175-188, May.
    46. van den Brink, J.R. & Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2013. "The average tree permission value for games with a permission tree," Research Memorandum 001, Maastricht University, Graduate School of Business and Economics (GSBE).
    47. Michel Grabisch & Lijue Xie, 2011. "The restricted core of games on distributive lattices: how to share benefits in a hierarchy," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00583868, HAL.
    48. Labreuche, Christophe, 2011. "Interaction indices for games on combinatorial structures with forbidden coalitions," European Journal of Operational Research, Elsevier, vol. 214(1), pages 99-108, October.
    49. Bilbao, J.M. & Ordóñez, M., 2009. "Axiomatizations of the Shapley value for games on augmenting systems," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1008-1014, August.
    50. Encarnacion Algaba & Sylvain Béal & Eric Rémila & Philippe Solal, 2019. "Harsanyi power solutions for cooperative games on voting structures," Post-Print halshs-02409438, HAL.
    51. Karos, Dominik & Peters, Hans, 2015. "Indirect control and power in mutual control structures," Games and Economic Behavior, Elsevier, vol. 92(C), pages 150-165.
    52. van den Brink, René & González-Arangüena, Enrique & Manuel, Conrado & del Pozo, Mónica, 2014. "Order monotonic solutions for generalized characteristic functions," European Journal of Operational Research, Elsevier, vol. 238(3), pages 786-796.
    53. Brânzei, R. & Fragnelli, V. & Tijs, S.H., 2002. "Tree-connected peer group situations and peer group games," Other publications TiSEM f4601b66-2e29-4969-85ca-0, Tilburg University, School of Economics and Management.
    54. J. Bilbao & C. Chacón & A. Jiménez-Losada & E. Lebrón, 2008. "Convexity properties for interior operator games," Annals of Operations Research, Springer, vol. 158(1), pages 117-131, February.
    55. van den Brink, J.R. & Ruys, P.H.M. & Semenov, R., 1999. "Governance of Clubs and Firms with Cultural Dimensions," Discussion Paper 1999-101, Tilburg University, Center for Economic Research.
    56. Algaba, A. & Bilbao, J.M. & van den Brink, J.R. & Jiménez-Losada, A., 2000. "Cooperative Games on Antimatroids," Other publications TiSEM 907b4b44-90f9-4faa-9473-8, Tilburg University, School of Economics and Management.
    57. Rene van den Brink & Robert P. Gilles, 2004. "Explicit and Latent Authority in Hierarchical Organizations," Econometric Society 2004 North American Summer Meetings 393, Econometric Society.
    58. van der Brink, R., 1994. "An Axiomatization of the Disjunctive Permission Value for Games with a Permission Structure," Discussion Paper 1994-33, Tilburg University, Center for Economic Research.
    59. Rafael Amer & José Giménez & Antonio Magaña, 2012. "Accessibility measures to nodes of directed graphs using solutions for generalized cooperative games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 75(1), pages 105-134, February.
    60. Clinton Gubong Gassi, 2024. "A Characterization of the Myerson value for cooperative games on voting structures," Working Papers 2024-10, CRESE.
    61. Richard Baron & Sylvain Béal & Éric Rémila & Philippe Solal, 2011. "Average Tree Solutions and the Distribution of Harsanyi Dividends," Post-Print halshs-00674425, HAL.
    62. Rene van den Brink & Ilya Katsev & Gerard van der Laan, 2023. "Properties of Solutions for Games on Union-Closed Systems," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
    63. Derks, Jean & Peters, Hans, 1997. "Consistent restricted Shapley values," Mathematical Social Sciences, Elsevier, vol. 33(1), pages 75-91, February.
    64. Lowing, David, 2024. "Cost allocation in energy distribution networks," Journal of Mathematical Economics, Elsevier, vol. 110(C).
    65. van den Brink, René & He, Simin & Huang, Jia-Ping, 2018. "Polluted river problems and games with a permission structure," Games and Economic Behavior, Elsevier, vol. 108(C), pages 182-205.
    66. A. Jiménez-Losada, 2017. "Comments on: Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 39-41, April.
    67. Xianghui Li & Bin Jiang & Yang Li, 2024. "The allowable value for cooperative games with restricted permutations," Annals of Operations Research, Springer, vol. 340(2), pages 943-959, September.
    68. René van den Brink, 2006. "On Hierarchies and Communication," Tinbergen Institute Discussion Papers 06-056/1, Tinbergen Institute.
    69. van den Brink, J.R. & Gilles, R.P., 2005. "Explicit and Latent Authority in Hierarchical Organizations," Other publications TiSEM b4225229-4c7a-433f-8340-a, Tilburg University, School of Economics and Management.
    70. Mikel Álvarez-Mozos & Rene van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games with Hierarchical Structure," CER-ETH Economics working paper series 15/215, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    71. Pulido, Manuel A. & Sanchez-Soriano, Joaquin, 2006. "Characterization of the core in games with restricted cooperation," European Journal of Operational Research, Elsevier, vol. 175(2), pages 860-869, December.
    72. Frank Huettner & Harald Wiese, 2016. "The Need for Permission, the Power to Enforce, and Duality in Cooperative Games with a Hierarchy," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 1-12, December.
    73. René Brink, 2008. "Vertical wage differences in hierarchically structured firms," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(2), pages 225-243, February.
    74. E. C. Gavilán & C. Manuel & R. Brink, 2023. "Directed communication in games with directed graphs," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(3), pages 584-617, October.
    75. E. Algaba & J. Bilbao & R. Brink, 2015. "Harsanyi power solutions for games on union stable systems," Annals of Operations Research, Springer, vol. 225(1), pages 27-44, February.
    76. Richard Baron & Sylvain Béal & Éric Rémila & Philippe Solal, 2008. "Average tree solutions for graph games," Post-Print hal-00332570, HAL.
    77. René van den Brink & Ilya Katsev & Gerard van der Laan, 2008. "An Algorithm for Computing the Nucleolus of Disjunctive Additive Games with An Acyclic Permission Structure," Tinbergen Institute Discussion Papers 08-104/1, Tinbergen Institute.
    78. René Brink, 2017. "Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 1-33, April.
    79. C. Manuel & D. Martín, 2021. "A value for communication situations with players having different bargaining abilities," Annals of Operations Research, Springer, vol. 301(1), pages 161-182, June.
    80. Katsev, Ilya & Yanovskaya, Elena, 2013. "The prenucleolus for games with restricted cooperation," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 56-65.
    81. Takayuki Oishi & Gerard van der Laan & René van den Brink, 2023. "Axiomatic analysis of liability problems with rooted-tree networks in tort law," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 229-258, January.
    82. Emilio Calvo & Esther Gutiérrez-López, 2015. "The value in games with restricted cooperation," Discussion Papers in Economic Behaviour 0115, University of Valencia, ERI-CES.
    83. van den Brink, René & Katsev, Ilya & van der Laan, Gerard, 2010. "An algorithm for computing the nucleolus of disjunctive non-negative additive games with an acyclic permission structure," European Journal of Operational Research, Elsevier, vol. 207(2), pages 817-826, December.
    84. Takayuki Oishi & Gerard van der Laan & René van den Brink, 2016. "An Axiomatic Analysis of Joint Liability Problems with Rooted -Tree Structure," Tinbergen Institute Discussion Papers 16-042/II, Tinbergen Institute.
    85. J. R. Fernández & I. Gallego & A. Jiménez-Losada & M. Ordóñez, 2019. "The cg-average tree value for games on cycle-free fuzzy communication structures," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(3), pages 456-478, October.
    86. van den Brink, J.R. & Ruys, P.H.M. & Semenov, R., 1999. "Governance of Clubs and Firms with Cultural Dimensions," Other publications TiSEM 8881e73a-6461-48c2-a60b-a, Tilburg University, School of Economics and Management.
    87. René van den Brink & Frank Steffen, 2007. "Positional Power in Hierarchies," Tinbergen Institute Discussion Papers 07-038/1, Tinbergen Institute.
    88. Daniel Li Li & Erfang Shan, 2021. "Cooperative games with partial information," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 297-309, March.
    89. Derks, Jean, 2018. "The Shapley value of conjunctive-restricted games," Games and Economic Behavior, Elsevier, vol. 108(C), pages 146-151.
    90. Takayuki Oishi & Gerard van der Laan & René van den Brink, 2018. "The Tort Law and the Nucleolus for Generalized Joint Liability Problems," Discussion Papers 37, Meisei University, School of Economics.
    91. van der Brink, R., 1994. "An Axiomatization of the Disjunctive Permission Value for Games with a Permission Structure," Other publications TiSEM 03d9ad35-de0d-4d7f-95bd-9, Tilburg University, School of Economics and Management.
    92. Hao Wu & Rene van den Brink & Arantza Estevez-Fernandez, 2022. "Highway toll allocation," Tinbergen Institute Discussion Papers 22-036/II, Tinbergen Institute.
    93. Encarnacion Algaba & Rene van den Brink, 2019. "The Shapley Value and Games with Hierarchies," Tinbergen Institute Discussion Papers 19-064/II, Tinbergen Institute.
    94. David Lowing & Kevin Techer, 2022. "Priority relations and cooperation with multiple activity levels," Post-Print hal-04097838, HAL.
    95. René van den Brink & Gerard van der Laan & Valeri Vasil'ev, 0000. "The Restricted Core for Totally Positive Games with Ordered Players," Tinbergen Institute Discussion Papers 09-038/1, Tinbergen Institute.
    96. Encarnacion Algaba & Jesus Mario Bilbao & Rene van den Brink & Jorge J. Lopez, 2011. "The Myerson Value and Superfluous Supports in Union Stable Systems," Tinbergen Institute Discussion Papers 11-127/1, Tinbergen Institute.
    97. Lei Li & Xueliang Li, 2011. "The covering values for acyclic digraph games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(4), pages 697-718, November.
    98. Encarnación Algaba & René Brink & Chris Dietz, 2018. "Network Structures with Hierarchy and Communication," Journal of Optimization Theory and Applications, Springer, vol. 179(1), pages 265-282, October.
    99. Arin Aguirre, Francisco Javier & Feltkamp, Vicent & Montero García, María, 2013. "Coalitional games with veto players: Myopic and farsighted behavior," IKERLANAK http://www-fae1-eao1-ehu-, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    100. J. Arin & V. Feltkamp & M. Montero, 2015. "A bargaining procedure leading to the serial rule in games with veto players," Annals of Operations Research, Springer, vol. 229(1), pages 41-66, June.
    101. van den Brink, René & van der Laan, Gerard & Vasil'ev, Valeri, 2008. "Extreme points of two digraph polytopes: Description and applications in economics and game theory," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1114-1125, December.
    102. Slikker, M. & Gilles, R.P. & Norde, H.W. & Tijs, S.H., 2000. "Directed Communication Networks," Other publications TiSEM 00f2df6e-3a8e-4ed3-84cf-2, Tilburg University, School of Economics and Management.
    103. Amer, Rafael & Gimenez, Jose Miguel & Magana, Antonio, 2007. "Accessibility in oriented networks," European Journal of Operational Research, Elsevier, vol. 180(2), pages 700-712, July.
    104. Jiachen T. Wang & Zhun Deng & Hiroaki Chiba-Okabe & Boaz Barak & Weijie J. Su, 2024. "An Economic Solution to Copyright Challenges of Generative AI," Papers 2404.13964, arXiv.org, revised Sep 2024.
    105. Rene van den Brink & Chris Dietz, 2012. "Games with a Local Permission Structure: Separation of Authority and Value Generation," Tinbergen Institute Discussion Papers 12-126/II, Tinbergen Institute.
    106. Mikel Álvarez-Mozos & René van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games," Tinbergen Institute Discussion Papers 15-072/II, Tinbergen Institute.
    107. Slikker, Marco & Gilles, Robert P. & Norde, Henk & Tijs, Stef, 2005. "Directed networks, allocation properties and hierarchy formation," Mathematical Social Sciences, Elsevier, vol. 49(1), pages 55-80, January.
    108. David Lowing, 2023. "Cost allocation in energy distribution networks," Working Papers hal-03680156, HAL.
    109. René Brink & Ilya Katsev & Gerard Laan, 2011. "A polynomial time algorithm for computing the nucleolus for a class of disjunctive games with a permission structure," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 591-616, August.
    110. E. Algaba & J. M. Bilbao & R. Brink & J. J. López, 2012. "The Myerson Value and Superfluous Supports in Union Stable Systems," Journal of Optimization Theory and Applications, Springer, vol. 155(2), pages 650-668, November.
    111. Zhengxing Zou & Qiang Zhang, 2018. "Harsanyi power solution for games with restricted cooperation," Journal of Combinatorial Optimization, Springer, vol. 35(1), pages 26-47, January.
    112. Takashi Ui & Hiroyuki Kojima & Atsushi Kajii, 2011. "The Myerson value for complete coalition structures," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 74(3), pages 427-443, December.
    113. Zhengxing Zou & Qiang Zhang & Surajit Borkotokey & Xiaohui Yu, 2020. "The extended Shapley value for generalized cooperative games under precedence constraints," Operational Research, Springer, vol. 20(2), pages 899-925, June.
    114. Algaba, A. & Bilbao, J.M. & van den Brink, J.R. & Jiménez-Losada, A., 2000. "Cooperative Games on Antimatroids," Discussion Paper 2000-124, Tilburg University, Center for Economic Research.
    115. René van den Brink & Ilya Katsev & Gerard van der Laan, 2008. "Computation of the Nucleolus for a Class of Disjunctive Games with a Permission Structure," Tinbergen Institute Discussion Papers 08-060/1, Tinbergen Institute.

  65. van den Brink, J.R. & Gilles, R.P., 1991. "Axiomatizations of the conjunctive permission value for games with permission structures," Research Memorandum FEW 485, Tilburg University, School of Economics and Management.

    Cited by:

