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A Two-Step Shapley Value For Cooperative Games With Coalition Structures

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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. René Brink & Anna Khmelnitskaya & Gerard Laan, 2016. "An Owen-type value for games with two-level communication structure," Annals of Operations Research, Springer, vol. 243(1), pages 179-198, August.
  3. Abe, Takaaki & Nakada, Satoshi, 2023. "The in-group egalitarian Owen values," Games and Economic Behavior, Elsevier, vol. 142(C), pages 1-16.
  4. Gérard Hamiache, 2012. "A Matrix Approach to TU Games with Coalition and Communication Structures," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(1), pages 85-100, January.
  5. Vidal-Puga, Juan, 2012. "The Harsanyi paradox and the “right to talk” in bargaining among coalitions," Mathematical Social Sciences, Elsevier, vol. 64(3), pages 214-224.
  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. 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.
  8. Abe, Takaaki, 2024. "Equal surplus sharing values for games with coalition structures," Economics Letters, Elsevier, vol. 240(C).
  9. Sylvain Béal & Anna Khmelnitskaya & Philippe Solal, 2018. "Two-step values for games with two-level communication structure," Journal of Combinatorial Optimization, Springer, vol. 35(2), pages 563-587, February.
  10. Bourheneddine Ben Dhaou & Abderrahmane Ziad, 2015. "The Free Solidarity Value," Economics Working Paper Archive (University of Rennes & University of Caen) 201508, Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS.
  11. André Casajus & Rodrigue Tido Takeng, 2023. "Second-order productivity, second-order payoffs, and the Owen value," Annals of Operations Research, Springer, vol. 320(1), pages 1-13, January.
  12. 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.
  13. Michael Jones & Jennifer Wilson, 2013. "Two-step coalition values for multichoice games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 77(1), pages 65-99, February.
  14. Shi, Jilei & Shan, Erfang, 2020. "Weighted component-wise solutions for graph games," Economics Letters, Elsevier, vol. 192(C).
  15. Gómez-Rodríguez, Marcos & Davila-Pena, Laura & Casas-Méndez, Balbina, 2024. "Cost allocation problems on highways with grouped users," European Journal of Operational Research, Elsevier, vol. 316(2), pages 667-679.
  16. André Casajus & Rodrigue Tido Takeng, 2022. "Second-order productivity, second-order payoffs, and the Owen value," Post-Print hal-03798448, HAL.
  17. 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.
  18. 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.
  19. 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.
  20. 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.
  21. Takaaki Abe, 2018. "Stable coalition structures in symmetric majority games: a coincidence between myopia and farsightedness," Theory and Decision, Springer, vol. 85(3), pages 353-374, October.
  22. 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.
  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. Dangxing Chen & Jingfeng Chen & Weicheng Ye, 2024. "Why Groups Matter: Necessity of Group Structures in Attributions," Papers 2408.05701, arXiv.org.
  25. Takaaki Abe, 2019. "Stable Coalition Structures: Characterizations and Applications of Hart and Kurz's Four Stability Concepts," Working Papers 1812, Waseda University, Faculty of Political Science and Economics.
  26. Takumi Kongo, 2010. "Difference between the position value and the Myerson value is due to the existence of coalition structures," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(4), pages 669-675, October.
  27. Silvia Lorenzo-Freire, 2017. "New characterizations of the Owen and Banzhaf–Owen values using the intracoalitional balanced contributions property," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(3), pages 579-600, October.
  28. 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.
  29. Tobias Hiller, 2023. "Training, Abilities and the Structure of Teams," Games, MDPI, vol. 14(3), pages 1-8, May.
  30. Casajus, André & La Mura, Pierfrancesco, 2024. "Null players, outside options, and stability: The conditional Shapley value," Journal of Mathematical Economics, Elsevier, vol. 110(C).
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