The Average Tree Solution for Cooperative Games with Communication Structure

Citations

Cited by:

1. Anna Khmelnitskaya & Peter Sudhölter, 2013. "The prenucleolus and the prekernel for games with communication structures," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 78(2), pages 285-299, October.
2. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2012. "Weighted component fairness for forest games," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 144-151.
   • Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2009. "Weighted Component Fairness for Forest Games," MPRA Paper 17455, University Library of Munich, Germany.
   • Sylvain Béal & Éric Rémila & Philippe Solal, 2012. "Weighted component fairness for forest games," Post-Print halshs-00678832, HAL.
3. 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.
   • 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.
   • 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.
   • 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).
   • 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," Discussion Paper 2013-001, Tilburg University, Center for Economic Research.
   • 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. 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.
   • 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.
5. Sylvain Béal & Eric Rémila & Philippe Solal, 2012. "Compensations in the Shapley value and the compensation solutions for graph games," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(1), pages 157-178, February.
   • Sylvain Béal & Éric Rémila & Philippe Solal, 2010. "Compensations in the Shapley value and the compensation solutions for graph games," Post-Print halshs-00530600, HAL.
   • 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.
   • Sylvain Béal & Éric Rémila & Philippe Solal, 2010. "Compensations in the Shapley value and the compensation solutions for graph games," Post-Print halshs-00530602, HAL.
   • Sylvain Béal & Philippe Solal & Éric Rémila, 2010. "Compensations in the Shapley Value and the Compensation Solutions for Graph Games," Post-Print halshs-00530607, HAL.
   • Sylvain Béal & Éric Rémila & Philippe Solal, 2012. "Compensations in the Shapley value and the compensation solutions for graph games," Post-Print halshs-00662476, HAL.
6. Khmelnitskaya, Anna B. & Sudhölter, Peter, 2011. "The prenucleolus for games with communication structures," Discussion Papers on Economics 10/2011, University of Southern Denmark, Department of Economics.
7. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2015. "Characterization of the Average Tree solution and its kernel," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 159-165.
   • Sylvain Béal & Eric Rémila & Philippe Solal, 2014. "Characterization of the Average Tree solution and its kernel," Working Papers hal-01377928, HAL.
   • Sylvain Béal & Eric Rémila & Philippe Solal, 2015. "Characterization of the Average Tree solution and its kernel," Post-Print halshs-01212115, HAL.
   • Sylvain Béal & Eric Rémila & Philippe Solal, 2015. "Characterization of the Average Tree solution and its kernel," Post-Print halshs-01196615, HAL.
   • Sylvain Béal & Eric Rémila & Philippe Solal, 2014. "Characterization of the Average Tree solution and its kernel," Working Papers 2014-04, CRESE.
8. Selçuk, Özer & Suzuki, Takamasa & Talman, Dolf, 2013. "Equivalence and axiomatization of solutions for cooperative games with circular communication structure," Economics Letters, Elsevier, vol. 121(3), pages 428-431.
9. 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.
   • Kang, Liying & Khmelnitskaya, Anna & Shan, Erfang & Talman, A.J.J. & Zhang, Guang, 2020. "The Average Tree value for Hypergraph Games," Discussion Paper 2020-005, Tilburg University, Center for Economic Research.
10. Nils Roehl, 2013. "Two-Stage Allocation Rules," Working Papers CIE 73, Paderborn University, CIE Center for International Economics.
11. 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.
12. Anna Khmelnitskaya & Özer Selçuk & Dolf Talman, 2020. "The average covering tree value for directed graph games," Journal of Combinatorial Optimization, Springer, vol. 39(2), pages 315-333, February.
    • Khmelnitskaya, A. & Selcuk, O. & Talman, A.J.J., 2012. "The Average Covering Tree Value for Directed Graph Games," Other publications TiSEM 70db1acb-e05b-41b4-949c-f, Tilburg University, School of Economics and Management.
    • Khmelnitskaya, Anna & Selcuktu, Ozer & Talman, A.J.J., 2020. "The average covering tree value for directed graph games," Other publications TiSEM df006318-c4d7-4ab2-ab07-a, Tilburg University, School of Economics and Management.
    • Khmelnitskaya, A. & Selcuk, O. & Talman, A.J.J., 2012. "The Average Covering Tree Value for Directed Graph Games," Discussion Paper 2012-037, Tilburg University, Center for Economic Research.
13. Mao, Liang, 2016. "The stability and efficiency of direct and star networks in a loan game," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 53-60.
14. 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.
    • 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.
15. Huseynov, T. & Talman, A.J.J., 2012. "The Communication Tree Value for TU-games with Graph Communication," Discussion Paper 2012-095, Tilburg University, Center for Economic Research.
    • Huseynov, T. & Talman, A.J.J., 2012. "The Communication Tree Value for TU-games with Graph Communication," Other publications TiSEM 6ba97d87-1ac6-4af7-a981-a, Tilburg University, School of Economics and Management.
16. Alexander Mayer, 2018. "Luxembourg in the Early Days of the EEC: Null Player or Not?," Games, MDPI, vol. 9(2), pages 1-12, May.
17. Albizuri, M. Josune & Sudhölter, Peter, 2014. "On the Core of Games with Communication Structures," Discussion Papers on Economics 6/2014, University of Southern Denmark, Department of Economics.