    1. Conrado M. Manuel & Daniel Martín, 2020. "A Monotonic Weighted Shapley Value," Group Decision and Negotiation, Springer, vol. 29(4), pages 627-654, August.
    2. Wu, Hao & van den Brink, René & Estévez-Fernández, Arantza, 2024. "Highway toll allocation," Transportation Research Part B: Methodological, Elsevier, vol. 180(C).
    3. Chakrabarti, Subhadip & Ghintran, Amandine, 2013. "Assignment of Heterogeneous Agents in Trees under the Permission Value," MPRA Paper 49115, University Library of Munich, Germany.
    4. Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2007. "The socially stable core in structured transferable utility games," Other publications TiSEM 28c8ea20-8a66-4d9e-b054-8, Tilburg University, School of Economics and Management.
    5. René van den Brink & Simin He & Jia-Ping Huang, 2015. "Polluted River Problems and Games with a Permission Structure," Tinbergen Institute Discussion Papers 15-108/II, Tinbergen Institute.
    6. Sylvain Béal & Amandine Ghintran & Eric Rémila & Philippe Solal, 2015. "The sequential equal surplus division for rooted forest games and an application to sharing a river with bifurcations," Theory and Decision, Springer, vol. 79(2), pages 251-283, September.
    7. Hougaard, J. & Moreno-Ternero, J. & Tvede, M. & Osterdal, L., 2015. "Sharing the proceeds from a hierarchical venture," LIDAM Discussion Papers CORE 2015031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. van den Brink, R. & van der Laan, G. & Herings, P.J.J. & Talman, A.J.J., 2015. "The Average Tree permission value for games with a permission tree," Other publications TiSEM 97042492-4b03-4e72-b88d-d, Tilburg University, School of Economics and Management.
    9. René van den Brink & Frank Steffen, 2008. "Axiomatizations of a Positional Power Score and Measure for Hierarchies," Tinbergen Institute Discussion Papers 08-115/1, Tinbergen Institute.
    10. Juarez, Ruben & Ko, Chiu Yu & Xue, Jingyi, 2016. "Sharing Sequential Values in a Network," Economics and Statistics Working Papers 3-2017, Singapore Management University, School of Economics.
    11. Pieter H.M. Ruys & René van den Brink & Radislav Semenov, 2000. "Values and governance systems," Chapters, in: Claude Ménard (ed.), Institutions, Contracts and Organizations, chapter 27, Edward Elgar Publishing.
    12. Slikker, M. & Gilles, R.P. & Norde, H.W. & Tijs, S.H., 2000. "Directed Communication Networks," Discussion Paper 2000-84, Tilburg University, Center for Economic Research.
    13. Sylvain Béal & Sylvain Ferrières & Philippe Solal, 2020. "The Priority Value for Cooperative Games with a Priority Structure," Working Papers 2020-02, CRESE.
    14. van den Brink, R. & Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2013. "The Average Tree Permission Value for Games with a Permission Tree," Other publications TiSEM 7f82484a-b6d8-4d2e-90cb-8, Tilburg University, School of Economics and Management.
    15. René Brink & Gerard Laan & Valeri Vasil’ev, 2014. "Constrained core solutions for totally positive games with ordered players," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 351-368, May.
    16. Tobias Hiller, 2015. "The $$\chi $$ χ value and team games," Theory and Decision, Springer, vol. 78(4), pages 539-548, April.
    17. Dongshuang Hou & Aymeric Lardon & Panfei Sun & Genjiu Xu, 2019. "Sharing a Polluted River under Waste Flow Control," GREDEG Working Papers 2019-23, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    18. Ruys, P.H.M. & van den Brink, J.R. & Semenov, R., 1999. "Values and Governance Systems," Other publications TiSEM 7b3f7549-e97f-4e5b-92e6-2, Tilburg University, School of Economics and Management.
    19. Michel Grabisch & Tomáš Kroupa, 2018. "The cone of supermodular games on finite distributive lattices," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01821712, HAL.
    20. Sylvain Béal & Florian Navarro, 2020. "Necessary versus equal players in axiomatic studies," Post-Print hal-03252179, HAL.
    21. René van den Brink & Gerard van der Laan & Valeri Vasil'ev, 2007. "Distributing Dividends in Games with Ordered Players," Tinbergen Institute Discussion Papers 06-114/1, Tinbergen Institute.
    22. Conrado M. Manuel & Daniel Martín, 2021. "A Monotonic Weighted Banzhaf Value for Voting Games," Mathematics, MDPI, vol. 9(12), pages 1-23, June.
    23. Manuel, C. & Ortega, E. & del Pozo, M., 2020. "Marginality and Myerson values," European Journal of Operational Research, Elsevier, vol. 284(1), pages 301-312.
    24. Encarnacion Algaba & Rene van den Brink, 2021. "Networks, Communication and Hierarchy: Applications to Cooperative Games," Tinbergen Institute Discussion Papers 21-019/IV, Tinbergen Institute.
    25. René van den Brink, 2009. "Comparable Axiomatizations of the Myerson Value, the Restricted Banzhaf Value, Hierarchical Outcomes and the Average Tree Solution for Cycle-Free Graph Restricted Games," Tinbergen Institute Discussion Papers 09-108/1, Tinbergen Institute.
    26. Michel Grabisch & Peter Sudhölter, 2016. "Characterizations of solutions for games with precedence constraints," PSE-Ecole d'économie de Paris (Postprint) hal-01297600, HAL.
    27. René Brink & Pieter Ruys, 2008. "Technology driven organizational structure of the firm," Annals of Finance, Springer, vol. 4(4), pages 481-503, October.
    28. David Lowing, 2021. "Allocation Rules for Multi-choice Games with a Permission Tree Structure," Working Papers 2106, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    29. Selçuk, O., 2014. "Structural restrictions in cooperation," Other publications TiSEM 0da8d0d3-08c2-4f86-92a1-3, Tilburg University, School of Economics and Management.
    30. Navarro, Florian, 2020. "The center value: A sharing rule for cooperative games on acyclic graphs," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 1-13.
    31. Baomin Dong & Debing Ni & Yuntong Wang, 2012. "Sharing a Polluted River Network," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 53(3), pages 367-387, November.
    32. Hao Wu & Rene van den Brink & Arantza Estevez-Fernandez, 2022. "The locally partial permission value for games with a permission structure," Tinbergen Institute Discussion Papers 22-037/II, Tinbergen Institute.
    33. Enrique González-Arangüena & Conrado Manuel & Daniel Gomez & René van den Brink, 2008. "A Value for Directed Communication Situations," Tinbergen Institute Discussion Papers 08-006/1, Tinbergen Institute.
    34. René Brink & Chris Dietz & Gerard Laan & Genjiu Xu, 2017. "Comparable characterizations of four solutions for permission tree games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(4), pages 903-923, April.
    35. Tobias Hiller, 2021. "Hierarchy and the size of a firm," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 68(3), pages 389-404, September.
    36. Guangming Wang & Zeguang Cui & Erfang Shan, 2022. "An Axiomatization of the Value α for Games Restricted by Augmenting Systems," Mathematics, MDPI, vol. 10(15), pages 1-9, August.
    37. Tobias Hiller, 2018. "The Effects of Excluding Coalitions," Games, MDPI, vol. 9(1), pages 1-7, January.
    38. Sylvain Béal & Sylvain Ferrières & Adriana Navarro‐Ramos & Philippe Solal, 2023. "Axiomatic characterizations of the family of Weighted priority values," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(4), pages 787-816, December.
    39. René Brink & Ilya Katsev & Gerard Laan, 2011. "Axiomatizations of two types of Shapley values for games on union closed systems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(1), pages 175-188, May.
    40. van den Brink, J.R. & Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2013. "The average tree permission value for games with a permission tree," Research Memorandum 001, Maastricht University, Graduate School of Business and Economics (GSBE).
    41. C. Manuel & E. Ortega & M. del Pozo, 2023. "Marginality and the position value," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(2), pages 459-474, July.
    42. van den Brink, René & González-Arangüena, Enrique & Manuel, Conrado & del Pozo, Mónica, 2014. "Order monotonic solutions for generalized characteristic functions," European Journal of Operational Research, Elsevier, vol. 238(3), pages 786-796.
    43. van den Brink, J.R. & Ruys, P.H.M. & Semenov, R., 1999. "Governance of Clubs and Firms with Cultural Dimensions," Discussion Paper 1999-101, Tilburg University, Center for Economic Research.
    44. Algaba, A. & Bilbao, J.M. & van den Brink, J.R. & Jiménez-Losada, A., 2000. "Cooperative Games on Antimatroids," Other publications TiSEM 907b4b44-90f9-4faa-9473-8, Tilburg University, School of Economics and Management.
    45. Rene van den Brink & Robert P. Gilles, 2004. "Explicit and Latent Authority in Hierarchical Organizations," Econometric Society 2004 North American Summer Meetings 393, Econometric Society.
    46. Rene van den Brink & Ilya Katsev & Gerard van der Laan, 2023. "Properties of Solutions for Games on Union-Closed Systems," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
    47. Lowing, David, 2024. "Cost allocation in energy distribution networks," Journal of Mathematical Economics, Elsevier, vol. 110(C).
    48. van den Brink, René & He, Simin & Huang, Jia-Ping, 2018. "Polluted river problems and games with a permission structure," Games and Economic Behavior, Elsevier, vol. 108(C), pages 182-205.
    49. René van den Brink, 2006. "On Hierarchies and Communication," Tinbergen Institute Discussion Papers 06-056/1, Tinbergen Institute.
    50. René van den Brink, 2017. "Games with a Permission Structure: a survey on generalizations and applications," Tinbergen Institute Discussion Papers 17-016/II, Tinbergen Institute.
    51. van den Brink, J.R. & Gilles, R.P., 2005. "Explicit and Latent Authority in Hierarchical Organizations," Other publications TiSEM b4225229-4c7a-433f-8340-a, Tilburg University, School of Economics and Management.
    52. Mikel Álvarez-Mozos & Rene van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games with Hierarchical Structure," CER-ETH Economics working paper series 15/215, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    53. Frank Huettner & Harald Wiese, 2016. "The Need for Permission, the Power to Enforce, and Duality in Cooperative Games with a Hierarchy," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 1-12, December.
    54. de Clippel, Geoffroy, 2018. "Membership separability: A new axiomatization of the Shapley value," Games and Economic Behavior, Elsevier, vol. 108(C), pages 125-129.
    55. E. C. Gavilán & C. Manuel & R. Brink, 2023. "Directed communication in games with directed graphs," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(3), pages 584-617, October.
    56. René van den Brink & Ilya Katsev & Gerard van der Laan, 2008. "An Algorithm for Computing the Nucleolus of Disjunctive Additive Games with An Acyclic Permission Structure," Tinbergen Institute Discussion Papers 08-104/1, Tinbergen Institute.
    57. René Brink, 2017. "Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 1-33, April.
    58. C. Manuel & D. Martín, 2021. "A value for communication situations with players having different bargaining abilities," Annals of Operations Research, Springer, vol. 301(1), pages 161-182, June.
    59. Takayuki Oishi & Gerard van der Laan & René van den Brink, 2023. "Axiomatic analysis of liability problems with rooted-tree networks in tort law," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 229-258, January.
    60. Emilio Calvo & Esther Gutiérrez-López, 2015. "The value in games with restricted cooperation," Discussion Papers in Economic Behaviour 0115, University of Valencia, ERI-CES.
    61. van den Brink, René & Katsev, Ilya & van der Laan, Gerard, 2010. "An algorithm for computing the nucleolus of disjunctive non-negative additive games with an acyclic permission structure," European Journal of Operational Research, Elsevier, vol. 207(2), pages 817-826, December.
    62. Erfang Shan, 2023. "Marginality and a Characterization of the Owen Graph value," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(2), pages 451-461, June.
    63. van den Brink, J.R. & Ruys, P.H.M. & Semenov, R., 1999. "Governance of Clubs and Firms with Cultural Dimensions," Other publications TiSEM 8881e73a-6461-48c2-a60b-a, Tilburg University, School of Economics and Management.
    64. René van den Brink & Frank Steffen, 2007. "Positional Power in Hierarchies," Tinbergen Institute Discussion Papers 07-038/1, Tinbergen Institute.
    65. Derks, Jean, 2018. "The Shapley value of conjunctive-restricted games," Games and Economic Behavior, Elsevier, vol. 108(C), pages 146-151.
    66. Takayuki Oishi & Gerard van der Laan & René van den Brink, 2018. "The Tort Law and the Nucleolus for Generalized Joint Liability Problems," Discussion Papers 37, Meisei University, School of Economics.
    67. Hao Wu & Rene van den Brink & Arantza Estevez-Fernandez, 2022. "Highway toll allocation," Tinbergen Institute Discussion Papers 22-036/II, Tinbergen Institute.
    68. Encarnacion Algaba & Rene van den Brink, 2019. "The Shapley Value and Games with Hierarchies," Tinbergen Institute Discussion Papers 19-064/II, Tinbergen Institute.
    69. René van den Brink & Gerard van der Laan & Valeri Vasil'ev, 0000. "The Restricted Core for Totally Positive Games with Ordered Players," Tinbergen Institute Discussion Papers 09-038/1, Tinbergen Institute.
    70. van den Brink, J.R. & Ruys, P.H.M., 2005. "Technological Change, Wages and Firm Size," Discussion Paper 2005-022, Tilburg University, Tilburg Law and Economic Center.
    71. Encarnación Algaba & René Brink & Chris Dietz, 2018. "Network Structures with Hierarchy and Communication," Journal of Optimization Theory and Applications, Springer, vol. 179(1), pages 265-282, October.
    72. van den Brink, René & van der Laan, Gerard & Vasil'ev, Valeri, 2008. "Extreme points of two digraph polytopes: Description and applications in economics and game theory," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1114-1125, December.
    73. Slikker, M. & Gilles, R.P. & Norde, H.W. & Tijs, S.H., 2000. "Directed Communication Networks," Other publications TiSEM 00f2df6e-3a8e-4ed3-84cf-2, Tilburg University, School of Economics and Management.
    74. Florian Navarro, 2019. "Necessary players, Myerson fairness and the equal treatment of equals," Post-Print hal-02118370, HAL.
    75. Rene van den Brink & Chris Dietz, 2012. "Games with a Local Permission Structure: Separation of Authority and Value Generation," Tinbergen Institute Discussion Papers 12-126/II, Tinbergen Institute.
    76. Mikel Álvarez-Mozos & René van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games," Tinbergen Institute Discussion Papers 15-072/II, Tinbergen Institute.
    77. Encarnación Algaba & Rene van den Brink & Chris Dietz, 2013. "Cooperative Games on Accessible Union Stable Systems," Tinbergen Institute Discussion Papers 13-207/II, Tinbergen Institute.
    78. Slikker, Marco & Gilles, Robert P. & Norde, Henk & Tijs, Stef, 2005. "Directed networks, allocation properties and hierarchy formation," Mathematical Social Sciences, Elsevier, vol. 49(1), pages 55-80, January.
    79. Suzuki, T., 2015. "Solutions for cooperative games with and without transferable utility," Other publications TiSEM 9bd876f2-c055-4d01-95f0-c, Tilburg University, School of Economics and Management.
    80. David Lowing, 2023. "Cost allocation in energy distribution networks," Working Papers hal-03680156, HAL.
    81. René Brink & Ilya Katsev & Gerard Laan, 2011. "A polynomial time algorithm for computing the nucleolus for a class of disjunctive games with a permission structure," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 591-616, August.
    82. van den Brink, J.R. & Ruys, P.H.M., 2005. "Technological Change, Wages and Firm Size," Other publications TiSEM 98a153c9-4986-4d03-b695-c, Tilburg University, School of Economics and Management.
    83. Algaba, A. & Bilbao, J.M. & van den Brink, J.R. & Jiménez-Losada, A., 2000. "Cooperative Games on Antimatroids," Discussion Paper 2000-124, Tilburg University, Center for Economic Research.
    84. Dongshuang Hou & Yifan Feng & Panfei Sun & Hao Sun, 2024. "Sharing the cost of the polluted river: a class of bilateral compensation methods," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 46(4), pages 1241-1264, December.
    85. René van den Brink & Ilya Katsev & Gerard van der Laan, 2008. "Computation of the Nucleolus for a Class of Disjunctive Games with a Permission Structure," Tinbergen Institute Discussion Papers 08-060/1, Tinbergen Institute.

  66. René van den Brink & Gerard van der Laan & Valeri Vasil'ev, 0000. "The Restricted Core for Totally Positive Games with Ordered Players," Tinbergen Institute Discussion Papers 09-038/1, Tinbergen Institute.

    Cited by:

    1. Sylvain Béal & Stéphane Gonzalez & Philippe Solal & Peter Sudhölter, 2022. "Axiomatic characterizations of the core without consistency," Working Papers hal-04222384, HAL.

  67. René van den Brink & Robert P. Gilles, 0000. "The Outflow Ranking Method for Weighted Directed Graphs," Tinbergen Institute Discussion Papers 06-044/1, Tinbergen Institute.

    Cited by:

    1. René van den Brink & Agnieszka Rusinowska, 2019. "The Degree Ratio Ranking Method for Directed Networks," Post-Print halshs-02143874, HAL.
    2. Gabrielle Demange, 2016. "Mutual rankings," PSE Working Papers halshs-01353825, HAL.
    3. René van den Brink & Agnieszka Rusinowska, 2022. "The degree measure as utility function over positions in graphs and digraphs," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-03513560, HAL.
    4. Csató, László & Petróczy, Dóra Gréta, 2021. "On the monotonicity of the eigenvector method," European Journal of Operational Research, Elsevier, vol. 292(1), pages 230-237.
    5. Rene (J.R.) van den Brink & Agnieszka Rusinowska, 2017. "The Degree Measure as Utility Function over Positions in Networks," Tinbergen Institute Discussion Papers 17-065/II, Tinbergen Institute.
    6. Gabrielle Demange, 2014. "A ranking method based on handicaps," PSE-Ecole d'économie de Paris (Postprint) halshs-01109087, HAL.
    7. Du, Feng & Zhang, Jiangfeng & Li, Hailong & Yan, Jinyue & Galloway, Stuart & Lo, Kwok L., 2016. "Modelling the impact of social network on energy savings," Applied Energy, Elsevier, vol. 178(C), pages 56-65.
    8. Daniela Bubboloni & Michele Gori, 2018. "The flow network method," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(4), pages 621-656, December.
    9. René van den Brink & Agnieszka Rusinowska, 2021. "The degree ratio ranking method for directed graphs," Post-Print hal-03153475, HAL.
    10. Csató, László, 2017. "European qualifiers to the 2018 FIFA World Cup can be manipulated," MPRA Paper 82652, University Library of Munich, Germany.
    11. László Csató, 2018. "Characterization of the Row Geometric Mean Ranking with a Group Consensus Axiom," Group Decision and Negotiation, Springer, vol. 27(6), pages 1011-1027, December.
    12. René Van Den Brink & Agnieszka Rusinowska, 2023. "Degree Centrality, von Neumann-Morgenstern Expected Utility and Externalities in Networks," Documents de travail du Centre d'Economie de la Sorbonne 23012r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Jun 2024.

