A Two-Step Shapley Value For Cooperative Games With Coalition Structures
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DOI: 10.1142/S0219198909002261
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Cited by:
- 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.
- Bourheneddine Ben Dhaou & Abderrahmane Ziad, 2015. "The Free Solidarity Value," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201508, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
- 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.
- Sylvain Béal & Anna Khmelnitskaya & Philippe Solal, 2015. "Two-step values for games with two-level communication structure," Working Papers 2015-02, CRESE.
- Sylvain Béal & Anna Khmelnitskaya & Philippe Solal, 2018. "Two-step values for games with two-level communication structure," Post-Print halshs-01659422, HAL.
- 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.
- 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.
- 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.
- 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.
- André Casajus & Rodrigue Tido Takeng, 2022. "Second-order productivity, second-order payoffs, and the Owen value," Post-Print hal-03798448, HAL.
- 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.
- Sylvain Béal & Éric Rémila & Philippe Solal, 2012. "Fairness and Fairness for Neighbors: The Difference between the Myerson Value and Component-Wise Egalitarian Solutions," Post-Print halshs-00699641, HAL.
- Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2012. "Fairness and fairness for neighbors: the difference between the Myerson value and component-wise egalitarian solutions," MPRA Paper 36857, University Library of Munich, Germany.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Juan Vidal-Puga, 2005. "The Harsanyi paradox and the 'right to talk' in bargaining among coalitions," Game Theory and Information 0501005, University Library of Munich, Germany.
- Shi, Jilei & Shan, Erfang, 2020. "Weighted component-wise solutions for graph games," Economics Letters, Elsevier, vol. 192(C).
- 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.
- Tobias Hiller, 2023. "Training, Abilities and the Structure of Teams," Games, MDPI, vol. 14(3), pages 1-8, May.
- 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.
- 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.
- 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.
- 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.
- 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.
More about this item
Keywords
Cooperative game; coalition structure; two-step Shapley value; JEL Classification: C71;All these keywords.
JEL classification:
- B4 - Schools of Economic Thought and Methodology - - Economic Methodology
- C0 - Mathematical and Quantitative Methods - - General
- C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
- C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
- D5 - Microeconomics - - General Equilibrium and Disequilibrium
- D7 - Microeconomics - - Analysis of Collective Decision-Making
- M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics
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