18. 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.
    • Sylvain Béal & Eric Rémila & Philippe Solal, 2021. "Allocation rules for cooperative games with restricted communication and a priori unions based on the Myerson value and the average tree solution," Post-Print hal-03422939, HAL.
    • 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," Post-Print hal-04053211, HAL.
19. Liying Kang & Anna Khmelnitskaya & Erfang Shan & Dolf Talman & Guang Zhang, 2023. "The two-step average tree value for graph and hypergraph games," Annals of Operations Research, Springer, vol. 323(1), pages 109-129, April.
    • Kang, Liying & Khmelnitskaya, Anna & Shan, Erfang & Talman, A.J.J. & Zhang, Guang, 2020. "The Two-Step Average Tree Value for Graph and Hypergraph Games," Discussion Paper 2020-018, Tilburg University, Center for Economic Research.
    • Kang, Liying & Khmelnitskaya, Anna & Shan, Erfang & Talman, Dolf & Zhang, Guang, 2023. "The two-step average tree value for graph and hypergraph games," Other publications TiSEM 8a5590f3-8b70-4202-95d9-2, Tilburg University, School of Economics and Management.
    • Kang, Liying & Khmelnitskaya, Anna & Shan, Erfang & Talman, A.J.J. & Zhang, Guang, 2020. "The Two-Step Average Tree Value for Graph and Hypergraph Games," Other publications TiSEM 54b390b3-2713-4a64-874c-8, Tilburg University, School of Economics and Management.
20. Nils Roehl, 2013. "Two-Stage Allocation Rules," Working Papers Dissertations 01, Paderborn University, Faculty of Business Administration and Economics.
21. Bahel, Eric, 2021. "Hyperadditive games and applications to networks or matching problems," Journal of Economic Theory, Elsevier, vol. 191(C).
22. 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.
    • Kang, Liying & Khmelnitskaya, Anna & Shan, Erfang & Talman, A.J.J. & Zhang, Guang, 2020. "The Average Tree value for Hypergraph Games," Discussion Paper 2020-005, Tilburg University, Center for Economic Research.
    • 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.
23. Roger A McCain, 2013. "Value Solutions in Cooperative Games," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8528, August.
24. Richard Baron & Sylvain Béal & Eric Rémila & Philippe Solal, 2011. "Average tree solutions and the distribution of Harsanyi dividends," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 331-349, May.
    • Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2009. "Average tree solutions and the distribution of Harsanyi dividends," MPRA Paper 17909, University Library of Munich, Germany.
    • Richard Baron & Sylvain Béal & Philippe Solal & Éric Rémila, 2010. "Average Tree Solutions and the Distribution of Harsanyi Dividends," Post-Print halshs-00530610, HAL.
    • Richard Baron & Sylvain Béal & Éric Rémila & Philippe Solal, 2011. "Average Tree Solutions and the Distribution of Harsanyi Dividends," Post-Print halshs-00674425, HAL.
    • Richard Baron & Sylvain Béal & Éric Rémila & Philippe Solal, 2011. "Average Tree Solutions and the Distribution of Harsanyi Dividends," Post-Print halshs-00617708, HAL.
25. Baron, Richard & Béal, Sylvain & Remila, Eric & Solal, Philippe, 2008. "Average tree solutions for graph games," MPRA Paper 10189, University Library of Munich, Germany.
    • Richard Baron & Sylvain Béal & Philippe Solal & Éric Rémila, 2008. "Average tree solution for graph games," Post-Print hal-00332537, HAL.
    • Richard Baron & Sylvain Béal & Éric Rémila & Philippe Solal, 2008. "Average tree solutions for graph games," Post-Print hal-00332570, HAL.
26. M. Albizuri & Peter Sudhölter, 2016. "Characterizations of the core of TU and NTU games with communication structures," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(2), pages 451-475, February.
27. 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.
    • 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.
28. Koshevoy, G.A. & Talman, A.J.J., 2011. "Solution Concepts for Games with General Coalitional Structure (Replaces CentER DP 2011-025)," Discussion Paper 2011-119, Tilburg University, Center for Economic Research.
    • Koshevoy, G.A. & Talman, A.J.J., 2011. "Solution Concepts for Games with General Coalitional Structure (Replaces CentER DP 2011-025)," Other publications TiSEM adf30f3d-a79b-4105-9736-c, Tilburg University, School of Economics and Management.
29. Xu Lang & Zaifu Yang, 2023. "Reduced-Form Allocations for Multiple Indivisible Objects under Constraints," Discussion Papers 23/02, Department of Economics, University of York.
30. Koshevoy, Gleb & Talman, Dolf, 2014. "Solution concepts for games with general coalitional structure," Mathematical Social Sciences, Elsevier, vol. 68(C), pages 19-30.
31. 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.
32. 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.
    • 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.
    • Khmelnitskaya, A. & van der Laan, G. & Talman, Dolf, 2016. "Centrality Rewarding Shapley and Myerson Values for Undirected Graph Games," Discussion Paper 2016-035, Tilburg University, Center for Economic Research.
33. Koshevoy, G.A. & Talman, A.J.J., 2011. "Solution Concepts for Games with General Coalitional Structure (Replaced by CentER DP 2011-119)," Discussion Paper 2011-025, Tilburg University, Center for Economic Research.
    • Koshevoy, G.A. & Talman, A.J.J., 2011. "Solution Concepts for Games with General Coalitional Structure (Replaced by CentER DP 2011-119)," Other publications TiSEM 224aa5f2-fc1f-4620-bf0b-1, Tilburg University, School of Economics and Management.
34. 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.
35. 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.
36. S. Ryuo & K. Sato & Y. Yamamoto, 2012. "Parameterized fairness axioms on cycle-free graph games," Journal of Global Optimization, Springer, vol. 52(3), pages 487-497, March.
37. 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.