Articles

  1. René Brink & Chris Dietz & Gerard Laan & Genjiu Xu, 2017. "Comparable characterizations of four solutions for permission tree games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(4), pages 903-923, April.
    See citations under working paper version above.
  2. René Brink & Youngsub Chun & Yukihiko Funaki & Boram Park, 2016. "Consistency, population solidarity, and egalitarian solutions for TU-games," Theory and Decision, Springer, vol. 81(3), pages 427-447, September.
    See citations under working paper version above.
  3. Hans Peters & Judith Timmer & Rene van den Brink, 2016. "Power on digraphs," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 26(2), pages 107-125.
    See citations under working paper version above.
  4. René Brink & P. Herings & Gerard Laan & A. Talman, 2015. "The Average Tree permission value for games with a permission tree," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 99-123, January.
    See citations under working paper version above.
  5. E. Algaba & J. Bilbao & R. Brink, 2015. "Harsanyi power solutions for games on union stable systems," Annals of Operations Research, Springer, vol. 225(1), pages 27-44, February.
    See citations under working paper version above.
  6. René Brink & Gerard Laan & Nigel Moes, 2015. "Values for transferable utility games with coalition and graph structure," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(1), pages 77-99, April.

    Cited by:

    1. Mario Guajardo & Kurt Jörnsten & Mikael Rönnqvist, 2016. "Constructive and blocking power in collaborative transportation," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(1), pages 25-50, January.
    2. Zijun Li & Fanyong Meng, 2023. "The α-Egalitarian Myerson value of games with communication structure," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 97(3), pages 311-338, June.
    3. Zhang, Guang, 2018. "Allocation rules for cooperative games with graph and hypergraph communication structure," Other publications TiSEM 10431594-5325-4503-bdb0-0, Tilburg University, School of Economics and Management.
    4. Jilei Shi & Lei Cai & Erfang Shan & Wenrong Lyu, 2022. "A value for cooperative games with coalition and probabilistic graph structures," Journal of Combinatorial Optimization, Springer, vol. 43(3), pages 646-671, April.
    5. Xun-Feng Hu & Deng-Feng Li, 2021. "The Equal Surplus Division Value for Cooperative Games with a Level Structure," Group Decision and Negotiation, Springer, vol. 30(6), pages 1315-1341, December.
    6. J. M. Alonso-Meijide & J. Costa & I. García-Jurado & J. C. Gonçalves-Dosantos, 2020. "On egalitarian values for cooperative games with a priori unions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(3), pages 672-688, October.

  7. van den Brink, René & Pintér, Miklós, 2015. "On axiomatizations of the Shapley value for assignment games," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 110-114.
    See citations under working paper version above.
  8. René Brink & Yukihiko Funaki, 2015. "Implementation and axiomatization of discounted Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 329-344, September.

    Cited by:

    1. Michela Chessa & Nobuyuki Hanaki & Aymeric Lardon & Takashi Yamada, 2022. "The effect of choosing a proposer through a bidding procedure in implementing the Shapley value," Post-Print hal-03907377, HAL.
    2. Sylvain Béal & Eric Rémila & Philippe Solal, 2017. "Axiomatization and implementation of a class of solidarity values for TU-games," Post-Print halshs-01446583, HAL.
    3. Wenzhong Li & Genjiu Xu & Rong Zou & Dongshuang Hou, 2022. "The allocation of marginal surplus for cooperative games with transferable utility," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(2), pages 353-377, June.
    4. Sylvain Béal & Eric Rémila & Philippe Solal, 2017. "Discounted Tree Solutions," Post-Print halshs-01413007, HAL.
    5. Surajit Borkotokey & Loyimee Gogoi & Dhrubajit Choudhury & Rajnish Kumar, 2022. "Solidarity induced by group contributions: the MI $$^k$$ k -value for transferable utility games," Operational Research, Springer, vol. 22(2), pages 1267-1290, April.
    6. Wenna Wang & René van den Brink & Hao Sun & Genjiu Xu & Zhengxing Zou, 2022. "On $$\alpha $$ α -constant-sum games," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(2), pages 279-291, June.
    7. Borkotokey, Surajit & Choudhury, Dhrubajit & Kumar, Rajnish & Sarangi, Sudipta, 2020. "Consolidating Marginalism and Egalitarianism: A New Value for Transferable Utility Games," QBS Working Paper Series 2020/12, Queen's University Belfast, Queen's Business School.
    8. Marco Rogna, 2020. "The Burning Coalition Bargaining Model," BEMPS - Bozen Economics & Management Paper Series BEMPS69, Faculty of Economics and Management at the Free University of Bozen.
    9. Jun Su & Yuan Liang & Guangmin Wang & Genjiu Xu, 2020. "Characterizations, Potential, and an Implementation of the Shapley-Solidarity Value," Mathematics, MDPI, vol. 8(11), pages 1-20, November.
    10. Koji Yokote & Yukihiko Funaki & Yoshio Kamijo, 2015. "A new basis and the Shapley value," Working Papers 1418, Waseda University, Faculty of Political Science and Economics.
    11. Calvo, Emilio & Gutiérrez-López, Esther, 2021. "Recursive and bargaining values," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 97-106.
    12. Yokote, Koji & Kongo, Takumi & Funaki, Yukihiko, 2018. "The balanced contributions property for equal contributors," Games and Economic Behavior, Elsevier, vol. 108(C), pages 113-124.
    13. Emilio Calvo Ramón & Esther Gutiérrez-López, 2022. "The equal collective gains value in cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(1), pages 249-278, March.
    14. Wenna Wang & Rene van den Brink & Hao Sun & Genjiu Xu & Zhengxing Zou, "undated". "The alpha-constant-sum games," Tinbergen Institute Discussion Papers 19-022/II, Tinbergen Institute.
    15. Rong Zou & Wenzhong Li & Marc Uetz & Genjiu Xu, 2023. "Two-step Shapley-solidarity value for cooperative games with coalition structure," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 45(1), pages 1-25, March.
    16. Borkotokey, Surajit & Choudhury, Dhrubajit & Gogoi, Loyimee & Kumar, Rajnish, 2020. "Group contributions in TU-games: A class of k-lateral Shapley values," European Journal of Operational Research, Elsevier, vol. 286(2), pages 637-648.

  9. Ju, Yuan & Chun, Youngsub & van den Brink, René, 2014. "Auctioning and selling positions: A non-cooperative approach to queueing conflicts," Journal of Economic Theory, Elsevier, vol. 153(C), pages 33-45.
    See citations under working paper version above.
  10. René Brink & Chris Dietz, 2014. "Games with a local permission structure: separation of authority and value generation," Theory and Decision, Springer, vol. 76(3), pages 343-361, March.
    See citations under working paper version above.
  11. van den Brink, René & González-Arangüena, Enrique & Manuel, Conrado & del Pozo, Mónica, 2014. "Order monotonic solutions for generalized characteristic functions," European Journal of Operational Research, Elsevier, vol. 238(3), pages 786-796.
    See citations under working paper version above.
  12. René Brink & Arantza Estévez-Fernández & Gerard Laan & Nigel Moes, 2014. "Independence of downstream and upstream benefits in river water allocation problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 173-194, June.

    Cited by:

    1. Yuzhi Yang & Erik Ansink & Jens Gudmundsson, 2023. "How to Pollute a River If You Must," Tinbergen Institute Discussion Papers 23-036/VIII, Tinbergen Institute, revised 01 Jun 2024.
    2. Yuzhi Yang & Erik Ansink, 2022. "The river pollution claims problem," Tinbergen Institute Discussion Papers 22-058/VIII, Tinbergen Institute.
    3. René van den Brink & Simin He & Jia-Ping Huang, 2015. "Polluted River Problems and Games with a Permission Structure," Tinbergen Institute Discussion Papers 15-108/II, Tinbergen Institute.
    4. Ricardo Martinez & Juan D. Moreno-Ternero, 2024. "Fair allocation of riparian water rights," Papers 2407.14623, arXiv.org.
    5. Lea Melnikovová, 2017. "Can Game Theory Help to Mitigate Water Conflicts in the Syrdarya Basin?," Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, Mendel University Press, vol. 65(4), pages 1393-1401.
    6. Dongshuang Hou & Aymeric Lardon & Panfei Sun & Genjiu Xu, 2019. "Sharing a Polluted River under Waste Flow Control," GREDEG Working Papers 2019-23, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    7. Harold Houba & Erik Ansink, 2013. "Sustainable Agreements on Stochastic River Flow," Tinbergen Institute Discussion Papers 13-182/II, Tinbergen Institute.
    8. Erik Ansink & Carmen Marchiori, 2009. "Reallocating Water: An Application of Sequent," Working Papers 2009.126, Fondazione Eni Enrico Mattei.
    9. Erik Ansink & Harold Houba, 2014. "The Economics of Transboundary River Management," Tinbergen Institute Discussion Papers 14-132/VIII, Tinbergen Institute.
    10. van den Brink, René & He, Simin & Huang, Jia-Ping, 2018. "Polluted river problems and games with a permission structure," Games and Economic Behavior, Elsevier, vol. 108(C), pages 182-205.
    11. Ansink, Erik & Weikard, Hans-Peter, 2013. "Composition properties in the river claims problem," MPRA Paper 51618, University Library of Munich, Germany.
    12. Ansink, Erik & Marchiori, Carmen, 2009. "Reallocating Water: An Application of Sequential Sharing Rules to Cyprus," Sustainable Development Papers 56222, Fondazione Eni Enrico Mattei (FEEM).

  13. René Brink & Gerard Laan & Valeri Vasil’ev, 2014. "Constrained core solutions for totally positive games with ordered players," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 351-368, May.

    Cited by:

    1. Sylvain Béal & Sylvain Ferrières & Philippe Solal, 2020. "The Priority Value for Cooperative Games with a Priority Structure," Working Papers 2020-02, CRESE.
    2. Manfred Besner, 2020. "Parallel axiomatizations of weighted and multiweighted Shapley values, random order values, and the Harsanyi set," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(1), pages 193-212, June.
    3. Gustavo Berganti~nos & Juan D. Moreno-Ternero, 2023. "Revenue sharing at music streaming platforms," Papers 2310.11861, arXiv.org.
    4. Manfred Besner, 2020. "Value dividends, the Harsanyi set and extensions, and the proportional Harsanyi solution," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(3), pages 851-873, September.
    5. Thomas Demuynck & Bram De Rock & Victor Ginsburgh, 2015. "The Transfer Paradox in Welfare Space," Working Papers ECARES ECARES 2015-01, ULB -- Universite Libre de Bruxelles.
    6. Sylvain Béal & Sylvain Ferrières & Adriana Navarro‐Ramos & Philippe Solal, 2023. "Axiomatic characterizations of the family of Weighted priority values," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(4), pages 787-816, December.
    7. Pierre Dehez, 2017. "On Harsanyi Dividends and Asymmetric Values," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 1-36, September.
    8. Jorge Alcalde-Unzu & María Gómez-Rúa & Elena Molis, 2021. "Allocating the costs of cleaning a river: expected responsibility versus median responsibility," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 185-214, March.
    9. van den Brink, René & He, Simin & Huang, Jia-Ping, 2018. "Polluted river problems and games with a permission structure," Games and Economic Behavior, Elsevier, vol. 108(C), pages 182-205.
    10. Mikel Álvarez-Mozos & Rene van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games with Hierarchical Structure," CER-ETH Economics working paper series 15/215, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    11. Koji Yokote & Yukihiko Funaki & Yoshio Kamijo, 2015. "A new basis and the Shapley value," Working Papers 1418, Waseda University, Faculty of Political Science and Economics.
    12. Besner, Manfred, 2019. "Value dividends, the Harsanyi set and extensions, and the proportional Harsanyi payoff," MPRA Paper 92247, University Library of Munich, Germany.
    13. Mikel Álvarez-Mozos & René van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games," Tinbergen Institute Discussion Papers 15-072/II, Tinbergen Institute.

  14. van den Brink, René & Funaki, Yukihiko & van der Laan, Gerard, 2013. "Characterization of the Reverse Talmud bankruptcy rule by Exemption and Exclusion properties," European Journal of Operational Research, Elsevier, vol. 228(2), pages 413-417.

    Cited by:

    1. Juan D. Moreno-Ternero & Juan Vidal-Puga, 2020. "Aggregator Operators for Dynamic Rationing," Working Papers 20.01, Universidad Pablo de Olavide, Department of Economics.
    2. Zhengxing Zou & Rene van den Brink, 2020. "Sharing the Surplus and Proportional Values," Tinbergen Institute Discussion Papers 20-014/II, Tinbergen Institute.
    3. Alcalde, José & Peris, Josep E., 2022. "Mixing solutions for claims problems," Mathematical Social Sciences, Elsevier, vol. 115(C), pages 78-87.
    4. Valencia-Toledo, Alfredo & Vidal-Puga, Juan, 2017. "Duality in land rental problems," MPRA Paper 80509, University Library of Munich, Germany.
    5. Ricardo Martínez & Juan D. Moreno-Ternero, 2022. "Compensation and sacrifice in the probabilistic rationing of indivisible units," Working Papers 22.01, Universidad Pablo de Olavide, Department of Economics.
    6. René Brink & Juan D. Moreno-Ternero, 2017. "The reverse TAL-family of rules for bankruptcy problems," Annals of Operations Research, Springer, vol. 254(1), pages 449-465, July.
    7. Yang Zheng & Xuefeng Sang & Zhiwu Liu & Siqi Zhang & Pan Liu, 2022. "Water Allocation Management Under Scarcity: a Bankruptcy Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(9), pages 2891-2912, July.
    8. Zhengxing Zou & René Brink & Yukihiko Funaki, 2022. "Sharing the surplus and proportional values," Theory and Decision, Springer, vol. 93(1), pages 185-217, July.
    9. Arin, J. & Benito-Ostolaza, J. & Inarra, E., 2017. "The reverse Talmud family of rules for bankruptcy Problems: A characterization," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 43-49.
    10. Juan D. Moreno-Ternero, 2017. "A Talmudic approach to bankruptcy problems," LIDAM Reprints CORE 2914, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    12. Chatterjee, Siddhartha & Ertemel, Sinan & Kumar, Rajnish, 2021. "Parametric Rules for State Contingent Claims," QBS Working Paper Series 2021/03, Queen's University Belfast, Queen's Business School.
    13. Juan D. Moreno‐Ternero & Min‐Hung Tsay & Chun‐Hsien Yeh, 2022. "Strategic justifications of the TAL family of rules for bankruptcy problems," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 92-102, March.
    14. José, Alcalde & Peris, Josep E., 2020. "Mixing Solutions in Claims Problems," QM&ET Working Papers 20-3, University of Alicante, D. Quantitative Methods and Economic Theory.
    15. Josep Maria Izquierdo Aznar & Pere Timoner Lledó, 2016. "Constrained multi-issue rationing problems," UB School of Economics Working Papers 2016/347, University of Barcelona School of Economics.

  15. C. Manuel & E. González-Arangüena & R. Brink, 2013. "Players indifferent to cooperate and characterizations of the Shapley value," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 77(1), pages 1-14, February.
    See citations under working paper version above.
  16. van den Brink, René & van der Laan, Gerard & Moes, Nigel, 2013. "A strategic implementation of the Average Tree solution for cycle-free graph games," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2737-2748.
    See citations under working paper version above.
  17. Álvarez-Mozos, M. & van den Brink, R. & van der Laan, G. & Tejada, O., 2013. "Share functions for cooperative games with levels structure of cooperation," European Journal of Operational Research, Elsevier, vol. 224(1), pages 167-179.
    See citations under working paper version above.
  18. René Brink & Yukihiko Funaki & Yuan Ju, 2013. "Reconciling marginalism with egalitarianism: consistency, monotonicity, and implementation of egalitarian Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 693-714, March.

    Cited by:

    1. Sylvain Béal & André Casajus & Eric Rémila & Philippe Solal, 2021. "Cohesive efficiency in TU-games: axiomatizations of variants of the Shapley value, egalitarian values and their convex combinations," Annals of Operations Research, Springer, vol. 302(1), pages 23-47, July.
    2. René Brink & Yukihiko Funaki, 2015. "Implementation and axiomatization of discounted Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 329-344, September.
    3. Niharika Kakoty & Surajit Borkotokey & Rajnish Kumar & Abhijit Bora, 2024. "Weighted Myerson value for Network games," Papers 2402.11464, arXiv.org.
    4. Sylvain Béal & Eric Rémila & Philippe Solal, 2015. "A class of solidarity allocation rules for TU-games," Working Papers hal-01376906, HAL.
    5. Sylvain Béal & Eric Rémila & Philippe Solal, 2017. "A strategic implementation of the sequential equal surplus division rule for digraph cooperative games," Post-Print halshs-01381379, HAL.
    6. Michela Chessa & Nobuyuki Hanaki & Aymeric Lardon & Takashi Yamada, 2022. "The effect of choosing a proposer through a bidding procedure in implementing the Shapley value," Post-Print hal-03907377, HAL.
    7. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2021. "Monotonicity in sharing the revenues from broadcasting sports leagues," MPRA Paper 105643, University Library of Munich, Germany.
    8. Rene van den Brink & Gerard van der Laan & Nigel Moes, 2012. "A Strategic Implementation of the Average Tree Solution for Cycle-Free Graph Games," Tinbergen Institute Discussion Papers 12-050/1, Tinbergen Institute.
    9. Sylvain Béal & Eric Rémila & Philippe Solal, 2017. "Axiomatization and implementation of a class of solidarity values for TU-games," Post-Print halshs-01446583, HAL.
    10. Wenzhong Li & Genjiu Xu & Rong Zou & Dongshuang Hou, 2022. "The allocation of marginal surplus for cooperative games with transferable utility," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(2), pages 353-377, June.
    11. Koji Yokote & Yukihiko Funaki, 2015. "Weak Surplus Mononicity characterizes convex combination of egalitarian Shapley value and Consensus value," Working Papers 1504, Waseda University, Faculty of Political Science and Economics.
    12. Zijun Li & Fanyong Meng, 2023. "The α-Egalitarian Myerson value of games with communication structure," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 97(3), pages 311-338, June.
    13. Wenna Wang & Hao Sun & René Brink & Genjiu Xu, 2019. "The Family of Ideal Values for Cooperative Games," Journal of Optimization Theory and Applications, Springer, vol. 180(3), pages 1065-1086, March.
    14. Abe, Takaaki & Nakada, Satoshi, 2023. "The in-group egalitarian Owen values," Games and Economic Behavior, Elsevier, vol. 142(C), pages 1-16.
    15. Zeguang Cui & Erfang Shan & Wenrong Lyu, 2024. "Differential marginality, inessential games and convex combinations of values," Theory and Decision, Springer, vol. 96(3), pages 463-475, May.
    16. Manfred Besner, 2020. "Parallel axiomatizations of weighted and multiweighted Shapley values, random order values, and the Harsanyi set," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(1), pages 193-212, June.
    17. Surajit Borkotokey & Loyimee Gogoi & Dhrubajit Choudhury & Rajnish Kumar, 2022. "Solidarity induced by group contributions: the MI $$^k$$ k -value for transferable utility games," Operational Research, Springer, vol. 22(2), pages 1267-1290, April.
    18. Pedro Calleja & Francesc Llerena, 2017. "Rationality, aggregate monotonicity and consistency in cooperative games: some (im)possibility results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 197-220, January.
    19. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2022. "On the axiomatic approach to sharing the revenues from broadcasting sports leagues," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 321-347, February.
    20. Rong Zou & Genjiu Xu & Wenzhong Li & Xunfeng Hu, 2020. "A coalitional compromised solution for cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(4), pages 735-758, December.
    21. Abe, Takaaki, 2024. "Equal surplus sharing values for games with coalition structures," Economics Letters, Elsevier, vol. 240(C).
    22. Rene (J.R.) van den Brink & Marina Nunez & Francisco Robles, 2018. "Valuation Monotonicity, Fairness and Stability in Assignment Problems," Tinbergen Institute Discussion Papers 18-071/II, Tinbergen Institute.
    23. Koji Yokote & Takumi Kongo & Yukihiko Funaki, 2019. "Relationally equal treatment of equals and affine combinations of values for TU games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(2), pages 197-212, August.
    24. David Lowing & Kevin Techer, 2021. "Marginalism, Egalitarianism and Efficiency in Multi-Choice Games," Working Papers 2115, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    25. Borkotokey, Surajit & Choudhury, Dhrubajit & Kumar, Rajnish & Sarangi, Sudipta, 2020. "Consolidating Marginalism and Egalitarianism: A New Value for Transferable Utility Games," QBS Working Paper Series 2020/12, Queen's University Belfast, Queen's Business School.
    26. Alfredo Valencia-Toledo & Juan Vidal-Puga, 2020. "Reassignment-proof rules for land rental problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 173-193, March.
    27. Takumi Kongo, 2018. "Effects of Players’ Nullification and Equal (Surplus) Division Values," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(01), pages 1-14, March.
    28. Takumi Kongo, 2024. "Equal support from others for unproductive players: efficient and linear values that satisfy the equal treatment and weak null player out properties for cooperative games," Annals of Operations Research, Springer, vol. 338(2), pages 973-989, July.
    29. Ramón Flores & Elisenda Molina & Juan Tejada, 2014. "Pyramidal values," Annals of Operations Research, Springer, vol. 217(1), pages 233-252, June.
    30. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2022. "Lexicographic solutions for coalitional rankings based on individual and collective performances," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    31. Marco Rogna, 2020. "The Burning Coalition Bargaining Model," BEMPS - Bozen Economics & Management Paper Series BEMPS69, Faculty of Economics and Management at the Free University of Bozen.
    32. Valencia-Toledo, Alfredo & Vidal-Puga, Juan, 2015. "Non-manipulable rules for land rental problems," MPRA Paper 67334, University Library of Munich, Germany.
    33. Sylvain Béal & Eric Rémila & Philippe Solal, 2019. "Coalitional desirability and the equal division value," Theory and Decision, Springer, vol. 86(1), pages 95-106, February.
    34. Rene van den Brink & Youngsub Chun & Yukihiko Funaki & Boram Park, 2012. "Consistency, Population Solidarity, and Egalitarian Solutions for TU-Games," Tinbergen Institute Discussion Papers 12-136/II, Tinbergen Institute.
    35. Norman Kleinberg, 2015. "A note on the Sobolev consistency of linear symmetric values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(4), pages 765-779, April.
    36. Panfei Sun & Dongshuang Hou & Hao Sun & Hui Zhang, 2017. "Process and optimization implementation of the $$\alpha $$ α -ENSC value," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(2), pages 293-308, October.
    37. Zhang, Li & Xu, Genjiu & Sun, Hao & Li, Wenzhong, 2023. "Players’ dummification and the dummified egalitarian non-separable contribution value," Economics Letters, Elsevier, vol. 226(C).
    38. Koji Yokote & Takumi Kongo & Yukihiko Funaki, 2021. "Redistribution to the less productive: parallel characterizations of the egalitarian Shapley and consensus values," Theory and Decision, Springer, vol. 91(1), pages 81-98, July.
    39. David Lowing & Kevin Techer, 2021. "Marginalism, Egalitarianism and E ciency in Multi-Choice Games," Working Papers halshs-03334056, HAL.
    40. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2019. "Allocating extra revenues from broadcasting sports leagues," MPRA Paper 97413, University Library of Munich, Germany.
    41. G. Bergantiños & Juan D. Moreno-Ternero, 2024. "Anonymity in sharing the revenues from broadcasting sports leagues," Annals of Operations Research, Springer, vol. 336(3), pages 1395-1417, May.
    42. Jun Su & Yuan Liang & Guangmin Wang & Genjiu Xu, 2020. "Characterizations, Potential, and an Implementation of the Shapley-Solidarity Value," Mathematics, MDPI, vol. 8(11), pages 1-20, November.
    43. Emilio Calvo & Esther Gutiérrez, 2012. "Weighted Solidarity Values," Discussion Papers in Economic Behaviour 0212, University of Valencia, ERI-CES.
    44. Besner, Manfred, 2019. "Parallel axiomatizations of weighted and multiweighted Shapley values, random order values, and the Harsanyi set," MPRA Paper 92771, University Library of Munich, Germany.
    45. Surajit Borkotokey & Sujata Goala & Niharika Kakoty & Parishmita Boruah, 2022. "The component-wise egalitarian Myerson value for Network Games," Papers 2201.02793, arXiv.org.
    46. Casajus, André & Yokote, Koji, 2017. "Weak differential marginality and the Shapley value," Journal of Economic Theory, Elsevier, vol. 167(C), pages 274-284.
    47. Marcin Malawski, 2013. "“Procedural” values for cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(1), pages 305-324, February.
    48. Tadeusz Radzik, 2017. "On an extension of the concept of TU-games and their values," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(1), pages 149-170, August.
    49. Takanashi, Seiji, 2024. "Analysis of the core under inequality-averse utility functions," Mathematical Social Sciences, Elsevier, vol. 129(C), pages 52-60.
    50. Tadeusz Radzik & Theo Driessen, 2016. "Modeling values for TU-games using generalized versions of consistency, standardness and the null player property," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 83(2), pages 179-205, April.
    51. André Casajus & Koji Yokote, 2019. "Weakly differentially monotonic solutions for cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(3), pages 979-997, September.
    52. Calvo, Emilio & Gutiérrez-López, Esther, 2021. "Recursive and bargaining values," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 97-106.
    53. Yokote, Koji & Kongo, Takumi & Funaki, Yukihiko, 2018. "The balanced contributions property for equal contributors," Games and Economic Behavior, Elsevier, vol. 108(C), pages 113-124.
    54. Norman L. Kleinberg, 2018. "A note on associated consistency and linear, symmetric values," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(3), pages 913-925, September.
    55. Casajus, André & Huettner, Frank, 2014. "Weakly monotonic solutions for cooperative games," Journal of Economic Theory, Elsevier, vol. 154(C), pages 162-172.
    56. Takaaki Abe & Satoshi Nakada, 2019. "The weighted-egalitarian Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(2), pages 197-213, February.
    57. Hu, Xun-Feng, 2019. "Coalitional surplus desirability and the equal surplus division value," Economics Letters, Elsevier, vol. 179(C), pages 1-4.
    58. Tomohiko Kawamori, 2016. "Hart–Mas-Colell implementation of the discounted Shapley value," Theory and Decision, Springer, vol. 81(3), pages 357-369, September.
    59. Takaaki Abe & Satoshi Nakada, 2023. "Core stability of the Shapley value for cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(4), pages 523-543, May.
    60. Dhrubajit Choudhury & Surajit Borkotokey & Rajnish Kumar & Sudipta Sarangi, 2021. "The Egalitarian Shapley value: a generalization based on coalition sizes," Annals of Operations Research, Springer, vol. 301(1), pages 55-63, June.
    61. Emilio Calvo & Esther Gutiérrez-López, 2014. "A strategic approach for the discounted Shapley values," Discussion Papers in Economic Behaviour 0414, University of Valencia, ERI-CES.
    62. Rogna, Marco, 2021. "The central core and the mid-central core as novel set-valued and point-valued solution concepts for transferable utility coalitional games," Mathematical Social Sciences, Elsevier, vol. 109(C), pages 1-11.
    63. Estela Sánchez-Rodríguez & Miguel Ángel Mirás Calvo & Carmen Quinteiro Sandomingo & Iago Núñez Lugilde, 2024. "Coalition-weighted Shapley values," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(2), pages 547-577, June.
    64. Borkotokey, Surajit & Choudhury, Dhrubajit & Gogoi, Loyimee & Kumar, Rajnish, 2020. "Group contributions in TU-games: A class of k-lateral Shapley values," European Journal of Operational Research, Elsevier, vol. 286(2), pages 637-648.
    65. Zou, Zhengxing & Tan, Zhibin, 2023. "Axiomatizations of convex compromise rules for redistribution of non-negative income," Economics Letters, Elsevier, vol. 229(C).
    66. Wenna Wang & Hao Sun & Rene (J.R.) van den Brink & Genjiu Xu, 2018. "The family of ideal values for cooperative games," Tinbergen Institute Discussion Papers 18-002/II, Tinbergen Institute.
    67. Christian Basteck & Frank Huettner, 2023. "Coalitional Manipulations and Immunity of the Shapley Value," Papers 2310.20415, arXiv.org.
    68. Gutiérrez-López, Esther, 2020. "Axiomatic characterizations of the egalitarian solidarity values," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 109-115.
    69. Takaaki Abe & Satoshi Nakada, 2018. "Generalized Potentials, Value, and Core," Discussion Paper Series DP2018-19, Research Institute for Economics & Business Administration, Kobe University.
    70. Surajit Borkotokey & Dhrubajit Choudhury & Rajnish Kumar & Sudipta Sarangi, 2023. "A new value for cooperative games based on coalition size," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(4), pages 830-854, December.
    71. Koji Yokote & Yukihiko Funaki, 2017. "Monotonicity implies linearity: characterizations of convex combinations of solutions to cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(1), pages 171-203, June.

  19. René Brink & Agnieszka Rusinowska & Frank Steffen, 2013. "Measuring power and satisfaction in societies with opinion leaders: an axiomatization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 671-683, September.
    See citations under working paper version above.
  20. van den Brink, René & Khmelnitskaya, Anna & van der Laan, Gerard, 2012. "An efficient and fair solution for communication graph games," Economics Letters, Elsevier, vol. 117(3), pages 786-789.
    See citations under working paper version above.
  21. René Brink & Frank Steffen, 2012. "Axiomatizations of a positional power score and measure for hierarchies," Public Choice, Springer, vol. 151(3), pages 757-787, June.
    See citations under working paper version above.
  22. René Brink, 2012. "On hierarchies and communication," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 721-735, October.
    See citations under working paper version above.
  23. René Brink & Youngsub Chun, 2012. "Balanced consistency and balanced cost reduction for sequencing problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 519-529, March.
    See citations under working paper version above.
  24. van den Brink, René, 2012. "Efficiency and collusion neutrality in cooperative games and networks," Games and Economic Behavior, Elsevier, vol. 76(1), pages 344-348.

    Cited by:

    1. Jeon, Doh-Shin & Menicucci, Domenico, 2014. "Buyer Group and Buyer Power When Sellers Compete," TSE Working Papers 14-543, Toulouse School of Economics (TSE), revised Nov 2017.
    2. Sylvain Béal & Amandine Ghintran & Eric Rémila & Philippe Solal, 2015. "The sequential equal surplus division for rooted forest games and an application to sharing a river with bifurcations," Theory and Decision, Springer, vol. 79(2), pages 251-283, September.
    3. Sylvain Béal & Eric Rémila & Philippe Solal, 2015. "Characterization of the Average Tree solution and its kernel," Post-Print halshs-01212115, HAL.
    4. Khmelnitskaya, A. & van der Laan, G. & Talman, Dolf, 2016. "Centrality Rewarding Shapley and Myerson Values for Undirected Graph Games," Other publications TiSEM f449b907-5e19-4702-b48e-a, Tilburg University, School of Economics and Management.
    5. Philippe Solal & Sylvain Béal & Sylvain Ferrières & Eric Rémila, 2017. "Axiomatic and bargaining foundation of an allocation rule for ordered tree TU-games," Post-Print halshs-01644811, HAL.
    6. Anna Khmelnitskaya & Gerard van der Laan & Dolf Talman, 2016. "Centrality Rewarding Shapley and Myerson Values for Undirected Graph Games," Tinbergen Institute Discussion Papers 16-070/II, Tinbergen Institute.
    7. Liying Kang & Anna Khmelnitskaya & Erfang Shan & Dolf Talman & Guang Zhang, 2021. "The average tree value for hypergraph games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 94(3), pages 437-460, December.
    8. Béal, Sylvain & Ferrières, Sylvain & Rémila, Eric & Solal, Philippe, 2018. "Axiomatization of an allocation rule for ordered tree TU-games," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 132-140.
    9. Jeon, Doh-Shin & Menicucci, Domenico, 2019. "On the unprofitability of buyer groups when sellers compete," Games and Economic Behavior, Elsevier, vol. 115(C), pages 265-288.
    10. Kang, Liying & Khmelnitskaya, Anna & Shan, Erfang & Talman, A.J.J. & Zhang, Guang, 2020. "The Average Tree value for Hypergraph Games," Other publications TiSEM 331f101b-09ee-47d6-afdf-e, Tilburg University, School of Economics and Management.

  25. van den Brink, René & van der Laan, Gerard & Moes, Nigel, 2012. "Fair agreements for sharing international rivers with multiple springs and externalities," Journal of Environmental Economics and Management, Elsevier, vol. 63(3), pages 388-403.
    See citations under working paper version above.
  26. René Brink & Ilya Katsev & Gerard Laan, 2011. "A polynomial time algorithm for computing the nucleolus for a class of disjunctive games with a permission structure," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 591-616, August.

    Cited by:

    1. Tamás Solymosi, 2019. "Weighted nucleoli and dually essential coalitions," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(4), pages 1087-1109, December.
    2. Rene van den Brink & Ilya Katsev & Gerard van der Laan, 2023. "Properties of Solutions for Games on Union-Closed Systems," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
    3. René van den Brink, 2017. "Games with a Permission Structure: a survey on generalizations and applications," Tinbergen Institute Discussion Papers 17-016/II, Tinbergen Institute.
    4. René Brink, 2017. "Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 1-33, April.
    5. Tamás Solymosi, 2019. "Weighted nucleoli and dually essential coalitions (extended version)," CERS-IE WORKING PAPERS 1914, Institute of Economics, Centre for Economic and Regional Studies.

  27. René Brink & Ilya Katsev & Gerard Laan, 2011. "Axiomatizations of two types of Shapley values for games on union closed systems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(1), pages 175-188, May.
    See citations under working paper version above.
  28. René Brink & Gerard Laan & Vitaly Pruzhansky, 2011. "Harsanyi power solutions for graph-restricted games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 87-110, February.
    See citations under working paper version above.
  29. René Brink, 2010. "Axiomatizations of Banzhaf permission values for games with a permission structure," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(3), pages 445-466, July.

    Cited by:

    1. René van den Brink & Agnieszka Rusinowska & Frank Steffen, 2013. "Measuring Power and Satisfaction in Societies with Opinion Leaders," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00756720, HAL.
    2. René van den Brink & Agnieszka Rusinowska & Frank Steffen, 2011. "Measuring Power and Satisfaction in Societies with Opinion Leaders: An Axiomatization," Post-Print halshs-00587726, HAL.
    3. Conrado M. Manuel & Daniel Martín, 2021. "A Monotonic Weighted Banzhaf Value for Voting Games," Mathematics, MDPI, vol. 9(12), pages 1-23, June.
    4. René van den Brink & Agnieszka Rusinowska & Frank Steffen, 2011. "Measuring Power and Satisfaction in Societies with Opinion Leaders: Dictator and Opinion Leader Properties," Post-Print hal-00633881, HAL.
    5. René van den Brink, 2017. "Games with a Permission Structure: a survey on generalizations and applications," Tinbergen Institute Discussion Papers 17-016/II, Tinbergen Institute.
    6. Mikel Álvarez-Mozos & Rene van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games with Hierarchical Structure," CER-ETH Economics working paper series 15/215, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    7. René Brink, 2017. "Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 1-33, April.

  30. van den Brink, René & Katsev, Ilya & van der Laan, Gerard, 2010. "An algorithm for computing the nucleolus of disjunctive non-negative additive games with an acyclic permission structure," European Journal of Operational Research, Elsevier, vol. 207(2), pages 817-826, December.

    Cited by:

    1. Rene van den Brink & Ilya Katsev & Gerard van der Laan, 2023. "Properties of Solutions for Games on Union-Closed Systems," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
    2. Keyzer, Michiel & van Wesenbeeck, Cornelia, 2011. "Optimal coalition formation and surplus distribution: Two sides of one coin," European Journal of Operational Research, Elsevier, vol. 215(3), pages 604-615, December.
    3. René van den Brink, 2017. "Games with a Permission Structure: a survey on generalizations and applications," Tinbergen Institute Discussion Papers 17-016/II, Tinbergen Institute.
    4. Natalia I. Naumova, 2022. "Some solutions for generalized games with restricted cooperation," Annals of Operations Research, Springer, vol. 318(2), pages 1077-1093, November.
    5. René Brink, 2017. "Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 1-33, April.

  31. van den Brink, René & Gilles, Robert P., 2009. "The outflow ranking method for weighted directed graphs," European Journal of Operational Research, Elsevier, vol. 193(2), pages 484-491, March.
    See citations under working paper version above.
  32. René Brink & Yukihiko Funaki, 2009. "Axiomatizations of a Class of Equal Surplus Sharing Solutions for TU-Games," Theory and Decision, Springer, vol. 67(3), pages 303-340, September.

    Cited by:

    1. Robert P. Gilles & Lina Mallozzi, 2022. "Gately Values of Cooperative Games," Papers 2208.10189, arXiv.org, revised Jul 2023.
    2. Zhengxing Zou & Rene van den Brink & Yukihiko Funaki, 2020. "Compromising between the proportional and equal division values: axiomatization, consistency and implementation," Tinbergen Institute Discussion Papers 20-054/II, Tinbergen Institute.
    3. Zhengxing Zou & Rene van den Brink, 2020. "Sharing the Surplus and Proportional Values," Tinbergen Institute Discussion Papers 20-014/II, Tinbergen Institute.
    4. René Brink & Yukihiko Funaki, 2015. "Implementation and axiomatization of discounted Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 329-344, September.
    5. Radzik, Tadeusz & Driessen, Theo, 2013. "On a family of values for TU-games generalizing the Shapley value," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 105-111.
    6. Koji Yokote & Yukihiko Funaki, 2015. "Weak Surplus Mononicity characterizes convex combination of egalitarian Shapley value and Consensus value," Working Papers 1504, Waseda University, Faculty of Political Science and Economics.
    7. Wenna Wang & Hao Sun & René Brink & Genjiu Xu, 2019. "The Family of Ideal Values for Cooperative Games," Journal of Optimization Theory and Applications, Springer, vol. 180(3), pages 1065-1086, March.
    8. Sylvain Béal & Eric Rémila & Philippe Solal, 2017. "Discounted Tree Solutions," Post-Print halshs-01413007, HAL.
    9. Kamijo, Yoshio & Kongo, Takumi, 2012. "Whose deletion does not affect your payoff? The difference between the Shapley value, the egalitarian value, the solidarity value, and the Banzhaf value," European Journal of Operational Research, Elsevier, vol. 216(3), pages 638-646.
    10. Sylvain Béal & Florian Navarro, 2020. "Necessary versus equal players in axiomatic studies," Post-Print hal-03252179, HAL.
    11. Johan Eyckmans & Michael Finus & Lina Mallozziy, 2012. "A New Class of Welfare Maximizing Stable Sharing Rules for Partition Function Games with Externalities," Department of Economics Working Papers 6/12, University of Bath, Department of Economics.
    12. Rene van den Brink & Yukihiko Funaki, 2010. "Axiomatization and Implementation of Discounted Shapley Values," Tinbergen Institute Discussion Papers 10-065/1, Tinbergen Institute.
    13. Valencia-Toledo, Alfredo & Vidal-Puga, Juan, 2017. "Duality in land rental problems," MPRA Paper 80509, University Library of Munich, Germany.
    14. Francesc Carreras & Guillermo Owen, 2016. "Pure Bargaining Problems with a Coalition Structure," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 33(1), pages 93-120, August.
    15. Sylvain Ferrières, 2016. "Nullified equal loss property and equal division values," Working Papers 2016-06, CRESE.
    16. Casajus, André & Huettner, Frank, 2014. "Null, nullifying, or dummifying players: The difference between the Shapley value, the equal division value, and the equal surplus division value," Economics Letters, Elsevier, vol. 122(2), pages 167-169.
    17. Chameni Nembua, Célestin, 2010. "Linear efficient and symmetric values for TU-games: sharing the joint gain of cooperation," MPRA Paper 31249, University Library of Munich, Germany, revised 2010.
    18. Abe, Takaaki, 2024. "Equal surplus sharing values for games with coalition structures," Economics Letters, Elsevier, vol. 240(C).
    19. Zhengxing Zou & René Brink & Yukihiko Funaki, 2022. "Sharing the surplus and proportional values," Theory and Decision, Springer, vol. 93(1), pages 185-217, July.
    20. Koji Yokote & Takumi Kongo & Yukihiko Funaki, 2019. "Relationally equal treatment of equals and affine combinations of values for TU games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(2), pages 197-212, August.
    21. Takumi Kongo, 2018. "Effects of Players’ Nullification and Equal (Surplus) Division Values," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(01), pages 1-14, March.
    22. Takumi Kongo, 2024. "Equal support from others for unproductive players: efficient and linear values that satisfy the equal treatment and weak null player out properties for cooperative games," Annals of Operations Research, Springer, vol. 338(2), pages 973-989, July.
    23. David Wettstein & Ines Macho-Stadler & David Perez-Castrillo, 2016. "Values For Environments With Externalities – The Average Approach," Working Papers 1606, Ben-Gurion University of the Negev, Department of Economics.
    24. Zhengxing Zou & Rene van den Brink & Youngsub Chun & Yukihiko Funaki, 2019. "Axiomatizations of the proportional division value," Tinbergen Institute Discussion Papers 19-072/II, Tinbergen Institute.
    25. Norman Kleinberg & Jeffrey Weiss, 2013. "On membership and marginal values," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 357-373, May.
    26. Sylvain Béal & Eric Rémila & Philippe Solal, 2019. "Coalitional desirability and the equal division value," Theory and Decision, Springer, vol. 86(1), pages 95-106, February.
    27. Rene van den Brink & Youngsub Chun & Yukihiko Funaki & Boram Park, 2012. "Consistency, Population Solidarity, and Egalitarian Solutions for TU-Games," Tinbergen Institute Discussion Papers 12-136/II, Tinbergen Institute.
    28. Panfei Sun & Dongshuang Hou & Hao Sun & Hui Zhang, 2017. "Process and optimization implementation of the $$\alpha $$ α -ENSC value," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(2), pages 293-308, October.
    29. Genjiu Xu & René van den Brink & Gerard van der Laan & Hao Sun, 2012. "Associated Consistency Characterization of Two Linear Values for TU Games by Matrix Approach," Tinbergen Institute Discussion Papers 12-105/II, Tinbergen Institute.
    30. Zhang, Li & Xu, Genjiu & Sun, Hao & Li, Wenzhong, 2023. "Players’ dummification and the dummified egalitarian non-separable contribution value," Economics Letters, Elsevier, vol. 226(C).
    31. Koji Yokote & Takumi Kongo & Yukihiko Funaki, 2021. "Redistribution to the less productive: parallel characterizations of the egalitarian Shapley and consensus values," Theory and Decision, Springer, vol. 91(1), pages 81-98, July.
    32. Yuan Ju & David Wettstein, 2006. "Implementing Cooperative Solution Concepts: a Generalized Bidding Approach," Keele Economics Research Papers KERP 2006/06, Centre for Economic Research, Keele University.
    33. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2015. "Preserving or removing special players: What keeps your payoff unchanged in TU-games?," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 23-31.
    34. Yuan Ju & Peter Borm & Pieter Ruys, 2007. "The consensus value: a new solution concept for cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(4), pages 685-703, June.
    35. Sylvain Ferrières, 2017. "Nullified equal loss property and equal division values," Theory and Decision, Springer, vol. 83(3), pages 385-406, October.
    36. Sylvain Ferrières, 2016. "Smoothness, nullified equal loss property and equal division values," Working Papers 2016-01, CRESE.
    37. Keyzer, Michiel & van Wesenbeeck, Cornelia, 2011. "Optimal coalition formation and surplus distribution: Two sides of one coin," European Journal of Operational Research, Elsevier, vol. 215(3), pages 604-615, December.
    38. Zhengxing Zou & René van den Brink & Yukihiko Funaki, 2024. "On weighted-egalitarian values for cooperative games," Tinbergen Institute Discussion Papers 24-021/II, Tinbergen Institute.
    39. Youngsub Chun & Boram Park, 2012. "Population solidarity, population fair-ranking, and the egalitarian value," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 255-270, May.
    40. Rene van den Brink & Youngsub Chun & Yukihiko Funaki & Zhengxing Zou, 2021. "Balanced Externalities and the Proportional Allocation of Nonseparable Contributions," Tinbergen Institute Discussion Papers 21-024/II, Tinbergen Institute.
    41. Tadeusz Radzik, 2017. "On an extension of the concept of TU-games and their values," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(1), pages 149-170, August.
    42. Sylvain Béal & André Casajus & Frank Huettner & Éric Rémila & Philippe Solal, 2014. "Solidarity within a Fixed Community," Post-Print halshs-01090487, HAL.
    43. Calvo, Emilio & Gutiérrez-López, Esther, 2021. "Recursive and bargaining values," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 97-106.
    44. Zou, Zhengxing & van den Brink, René, 2020. "Equal loss under separatorization and egalitarian values," Economics Letters, Elsevier, vol. 194(C).
    45. Emilio Calvo Ramón & Esther Gutiérrez-López, 2022. "The equal collective gains value in cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(1), pages 249-278, March.
    46. Xun-Feng Hu & Deng-Feng Li, 2021. "The Equal Surplus Division Value for Cooperative Games with a Level Structure," Group Decision and Negotiation, Springer, vol. 30(6), pages 1315-1341, December.
    47. Takumi Kongo, 2020. "Similarities in axiomatizations: equal surplus division value and first-price auctions," Review of Economic Design, Springer;Society for Economic Design, vol. 24(3), pages 199-213, December.
    48. Hu, Xun-Feng, 2019. "Coalitional surplus desirability and the equal surplus division value," Economics Letters, Elsevier, vol. 179(C), pages 1-4.
    49. McQuillin, Ben & Sugden, Robert, 2018. "Balanced externalities and the Shapley value," Games and Economic Behavior, Elsevier, vol. 108(C), pages 81-92.
    50. René van den Brink & Yukihiko Funaki & Yuan Ju, 2007. "Consistency, Monotonicity and Implementation of Egalitarian Shapley Values," Tinbergen Institute Discussion Papers 07-062/1, Tinbergen Institute.
    51. Zou, Zhengxing & van den Brink, René & Funaki, Yukihiko, 2021. "Compromising between the proportional and equal division values," Journal of Mathematical Economics, Elsevier, vol. 97(C).
    52. J. M. Alonso-Meijide & J. Costa & I. García-Jurado & J. C. Gonçalves-Dosantos, 2020. "On egalitarian values for cooperative games with a priori unions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(3), pages 672-688, October.
    53. Oishi, Takayuki & Nakayama, Mikio & Hokari, Toru & Funaki, Yukihiko, 2016. "Duality and anti-duality in TU games applied to solutions, axioms, and axiomatizations," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 44-53.
    54. Wenna Wang & Hao Sun & Rene (J.R.) van den Brink & Genjiu Xu, 2018. "The family of ideal values for cooperative games," Tinbergen Institute Discussion Papers 18-002/II, Tinbergen Institute.
    55. René Brink & Yukihiko Funaki & Yuan Ju, 2013. "Reconciling marginalism with egalitarianism: consistency, monotonicity, and implementation of egalitarian Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 693-714, March.
    56. Gutiérrez-López, Esther, 2020. "Axiomatic characterizations of the egalitarian solidarity values," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 109-115.
    57. Koji Yokote & Yukihiko Funaki, 2017. "Monotonicity implies linearity: characterizations of convex combinations of solutions to cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(1), pages 171-203, June.
    58. Gilles, Robert P. & Mallozzi, Lina, 2022. "Generalised Gately Values of Cooperative Games," QBS Working Paper Series 2022/06, Queen's University Belfast, Queen's Business School.

  33. René Brink & Pieter Ruys, 2008. "Technology driven organizational structure of the firm," Annals of Finance, Springer, vol. 4(4), pages 481-503, October.
    See citations under working paper version above.
  34. René Brink & Peter Borm & Ruud Hendrickx & Guillermo Owen, 2008. "Characterizations of the β- and the Degree Network Power Measure," Theory and Decision, Springer, vol. 64(4), pages 519-536, June.

    Cited by:

    1. Robert P. Gilles & Lina Mallozzi, 2022. "Gately Values of Cooperative Games," Papers 2208.10189, arXiv.org, revised Jul 2023.
    2. Maria Carmela Schisani & Luigi Balletta & Giancarlo Ragozini, 2021. "Crowding out the change: business networks and persisting economic elites in the South of Italy over Unification (1840–1880)," Cliometrica, Journal of Historical Economics and Econometric History, Association Française de Cliométrie (AFC), vol. 15(1), pages 89-131, January.
    3. Agnieszka Rusinowska & Rudolf Berghammer & Harrie de Swart & Michel Grabisch, 2011. "Social networks: Prestige, centrality, and influence (Invited paper)," Post-Print hal-00633859, HAL.
    4. Michel Grabisch & Agnieszka Rusinowska, 2008. "A model of influence in a social network," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00344457, HAL.
    5. Maria Carmela Schisani & Luigi Balletta & Giancarlo Ragozini, 2021. "Crowding out the change: business networks and persisting economic elites in the South of Italy over Unification (1840–1880)," Cliometrica, Springer;Cliometric Society (Association Francaise de Cliométrie), vol. 15(1), pages 89-131, January.
    6. Zhiwei Cui & Yan-An Hwang & Ding-Cheng You, 2021. "Axiomatizations of the $$\beta $$ β and the score measures in networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(2), pages 399-418, June.
    7. Gilles, Robert P. & Mallozzi, Lina, 2022. "Generalised Gately Values of Cooperative Games," QBS Working Paper Series 2022/06, Queen's University Belfast, Queen's Business School.

  35. René Brink, 2008. "Vertical wage differences in hierarchically structured firms," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(2), pages 225-243, February.

    Cited by:

    1. Chakrabarti, Subhadip & Ghintran, Amandine, 2013. "Assignment of Heterogeneous Agents in Trees under the Permission Value," MPRA Paper 49115, University Library of Munich, Germany.
    2. Sylvain Béal & Amandine Ghintran & Eric Rémila & Philippe Solal, 2015. "The sequential equal surplus division for rooted forest games and an application to sharing a river with bifurcations," Theory and Decision, Springer, vol. 79(2), pages 251-283, September.
    3. René van den Brink & Frank Steffen, 2008. "Axiomatizations of a Positional Power Score and Measure for Hierarchies," Tinbergen Institute Discussion Papers 08-115/1, Tinbergen Institute.
    4. Encarnacion Algaba & Rene van den Brink, 2021. "Networks, Communication and Hierarchy: Applications to Cooperative Games," Tinbergen Institute Discussion Papers 21-019/IV, Tinbergen Institute.
    5. Tobias Hiller, 2021. "Hierarchy and the size of a firm," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 68(3), pages 389-404, September.
    6. René Brink, 2017. "Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 1-33, April.
    7. Hiller Tobias, 2021. "Who Bears an Employee’s Special Annual Payment?," Review of Law & Economics, De Gruyter, vol. 17(1), pages 223-237, March.
    8. Rene van den Brink & Chris Dietz, 2012. "Games with a Local Permission Structure: Separation of Authority and Value Generation," Tinbergen Institute Discussion Papers 12-126/II, Tinbergen Institute.

  36. René Brink & Gerard Laan & Valeri Vasil’ev, 2007. "Component efficient solutions in line-graph games with applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(2), pages 349-364, November.

    Cited by:

    1. Erik Ansink & Hans-Peter Weikard, 2012. "Sequential sharing rules for river sharing problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 187-210, February.
    2. Rene van den Brink & Gerard van der Laan & Nigel Moes, 2010. "Fair Agreements for Sharing International Rivers with Multiple Springs and Externalities," Tinbergen Institute Discussion Papers 10-096/1, Tinbergen Institute.
    3. Wu, Hao & van den Brink, René & Estévez-Fernández, Arantza, 2024. "Highway toll allocation," Transportation Research Part B: Methodological, Elsevier, vol. 180(C).
    4. Michel Grabisch, 2010. "Ensuring the boundedness of the core of games with restricted cooperation," Post-Print halshs-00544134, HAL.
    5. Sylvain Béal & Éric Rémila & Philippe Solal, 2012. "Weighted component fairness for forest games," Post-Print halshs-00678832, HAL.
    6. Sylvain Béal & Amandine Ghintran & Eric Rémila & Philippe Solal, 2015. "The sequential equal surplus division for rooted forest games and an application to sharing a river with bifurcations," Theory and Decision, Springer, vol. 79(2), pages 251-283, September.
    7. Ulrich Faigle & Michel Grabisch, 2012. "Values for Markovian coalition processes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(3), pages 505-538, November.
    8. van den Brink, R. & van der Laan, G. & Herings, P.J.J. & Talman, A.J.J., 2015. "The Average Tree permission value for games with a permission tree," Other publications TiSEM 97042492-4b03-4e72-b88d-d, Tilburg University, School of Economics and Management.
    9. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, September.
    10. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2010. "Compensations in the Shapley value and the compensation solutions for graph games," MPRA Paper 20955, University Library of Munich, Germany.
    11. Rene van den Brink & Arantza Estevez-Fernandez & Gerard van der Laan & Nigel Moes, 2011. "Independence Axioms for Water Allocation," Tinbergen Institute Discussion Papers 11-128/1, Tinbergen Institute.
    12. Schouten, Jop, 2022. "Cooperation, allocation and strategy in interactive decision-making," Other publications TiSEM d5d41448-8033-4f6b-8ec0-c, Tilburg University, School of Economics and Management.
    13. Sylvain Béal & Sylvain Ferrières & Philippe Solal, 2020. "The Priority Value for Cooperative Games with a Priority Structure," Working Papers 2020-02, CRESE.
    14. van den Brink, R. & Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2013. "The Average Tree Permission Value for Games with a Permission Tree," Other publications TiSEM 7f82484a-b6d8-4d2e-90cb-8, Tilburg University, School of Economics and Management.
    15. Dongshuang Hou & Aymeric Lardon & Panfei Sun & Genjiu Xu, 2019. "Sharing a Polluted River under Waste Flow Control," GREDEG Working Papers 2019-23, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    16. René Brink, 2019. "Comments on: recent developments in the queueing problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(1), pages 24-27, April.
    17. Ambec, Stefan & Dinar, Ariel & McKinney, Daene, 2013. "Water sharing agreements sustainable to reduced flows," Journal of Environmental Economics and Management, Elsevier, vol. 66(3), pages 639-655.
    18. Michel Grabisch, 2013. "The core of games on ordered structures and graphs," Post-Print hal-00803233, HAL.
    19. René Brink & Arantza Estévez-Fernández & Gerard Laan & Nigel Moes, 2014. "Independence of downstream and upstream benefits in river water allocation problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 173-194, June.
    20. Harold Houba & Erik Ansink, 2013. "Sustainable Agreements on Stochastic River Flow," Tinbergen Institute Discussion Papers 13-182/II, Tinbergen Institute.
    21. Encarnacion Algaba & Rene van den Brink, 2021. "Networks, Communication and Hierarchy: Applications to Cooperative Games," Tinbergen Institute Discussion Papers 21-019/IV, Tinbergen Institute.
    22. Sylvain Béal & Anna Khmelnitskaya & Philippe Solal, 2015. "Two-step values for games with two-level communication structure," Working Papers 2015-02, CRESE.
    23. Ansink, Erik, 2009. "Self-enforcing Agreements on Water Allocation," Sustainable Development Papers 54292, Fondazione Eni Enrico Mattei (FEEM).
    24. Sarina Steinmann & Ralph Winkler, 2019. "Sharing a River with Downstream Externalities," Games, MDPI, vol. 10(2), pages 1-15, May.
    25. Khmelnitskaya, Anna & Talman, Dolf, 2014. "Tree, web and average web values for cycle-free directed graph games," European Journal of Operational Research, Elsevier, vol. 235(1), pages 233-246.
    26. Ambec, Stefan & Dinar, Ariel & McKinney, Daene, 2011. "Fixed Water Sharing Agreements Sustainable to Drought," IDEI Working Papers 695, Institut d'Économie Industrielle (IDEI), Toulouse.
    27. René Brink & Chris Dietz & Gerard Laan & Genjiu Xu, 2017. "Comparable characterizations of four solutions for permission tree games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(4), pages 903-923, April.
    28. Sylvain Béal & Amandine Ghintran & Eric Rémila & Philippe Solal, 2012. "The Sequential Equal Surplus Division for Sharing International Rivers with Bifurcations," Working Papers 2012-02, CRESE.
    29. Julia Belau, 2013. "An outside-option-sensitive allocation rule for networks: the kappa-value," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 175-188, November.
    30. Sylvain Béal & Sylvain Ferrières & Adriana Navarro‐Ramos & Philippe Solal, 2023. "Axiomatic characterizations of the family of Weighted priority values," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(4), pages 787-816, December.
    31. René Brink & Ilya Katsev & Gerard Laan, 2011. "Axiomatizations of two types of Shapley values for games on union closed systems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(1), pages 175-188, May.
    32. van den Brink, J.R. & Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2013. "The average tree permission value for games with a permission tree," Research Memorandum 001, Maastricht University, Graduate School of Business and Economics (GSBE).
    33. Michel Grabisch & Lijue Xie, 2011. "The restricted core of games on distributive lattices: how to share benefits in a hierarchy," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00583868, HAL.
    34. Richard Baron & Sylvain Béal & Éric Rémila & Philippe Solal, 2011. "Average Tree Solutions and the Distribution of Harsanyi Dividends," Post-Print halshs-00674425, HAL.
    35. Gudmundsson, Jens & Hougaard, Jens Leth & Ko, Chiu Yu, 2019. "Decentralized mechanisms for river sharing," Journal of Environmental Economics and Management, Elsevier, vol. 94(C), pages 67-81.
    36. Khmelnitskaya, A. & Talman, A.J.J., 2011. "Tree, Web and Average Web Value for Cycle-Free Directed Graph Games," Other publications TiSEM f38b966e-e26b-4d71-b85a-3, Tilburg University, School of Economics and Management.
    37. René Brink & Youngsub Chun, 2012. "Balanced consistency and balanced cost reduction for sequencing problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 519-529, March.
    38. Jorge Alcalde-Unzu & María Gómez-Rúa & Elena Molis, 2021. "Allocating the costs of cleaning a river: expected responsibility versus median responsibility," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 185-214, March.
    39. van den Brink, René & He, Simin & Huang, Jia-Ping, 2018. "Polluted river problems and games with a permission structure," Games and Economic Behavior, Elsevier, vol. 108(C), pages 182-205.
    40. René van den Brink, 2006. "On Hierarchies and Communication," Tinbergen Institute Discussion Papers 06-056/1, Tinbergen Institute.
    41. Khmelnitskaya, A. & Talman, A.J.J., 2011. "Two solution concepts for TU games with cycle-free directed cooperation structures," Other publications TiSEM df61db11-45de-42b3-91e6-9, Tilburg University, School of Economics and Management.
    42. Richard Baron & Sylvain Béal & Éric Rémila & Philippe Solal, 2008. "Average tree solutions for graph games," Post-Print hal-00332570, HAL.
    43. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2012. "The sequential equal surplus division for sharing a river," MPRA Paper 37346, University Library of Munich, Germany.
    44. Mitra, Manipushpak & De, Parikshit, 2015. "Incentives and justice for sequencing problems," MPRA Paper 65447, University Library of Munich, Germany.
    45. Khmelnitskaya, A. & Talman, A.J.J., 2010. "Tree-Type Values for Cycle-Free Directed Graph Games," Discussion Paper 2010-113, Tilburg University, Center for Economic Research.
    46. Ansink, Erik & Weikard, Hans-Peter, 2013. "Composition properties in the river claims problem," MPRA Paper 51618, University Library of Munich, Germany.
    47. René van den Brink & Gerard van der Laan & Valeri Vasil'ev, 0000. "The Restricted Core for Totally Positive Games with Ordered Players," Tinbergen Institute Discussion Papers 09-038/1, Tinbergen Institute.
    48. Lei Li & Xueliang Li, 2011. "The covering values for acyclic digraph games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(4), pages 697-718, November.
    49. Encarnacion Algaba & René van den Brink & Chris Dietz, 2015. "Power Measures and Solutions for Games under Precedence Constraints," Tinbergen Institute Discussion Papers 15-007/II, Tinbergen Institute.
    50. Gerard van der Laan & Nigel Moes, 2012. "Transboundary Externalities and Property Rights: An International River Pollution Model," Tinbergen Institute Discussion Papers 12-006/1, Tinbergen Institute.
    51. Khmelnitskaya, A. & Talman, A.J.J., 2010. "Tree-Type Values for Cycle-Free Directed Graph Games," Other publications TiSEM f5d8924e-a04b-4d65-bc53-b, Tilburg University, School of Economics and Management.
    52. Roger A McCain, 2013. "Value Solutions in Cooperative Games," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8528, December.
    53. Audy, Jean-François & D’Amours, Sophie & Rönnqvist, Mikael, 2012. "An empirical study on coalition formation and cost/savings allocation," International Journal of Production Economics, Elsevier, vol. 136(1), pages 13-27.

  37. van den Brink, Rene, 2007. "Null or nullifying players: The difference between the Shapley value and equal division solutions," Journal of Economic Theory, Elsevier, vol. 136(1), pages 767-775, September.

    Cited by:

    1. Fragnelli, Vito & Gagliardo, Stefano, 2012. "Cooperative models for allocating an object," Economics Letters, Elsevier, vol. 117(1), pages 227-229.
    2. Sylvain Béal & André Casajus & Eric Rémila & Philippe Solal, 2021. "Cohesive efficiency in TU-games: axiomatizations of variants of the Shapley value, egalitarian values and their convex combinations," Annals of Operations Research, Springer, vol. 302(1), pages 23-47, July.
    3. Zhengxing Zou & Rene van den Brink & Yukihiko Funaki, 2020. "Compromising between the proportional and equal division values: axiomatization, consistency and implementation," Tinbergen Institute Discussion Papers 20-054/II, Tinbergen Institute.
    4. Zhengxing Zou & Rene van den Brink, 2020. "Sharing the Surplus and Proportional Values," Tinbergen Institute Discussion Papers 20-014/II, Tinbergen Institute.
    5. René Brink & Yukihiko Funaki, 2015. "Implementation and axiomatization of discounted Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 329-344, September.
    6. Sylvain Béal & Eric Rémila & Philippe Solal, 2015. "A class of solidarity allocation rules for TU-games," Working Papers hal-01376906, HAL.
    7. Andrea Caggese & Ander Pérez-Orive, 2018. "Capital misallocation and secular stagnation," Economics Working Papers 1637, Department of Economics and Business, Universitat Pompeu Fabra, revised Feb 2019.
    8. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2021. "Monotonicity in sharing the revenues from broadcasting sports leagues," MPRA Paper 105643, University Library of Munich, Germany.
    9. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2012. "Axioms of invariance for TU-games," MPRA Paper 41530, University Library of Munich, Germany.
    10. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2010. "Compensations in the Shapley value and the compensation solutions for graph games," MPRA Paper 20955, University Library of Munich, Germany.
    11. Sylvain Béal & Eric Rémila & Philippe Solal, 2017. "Axiomatization and implementation of a class of solidarity values for TU-games," Post-Print halshs-01446583, HAL.
    12. Wenzhong Li & Genjiu Xu & Rong Zou & Dongshuang Hou, 2022. "The allocation of marginal surplus for cooperative games with transferable utility," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(2), pages 353-377, June.
    13. Sylvain Béal & Eric Rémila & Philippe Solal, 2013. "A Decomposition of the Space of TU-games Using Addition and Transfer Invariance," Working Papers 2013-08, CRESE.
    14. Sylvain Béal & Eric Rémila & Philippe Solal, 2017. "Discounted Tree Solutions," Post-Print halshs-01413007, HAL.
    15. Chameni Nembua, C. & Miamo Wendji, C., 2016. "Ordinal equivalence of values, Pigou–Dalton transfers and inequality in TU-games," Games and Economic Behavior, Elsevier, vol. 99(C), pages 117-133.
    16. Abe, Takaaki & Nakada, Satoshi, 2023. "The in-group egalitarian Owen values," Games and Economic Behavior, Elsevier, vol. 142(C), pages 1-16.
    17. Sylvain Béal & Issofa Moyouwou & Eric Rémila & Phillippe Solal, 2018. "Cooperative games on intersection closed systems and the Shapley value," Working Papers 2018-06, CRESE.
    18. Kamijo, Yoshio & Kongo, Takumi, 2012. "Whose deletion does not affect your payoff? The difference between the Shapley value, the egalitarian value, the solidarity value, and the Banzhaf value," European Journal of Operational Research, Elsevier, vol. 216(3), pages 638-646.
    19. Zeguang Cui & Erfang Shan & Wenrong Lyu, 2024. "Differential marginality, inessential games and convex combinations of values," Theory and Decision, Springer, vol. 96(3), pages 463-475, May.
    20. Zheng, Xiao-Xue & Li, Deng-Feng & Liu, Zhi & Jia, Fu & Lev, Benjamin, 2021. "Willingness-to-cede behaviour in sustainable supply chain coordination," International Journal of Production Economics, Elsevier, vol. 240(C).
    21. Surajit Borkotokey & Loyimee Gogoi & Dhrubajit Choudhury & Rajnish Kumar, 2022. "Solidarity induced by group contributions: the MI $$^k$$ k -value for transferable utility games," Operational Research, Springer, vol. 22(2), pages 1267-1290, April.
    22. Mallozzi, Lina & Vidal-Puga, Juan, 2019. "Uncertainty in cooperative interval games: How Hurwicz criterion compatibility leads to egalitarianism," MPRA Paper 92730, University Library of Munich, Germany.
    23. Donald Nganmegni Njoya & Issofa Moyouwou & Nicolas Gabriel Andjiga, 2021. "The equal-surplus Shapley value for chance-constrained games on finite sample spaces," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 93(3), pages 463-499, June.
    24. Sylvain Béal & Florian Navarro, 2020. "Necessary versus equal players in axiomatic studies," Post-Print hal-03252179, HAL.
    25. Pedro Calleja & Francesc Llerena, 2017. "Rationality, aggregate monotonicity and consistency in cooperative games: some (im)possibility results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 197-220, January.
    26. Besner, Manfred, 2022. "The grand surplus value and repeated cooperative cross-games with coalitional collaboration," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    27. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2022. "On the axiomatic approach to sharing the revenues from broadcasting sports leagues," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 321-347, February.
    28. Rene van den Brink & Yukihiko Funaki, 2010. "Axiomatization and Implementation of Discounted Shapley Values," Tinbergen Institute Discussion Papers 10-065/1, Tinbergen Institute.
    29. Kjell Hausken, 2020. "The Shapley value of coalitions to other coalitions," Palgrave Communications, Palgrave Macmillan, vol. 7(1), pages 1-10, December.
    30. Sylvain Ferrières, 2016. "Nullified equal loss property and equal division values," Working Papers 2016-06, CRESE.
    31. Besner, Manfred, 2021. "The grand dividends value," MPRA Paper 107615, University Library of Munich, Germany.
    32. Ines Macho-Stadler & David Perez-Castrillo & David Wettstein, 2017. "Extensions Of The Shapley Value For Environments With Externalities," Working Papers 1716, Ben-Gurion University of the Negev, Department of Economics.
    33. Casajus, André & Huettner, Frank, 2014. "Null, nullifying, or dummifying players: The difference between the Shapley value, the equal division value, and the equal surplus division value," Economics Letters, Elsevier, vol. 122(2), pages 167-169.
    34. Rong Zou & Genjiu Xu & Wenzhong Li & Xunfeng Hu, 2020. "A coalitional compromised solution for cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(4), pages 735-758, December.
    35. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2020. "Sharing the Revenues from Broadcasting Sport Events," Management Science, INFORMS, vol. 66(6), pages 2417-2431, June.
    36. Wenna Wang & René van den Brink & Hao Sun & Genjiu Xu & Zhengxing Zou, 2022. "On $$\alpha $$ α -constant-sum games," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(2), pages 279-291, June.
    37. Chameni Nembua, Célestin, 2010. "Linear efficient and symmetric values for TU-games: sharing the joint gain of cooperation," MPRA Paper 31249, University Library of Munich, Germany, revised 2010.
    38. Abe, Takaaki, 2024. "Equal surplus sharing values for games with coalition structures," Economics Letters, Elsevier, vol. 240(C).
    39. Nils Roehl, 2013. "Two-Stage Allocation Rules," Working Papers CIE 73, Paderborn University, CIE Center for International Economics.
    40. Zhengxing Zou & René Brink & Yukihiko Funaki, 2022. "Sharing the surplus and proportional values," Theory and Decision, Springer, vol. 93(1), pages 185-217, July.
    41. Koji Yokote & Takumi Kongo & Yukihiko Funaki, 2019. "Relationally equal treatment of equals and affine combinations of values for TU games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(2), pages 197-212, August.
    42. Célestin Chameni Nembua & Nicolas Gabriel Andjiga, 2008. "Linear, efficient and symmetric values for TU-games," Economics Bulletin, AccessEcon, vol. 3(71), pages 1-10.
    43. Borkotokey, Surajit & Choudhury, Dhrubajit & Kumar, Rajnish & Sarangi, Sudipta, 2020. "Consolidating Marginalism and Egalitarianism: A New Value for Transferable Utility Games," QBS Working Paper Series 2020/12, Queen's University Belfast, Queen's Business School.
    44. René van den Brink, 2009. "Comparable Axiomatizations of the Myerson Value, the Restricted Banzhaf Value, Hierarchical Outcomes and the Average Tree Solution for Cycle-Free Graph Restricted Games," Tinbergen Institute Discussion Papers 09-108/1, Tinbergen Institute.
    45. Takumi Kongo, 2018. "Effects of Players’ Nullification and Equal (Surplus) Division Values," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(01), pages 1-14, March.
    46. René Brink & Yukihiko Funaki, 2009. "Axiomatizations of a Class of Equal Surplus Sharing Solutions for TU-Games," Theory and Decision, Springer, vol. 67(3), pages 303-340, September.
    47. J. M. Alonso-Meijide & J. Costa & I. García-Jurado & J. C. Gonçalves-Dosantos, 2023. "On egalitarian values for cooperative games with level structures," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 98(1), pages 57-73, August.
    48. David Wettstein & Ines Macho-Stadler & David Perez-Castrillo, 2016. "Values For Environments With Externalities – The Average Approach," Working Papers 1606, Ben-Gurion University of the Negev, Department of Economics.
    49. Zhengxing Zou & Rene van den Brink & Youngsub Chun & Yukihiko Funaki, 2019. "Axiomatizations of the proportional division value," Tinbergen Institute Discussion Papers 19-072/II, Tinbergen Institute.
    50. Norman Kleinberg & Jeffrey Weiss, 2013. "On membership and marginal values," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 357-373, May.
    51. Marco Rogna, 2020. "The Burning Coalition Bargaining Model," BEMPS - Bozen Economics & Management Paper Series BEMPS69, Faculty of Economics and Management at the Free University of Bozen.
    52. Sylvain Béal & Eric Rémila & Philippe Solal, 2019. "Coalitional desirability and the equal division value," Theory and Decision, Springer, vol. 86(1), pages 95-106, February.
    53. Filipe Bandeiras & Álvaro Gomes & Mário Gomes & Paulo Coelho, 2023. "Application and Challenges of Coalitional Game Theory in Power Systems for Sustainable Energy Trading Communities," Energies, MDPI, vol. 16(24), pages 1-42, December.
    54. Rene van den Brink & Youngsub Chun & Yukihiko Funaki & Boram Park, 2012. "Consistency, Population Solidarity, and Egalitarian Solutions for TU-Games," Tinbergen Institute Discussion Papers 12-136/II, Tinbergen Institute.
    55. Zhang, Li & Xu, Genjiu & Sun, Hao & Li, Wenzhong, 2023. "Players’ dummification and the dummified egalitarian non-separable contribution value," Economics Letters, Elsevier, vol. 226(C).
    56. Koji Yokote & Takumi Kongo & Yukihiko Funaki, 2021. "Redistribution to the less productive: parallel characterizations of the egalitarian Shapley and consensus values," Theory and Decision, Springer, vol. 91(1), pages 81-98, July.
    57. Maimo, Clovis Wendji, 2017. "Matrix representation of TU-games for Linear Efficient and Symmetric values," MPRA Paper 82416, University Library of Munich, Germany.
    58. Calleja, Pere & Llerena Garrés, Francesc, 2016. "Consistency distinguishes the (weighted) Shapley value, the (weighted) surplus division value and the prenucleolus," Working Papers 2072/266577, Universitat Rovira i Virgili, Department of Economics.
    59. Casajus, André & Huettner, Frank, 2013. "Null players, solidarity, and the egalitarian Shapley values," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 58-61.
    60. José María Alonso-Meijide & Mikel à lvarez-Mozos & Maria Gloria Fiestras-Janeiro & Andres Jiménez-Losada, 2022. "Two families of values for global games," UB School of Economics Working Papers 2022/428, University of Barcelona School of Economics.
    61. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2019. "Allocating extra revenues from broadcasting sports leagues," MPRA Paper 97413, University Library of Munich, Germany.
    62. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2015. "Preserving or removing special players: What keeps your payoff unchanged in TU-games?," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 23-31.
    63. Miklos Pinter & Anna Radvanyi, 2012. "The Shapley value for shortest path games," CERS-IE WORKING PAPERS 1224, Institute of Economics, Centre for Economic and Regional Studies.
    64. Sylvain Béal & André Casajus & Frank Huettner & Eric Rémila & Philippe Solal, 2016. "Characterizations of weighted and equal division values," Theory and Decision, Springer, vol. 80(4), pages 649-667, April.
    65. Li, Wenzhong & Xu, Genjiu & van den Brink, René, 2024. "Sign properties and axiomatizations of the weighted division values," Journal of Mathematical Economics, Elsevier, vol. 112(C).
    66. Richard Baron & Sylvain Béal & Éric Rémila & Philippe Solal, 2011. "Average Tree Solutions and the Distribution of Harsanyi Dividends," Post-Print halshs-00674425, HAL.
    67. Rene van den Brink, 2009. "Efficiency and Collusion Neutrality of Solutions for Cooperative TU-Games," Tinbergen Institute Discussion Papers 09-065/1, Tinbergen Institute.
    68. Sylvain Ferrières, 2017. "Nullified equal loss property and equal division values," Theory and Decision, Springer, vol. 83(3), pages 385-406, October.
    69. Besner, Manfred, 2021. "The grand dividends value," MPRA Paper 106638, University Library of Munich, Germany.
    70. René Brink & Youngsub Chun, 2012. "Balanced consistency and balanced cost reduction for sequencing problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 519-529, March.
    71. Nembua Célestin, Chameni & Wendji Clovis, Miamo, 2017. "On some decisive players for linear efficient and symmetric values in cooperative games with transferable utility," MPRA Paper 83670, University Library of Munich, Germany, revised 2017.
    72. Sylvain Ferrières, 2016. "Smoothness, nullified equal loss property and equal division values," Working Papers 2016-01, CRESE.
    73. Zhengxing Zou & René van den Brink & Yukihiko Funaki, 2024. "On weighted-egalitarian values for cooperative games," Tinbergen Institute Discussion Papers 24-021/II, Tinbergen Institute.
    74. Youngsub Chun & Boram Park, 2012. "Population solidarity, population fair-ranking, and the egalitarian value," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 255-270, May.
    75. Rene van den Brink & Youngsub Chun & Yukihiko Funaki & Zhengxing Zou, 2021. "Balanced Externalities and the Proportional Allocation of Nonseparable Contributions," Tinbergen Institute Discussion Papers 21-024/II, Tinbergen Institute.
    76. Panfei Sun & Dongshuang Hou & Hao Sun & Theo Driessen, 2017. "Optimization Implementation and Characterization of the Equal Allocation of Nonseparable Costs Value," Journal of Optimization Theory and Applications, Springer, vol. 173(1), pages 336-352, April.
    77. Tadeusz Radzik, 2017. "On an extension of the concept of TU-games and their values," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(1), pages 149-170, August.
    78. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2012. "Fairness and fairness for neighbors: The difference between the Myerson value and component-wise egalitarian solutions," Economics Letters, Elsevier, vol. 117(1), pages 263-267.
    79. Tadeusz Radzik & Theo Driessen, 2016. "Modeling values for TU-games using generalized versions of consistency, standardness and the null player property," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 83(2), pages 179-205, April.
    80. Margarita Domènech & José Miguel Giménez & María Albina Puente, 2022. "Weak null, necessary defender and necessary detractor players: characterizations of the Banzhaf and the Shapley bisemivalues," Annals of Operations Research, Springer, vol. 318(2), pages 889-910, November.
    81. Sylvain Béal & André Casajus & Frank Huettner & Éric Rémila & Philippe Solal, 2014. "Solidarity within a Fixed Community," Post-Print halshs-01090487, HAL.
    82. Béal, Sylvain & Solal, Philippe, 2009. "Allocation rules for museum pass programs," MPRA Paper 20103, University Library of Munich, Germany.
    83. Erfang Shan & Zhiqiang Yu & Wenrong Lyu, 2023. "Union-wise egalitarian solutions in cooperative games with a coalition structure," 4OR, Springer, vol. 21(3), pages 533-545, September.
    84. Li, Daniel Li & Shan, Erfang, 2023. "Tree solutions and standardness for cycle-free graph games," Economics Letters, Elsevier, vol. 222(C).
    85. Zou, Zhengxing & van den Brink, René, 2020. "Equal loss under separatorization and egalitarian values," Economics Letters, Elsevier, vol. 194(C).
    86. Sylvain Béal & Eric Rémila & Philippe Solal, 2014. "Veto players, the kernel of the Shapley value and its characterization," Working Papers 2014-03, CRESE.
    87. André Casajus, 2011. "Differential marginality, van den Brink fairness, and the Shapley value," Theory and Decision, Springer, vol. 71(2), pages 163-174, August.
    88. Julio González-Díaz & Estela Sánchez-Rodríguez, 2014. "Understanding the coincidence of allocation rules: symmetry and orthogonality in TU-games," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(4), pages 821-843, November.
    89. Koji Yokote, 2015. "Weak addition invariance and axiomatization of the weighted Shapley value," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 275-293, May.
    90. Nils Roehl, 2013. "Two-Stage Allocation Rules," Working Papers Dissertations 01, Paderborn University, Faculty of Business Administration and Economics.
    91. Takayuki Oishi & Gerard van der Laan & René van den Brink, 2018. "The Tort Law and the Nucleolus for Generalized Joint Liability Problems," Discussion Papers 37, Meisei University, School of Economics.
    92. José M. Alonso-Meijide & Julián Costa & Ignacio García-Jurado, 2019. "Null, Nullifying, and Necessary Agents: Parallel Characterizations of the Banzhaf and Shapley Values," Journal of Optimization Theory and Applications, Springer, vol. 180(3), pages 1027-1035, March.
    93. Emilio Calvo Ramón & Esther Gutiérrez-López, 2022. "The equal collective gains value in cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(1), pages 249-278, March.
    94. Xun-Feng Hu & Deng-Feng Li, 2021. "The Equal Surplus Division Value for Cooperative Games with a Level Structure," Group Decision and Negotiation, Springer, vol. 30(6), pages 1315-1341, December.
    95. Casajus, André & Huettner, Frank, 2014. "Weakly monotonic solutions for cooperative games," Journal of Economic Theory, Elsevier, vol. 154(C), pages 162-172.
    96. Takumi Kongo, 2020. "Similarities in axiomatizations: equal surplus division value and first-price auctions," Review of Economic Design, Springer;Society for Economic Design, vol. 24(3), pages 199-213, December.
    97. Wenna Wang & Rene van den Brink & Hao Sun & Genjiu Xu & Zhengxing Zou, "undated". "The alpha-constant-sum games," Tinbergen Institute Discussion Papers 19-022/II, Tinbergen Institute.
    98. Hu, Xun-Feng, 2019. "Coalitional surplus desirability and the equal surplus division value," Economics Letters, Elsevier, vol. 179(C), pages 1-4.
    99. Calleja, Pere & Llerena Garrés, Francesc, 2015. "On the (in)compatibility of rationality, monotonicity and consistency for cooperative games," Working Papers 2072/247807, Universitat Rovira i Virgili, Department of Economics.
    100. Zou, Zhengxing & van den Brink, René & Funaki, Yukihiko, 2021. "Compromising between the proportional and equal division values," Journal of Mathematical Economics, Elsevier, vol. 97(C).
    101. Dhrubajit Choudhury & Surajit Borkotokey & Rajnish Kumar & Sudipta Sarangi, 2021. "The Egalitarian Shapley value: a generalization based on coalition sizes," Annals of Operations Research, Springer, vol. 301(1), pages 55-63, June.
    102. J. M. Alonso-Meijide & J. Costa & I. García-Jurado & J. C. Gonçalves-Dosantos, 2020. "On egalitarian values for cooperative games with a priori unions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(3), pages 672-688, October.
    103. Ricardo Mart'inez & Joaqu'in S'anchez-Soriano, 2023. "Order preservation with dummies in the musseum pass problem," Papers 2307.00622, arXiv.org.
    104. Miklós Pintér & Anna Radványi, 2013. "The Shapley value for shortest path games: a non-graph-based approach," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(4), pages 769-781, December.
    105. Lee, Joosung & Driessen, Theo S.H., 2012. "Sequentially two-leveled egalitarianism for TU games: Characterization and application," European Journal of Operational Research, Elsevier, vol. 220(3), pages 736-743.
    106. Oishi, Takayuki & Nakayama, Mikio & Hokari, Toru & Funaki, Yukihiko, 2016. "Duality and anti-duality in TU games applied to solutions, axioms, and axiomatizations," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 44-53.
    107. van den Brink, René & Chun, Youngsub & Funaki, Yukihiko & Zou, Zhengxing, 2023. "Balanced externalities and the proportional allocation of nonseparable contributions," European Journal of Operational Research, Elsevier, vol. 307(2), pages 975-983.
    108. Borkotokey, Surajit & Choudhury, Dhrubajit & Gogoi, Loyimee & Kumar, Rajnish, 2020. "Group contributions in TU-games: A class of k-lateral Shapley values," European Journal of Operational Research, Elsevier, vol. 286(2), pages 637-648.
    109. Frank Huettner & André Casajus, 2019. "Marginality, dividends, and the value in games with externalities," ESMT Research Working Papers ESMT-19-01, ESMT European School of Management and Technology.
    110. René Brink & Yukihiko Funaki & Yuan Ju, 2013. "Reconciling marginalism with egalitarianism: consistency, monotonicity, and implementation of egalitarian Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 693-714, March.
    111. Christian Basteck & Frank Huettner, 2023. "Coalitional Manipulations and Immunity of the Shapley Value," Papers 2310.20415, arXiv.org.
    112. Ricardo Martínez & Joaquín Sánchez-Soriano, 2021. "Social solidarity with dummies in the museum pass problem," ThE Papers 21/11, Department of Economic Theory and Economic History of the University of Granada..
    113. Surajit Borkotokey & Dhrubajit Choudhury & Rajnish Kumar & Sudipta Sarangi, 2023. "A new value for cooperative games based on coalition size," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(4), pages 830-854, December.
    114. Pedro Calleja & Francesc Llerena, 2019. "Path monotonicity, consistency and axiomatizations of some weighted solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 287-310, March.
    115. Koji Yokote & Yukihiko Funaki, 2017. "Monotonicity implies linearity: characterizations of convex combinations of solutions to cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(1), pages 171-203, June.

  38. van den Brink, Rene & van der Laan, Gerard, 2005. "A class of consistent share functions for games in coalition structure," Games and Economic Behavior, Elsevier, vol. 51(1), pages 193-212, April.
    See citations under working paper version above.
  39. E. Algaba & J. M. Bilbao & R. van den Brink & A. Jiménez-Losada, 2004. "An axiomatization of the Banzhaf value for cooperative games on antimatroids," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 59(1), pages 147-166, February.
    See citations under working paper version above.
  40. Borm, Peter & van den Brink, Rene & Levinsky, Rene & Slikker, Marco, 2004. "On two new social choice correspondences," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 51-68, January.
    See citations under working paper version above.
  41. E. Algaba & J. M. Bilbao & R. van den Brink & A. Jiménez-Losada, 2003. "Axiomatizations of the Shapley value for cooperative games on antimatroids," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 57(1), pages 49-65, April.
    See citations under working paper version above.
  42. René van den Brink, 2002. "The apex power measure for directed networks," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(4), pages 845-867.

    Cited by:

    1. Agnieszka Rusinowska & Rudolf Berghammer & Harrie de Swart & Michel Grabisch, 2011. "Social networks: Prestige, centrality, and influence (Invited paper)," Post-Print hal-00633859, HAL.
    2. Kong, Qianqian & Peters, Hans, 2023. "Power indices for networks, with applications to matching markets," European Journal of Operational Research, Elsevier, vol. 306(1), pages 448-456.
    3. Arlegi, Ritxar & Dimitrov, Dinko, 2012. "Evolvement of influence in hierarchies," Economics Letters, Elsevier, vol. 117(2), pages 484-486.
    4. René van den Brink & Frank Steffen, 2007. "Positional Power in Hierarchies," Tinbergen Institute Discussion Papers 07-038/1, Tinbergen Institute.
    5. Roland K. Cheo, 2007. "Adopting Shapley values to address embedding biases in contingent valuation studies," Applied Economics Letters, Taylor & Francis Journals, vol. 14(10), pages 765-768.
    6. Qianqian Kong & Hans Peters, 2021. "An issue based power index," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 23-38, March.
    7. Rene van den Brink & Chris Dietz, 2012. "Games with a Local Permission Structure: Separation of Authority and Value Generation," Tinbergen Institute Discussion Papers 12-126/II, Tinbergen Institute.

  43. René van den Brink, 2002. "An axiomatization of the Shapley value using a fairness property," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(3), pages 309-319.
    See citations under working paper version above.
  44. René van den Brink & Peter Borm, 2002. "Digraph Competitions and Cooperative Games," Theory and Decision, Springer, vol. 53(4), pages 327-342, December.
    See citations under working paper version above.
  45. Gerard van der Laan & René van den Brink, 2002. "A Banzhaf share function for cooperative games in coalition structure," Theory and Decision, Springer, vol. 53(1), pages 61-86, August.
    See citations under working paper version above.
  46. Peter Borm & René van den Brink & Marco Slikker, 2002. "An Iterative Procedure for Evaluating Digraph Competitions," Annals of Operations Research, Springer, vol. 109(1), pages 61-75, January.
    See citations under working paper version above.
  47. Gerard van der Laan & René van den Brink, 2001. "Core concepts for share vectors," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 759-784.
    See citations under working paper version above.
  48. (*), Gerard van der Laan & RenÊ van den Brink, 1998. "Axiomatizations of the normalized Banzhaf value and the Shapley value," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(4), pages 567-582.

    Cited by:

    1. van den Brink, J.R., 1999. "An Axiomatization of the Shapley Value Using a Fairness Property," Discussion Paper 1999-120, Tilburg University, Center for Economic Research.
    2. Annick Laruelle, 1999. "- On The Choice Of A Power Index," Working Papers. Serie AD 1999-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    3. van den Brink, J.R. & van der Laan, G., 1999. "Potentials and Reduced Games for Share Functions," Discussion Paper 1999-41, Tilburg University, Center for Economic Research.
    4. van den Brink, J.R. & van der Laan, G., 2001. "A Class of Consistent Share Functions For Games in Coalition Structure," Discussion Paper 2001-33, Tilburg University, Center for Economic Research.
    5. Takaaki Abe, 2020. "Stable Coalition Structures and Power Indices for Majority Voting," Working Papers 2015, Waseda University, Faculty of Political Science and Economics.
    6. van der Laan, G. & van den Brink, J.R., 1998. "A Banzhaf share function for cooperative games in coalition structure," Other publications TiSEM ee0f55cf-8290-4960-9661-5, Tilburg University, School of Economics and Management.
    7. Bendel, Dan & Haviv, Moshe, 2018. "Cooperation and sharing costs in a tandem queueing network," European Journal of Operational Research, Elsevier, vol. 271(3), pages 926-933.
    8. Michel Grabisch & Agnieszka Rusinowska, 2008. "A model of influence in a social network," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00344457, HAL.
    9. Besner, Manfred, 2020. "Values for level structures with polynomial-time algorithms, relevant coalition functions, and general considerations," MPRA Paper 99355, University Library of Munich, Germany.
    10. Gerard van der Laan & René van den Brink, 1998. "Axiomatization of a class of share functions for n-person games," Theory and Decision, Springer, vol. 44(2), pages 117-148, April.
    11. En-Cheng Chi & Yu-Hsien Liao, 2021. "Sustainable Usability Distribution Mechanisms under Multi-Attribute Sports Management Schemes," Sustainability, MDPI, vol. 13(3), pages 1-16, February.
    12. Bhattacherjee, Sanjay & Sarkar, Palash, 2017. "Correlation and inequality in weighted majority voting games," MPRA Paper 83168, University Library of Munich, Germany.
    13. Tobias Hiller, 2011. "A note on χ-values," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 58(4), pages 433-438, December.
    14. Palestini, Arsen & Pignataro, Giuseppe, 2016. "A graph-based approach to inequality assessment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 455(C), pages 65-78.
    15. Bernardi Mauro & Roy Cerqueti & Arsen Palestini, 2016. "Allocation of risk capital in a cost cooperative game induced by a modified Expected Shortfall," Papers 1608.02365, arXiv.org.
    16. Tobias Hiller, 2022. "Allocation of portfolio risk and outside options," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(7), pages 2845-2848, October.
    17. van den Brink, J.R. & Ruys, P.H.M. & Semenov, R., 1999. "Governance of Clubs and Firms with Cultural Dimensions," Discussion Paper 1999-101, Tilburg University, Center for Economic Research.
    18. Barua, Rana & Chakravarty, Satya R. & Sarkar, Palash, 2009. "Minimal-axiom characterizations of the Coleman and Banzhaf indices of voting power," Mathematical Social Sciences, Elsevier, vol. 58(3), pages 367-375, November.
    19. Rene van den Brink, 2009. "Efficiency and Collusion Neutrality of Solutions for Cooperative TU-Games," Tinbergen Institute Discussion Papers 09-065/1, Tinbergen Institute.
    20. Mikel Alvarez-Mozos & Rene van den Brink & Gerard van der Laan & Oriol Tejada, 2012. "Share Functions for Cooperative Games with Levels Structure of Cooperation," Tinbergen Institute Discussion Papers 12-052/1, Tinbergen Institute.
    21. van den Brink, J.R., 1999. "An Axiomatization of the Shapley Value Using a Fairness Property," Other publications TiSEM 0090365c-9bab-4367-b660-5, Tilburg University, School of Economics and Management.
    22. Yu-Hsien Liao, 2023. "Power Indices under Specific Multicriteria Status," Games, MDPI, vol. 14(4), pages 1-10, June.
    23. Barua, Rana & Chakravarty, Satya R. & Roy, Sonali, 2006. "On the Coleman indices of voting power," European Journal of Operational Research, Elsevier, vol. 171(1), pages 273-289, May.
    24. Harald Wiese, 2012. "Values with exogenous payments," Theory and Decision, Springer, vol. 72(4), pages 485-508, April.
    25. Takaaki Abe, 2022. "Stable coalition structures and power indices for majority voting," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(6), pages 1413-1432, December.
    26. van den Brink, J.R. & Ruys, P.H.M. & Semenov, R., 1999. "Governance of Clubs and Firms with Cultural Dimensions," Other publications TiSEM 8881e73a-6461-48c2-a60b-a, Tilburg University, School of Economics and Management.
    27. Hiller Tobias, 2021. "Who Bears an Employee’s Special Annual Payment?," Review of Law & Economics, De Gruyter, vol. 17(1), pages 223-237, March.
    28. Tobias Hiller, 2013. "The distribution of power in governing coalitions of the German Laender," Applied Economics Letters, Taylor & Francis Journals, vol. 20(12), pages 1155-1159, August.
    29. Julia Belau, 2018. "The class of ASN-position values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(1), pages 65-99, January.
    30. Yu-Hsien Liao, 2022. "A Weighted Solution Concept under Replicated Behavior," Mathematics, MDPI, vol. 11(1), pages 1-12, December.
    31. Gerard van der Laan & René van den Brink, 2002. "A Banzhaf share function for cooperative games in coalition structure," Theory and Decision, Springer, vol. 53(1), pages 61-86, August.
    32. René van den Brink & Yukihiko Funaki & Yuan Ju, 2007. "Consistency, Monotonicity and Implementation of Egalitarian Shapley Values," Tinbergen Institute Discussion Papers 07-062/1, Tinbergen Institute.
    33. Yan-An Hwang & Yu-Hsien Liao, 2010. "Consistency and dynamic approach of indexes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(4), pages 679-694, April.
    34. Oishi, Takayuki & Nakayama, Mikio & Hokari, Toru & Funaki, Yukihiko, 2016. "Duality and anti-duality in TU games applied to solutions, axioms, and axiomatizations," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 44-53.

  49. Gerard van der Laan & René van den Brink, 1998. "Axiomatization of a class of share functions for n-person games," Theory and Decision, Springer, vol. 44(2), pages 117-148, April.

    Cited by:

    1. van den Brink, J.R., 1999. "An Axiomatization of the Shapley Value Using a Fairness Property," Discussion Paper 1999-120, Tilburg University, Center for Economic Research.
    2. van den Brink, J.R. & van der Laan, G., 1999. "Potentials and Reduced Games for Share Functions," Discussion Paper 1999-41, Tilburg University, Center for Economic Research.
    3. van den Brink, J.R. & van der Laan, G., 2001. "A Class of Consistent Share Functions For Games in Coalition Structure," Discussion Paper 2001-33, Tilburg University, Center for Economic Research.
    4. Nicolas Andjiga & Sebastien Courtin, 2015. "Coalition configurations and share functions," Annals of Operations Research, Springer, vol. 225(1), pages 3-25, February.
    5. van der Laan, G. & van den Brink, J.R., 1998. "A Banzhaf share function for cooperative games in coalition structure," Other publications TiSEM ee0f55cf-8290-4960-9661-5, Tilburg University, School of Economics and Management.
    6. Michel Grabisch & Agnieszka Rusinowska, 2008. "A model of influence in a social network," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00344457, HAL.
    7. van den Brink, J.R. & van der Laan, G., 1999. "Core Concepts for Share Vectors," Discussion Paper 1999-64, Tilburg University, Center for Economic Research.
    8. van den Brink, J.R. & Ruys, P.H.M. & Semenov, R., 1999. "Governance of Clubs and Firms with Cultural Dimensions," Discussion Paper 1999-101, Tilburg University, Center for Economic Research.
    9. Barua, Rana & Chakravarty, Satya R. & Sarkar, Palash, 2009. "Minimal-axiom characterizations of the Coleman and Banzhaf indices of voting power," Mathematical Social Sciences, Elsevier, vol. 58(3), pages 367-375, November.
    10. Rafael Amer & José Giménez & Antonio Magaña, 2012. "Accessibility measures to nodes of directed graphs using solutions for generalized cooperative games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 75(1), pages 105-134, February.
    11. Nicolas G. Andjiga & Sébastien Courtin, 2015. "Coalition configurations and share functions," Post-Print hal-00914883, HAL.
    12. Rahmoune, Mahdi & Radjef, Mohammed Said & Boukherroub, Tasseda & Carvalho, Margarida, 2024. "A new integrated cooperative game and optimization model for the allocation of forest resources," European Journal of Operational Research, Elsevier, vol. 316(1), pages 329-340.
    13. Mikel Alvarez-Mozos & Rene van den Brink & Gerard van der Laan & Oriol Tejada, 2012. "Share Functions for Cooperative Games with Levels Structure of Cooperation," Tinbergen Institute Discussion Papers 12-052/1, Tinbergen Institute.
    14. van den Brink, J.R. & Ruys, P.H.M. & Semenov, R., 1999. "Governance of Clubs and Firms with Cultural Dimensions," Other publications TiSEM 8881e73a-6461-48c2-a60b-a, Tilburg University, School of Economics and Management.
    15. Gerard van der Laan & René van den Brink, 2002. "A Banzhaf share function for cooperative games in coalition structure," Theory and Decision, Springer, vol. 53(1), pages 61-86, August.

  50. RenÊ van den Brink, 1997. "An Axiomatization of the Disjunctive Permission Value for Games with a Permission Structure," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(1), pages 27-43.

    Cited by:

    1. René van den Brink & Frank Steffen, 2008. "Axiomatizations of a Positional Power Score and Measure for Hierarchies," Tinbergen Institute Discussion Papers 08-115/1, Tinbergen Institute.
    2. René Brink & Pieter Ruys, 2008. "Technology driven organizational structure of the firm," Annals of Finance, Springer, vol. 4(4), pages 481-503, October.
    3. René Brink & Ilya Katsev & Gerard Laan, 2011. "Axiomatizations of two types of Shapley values for games on union closed systems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(1), pages 175-188, May.
    4. Lei Li & Xueliang Li, 2011. "The covering values for acyclic digraph games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(4), pages 697-718, November.
    5. René Brink & Ilya Katsev & Gerard Laan, 2011. "A polynomial time algorithm for computing the nucleolus for a class of disjunctive games with a permission structure," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 591-616, August.

  51. van den Brink, Rene & Gilles, Robert P., 1996. "Axiomatizations of the Conjunctive Permission Value for Games with Permission Structures," Games and Economic Behavior, Elsevier, vol. 12(1), pages 113-126, January.
    See citations under working paper version above.
  52. Gilles, Robert P & Owen, Guillermo & van den Brink, Rene, 1992. "Games with Permission Structures: The Conjunctive Approach," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(3), pages 277-293.
    See citations under working paper version above.

Chapters

  1. Pieter H.M. Ruys & René van den Brink & Radislav Semenov, 2000. "Values and governance systems," Chapters, in: Claude Ménard (ed.), Institutions, Contracts and Organizations, chapter 27, Edward Elgar Publishing.
    See citations under working paper version above.Sorry, no citations of chapters recorded.
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