The Shapley value without efficiency and additivity
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DOI: 10.1016/j.mathsocsci.2013.12.001
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References listed on IDEAS
- Sylvain Béal & Eric Rémila & Philippe Solal, 2015.
"Axioms of invariance for TU-games,"
International Journal of Game Theory, Springer;Game Theory Society, vol. 44(4), pages 891-902, November.
- Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2012. "Axioms of invariance for TU-games," MPRA Paper 41530, University Library of Munich, Germany.
- Sylvain Béal & Éric Rémila & Philippe Solal, 2015. "Axioms of Invariance for TU-games," Post-Print halshs-01096552, HAL.
- Sylvain Béal & Eric Rémila & Philippe Solal, 2012. "Axioms of Invariance for TU-games," Working Papers 2012-01, CRESE.
- Roth, Alvin, 2012.
"The Shapley Value as a von Neumann-Morgenstern Utility,"
Ekonomicheskaya Politika / Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 6, pages 1-9.
- Roth, Alvin E, 1977. "The Shapley Value as a von Neumann-Morgenstern Utility," Econometrica, Econometric Society, vol. 45(3), pages 657-664, April.
- André Casajus, 2011. "Differential marginality, van den Brink fairness, and the Shapley value," Theory and Decision, Springer, vol. 71(2), pages 163-174, August.
- Gérard Hamiache, 2001.
"Associated consistency and Shapley value,"
International Journal of Game Theory, Springer;Game Theory Society, vol. 30(2), pages 279-289.
- Hamiache, G., 1999. "Associated Consistency and Shapley Value," G.R.E.Q.A.M. 99a52, Universite Aix-Marseille III.
- SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Blair, Douglas H. & McLean, Richard P., 1990. "Subjective evaluations of n-person games," Journal of Economic Theory, Elsevier, vol. 50(2), pages 346-361, April.
- Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
- Einy, Ezra & Haimanko, Ori, 2011.
"Characterization of the Shapley–Shubik power index without the efficiency axiom,"
Games and Economic Behavior, Elsevier, vol. 73(2), pages 615-621.
- Ezra Einy & Ori Haimanko, 2010. "Characterization of the Shapley-Shubik Power Index Without the Efficiency Axiom," Working Papers 1004, Ben-Gurion University of the Negev, Department of Economics.
- Yoshio Kamijo & Takumi Kongo, 2010. "Axiomatization of the Shapley value using the balanced cycle contributions property," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(4), pages 563-571, October.
- Ezra Einy, 1987. "Semivalues of Simple Games," Mathematics of Operations Research, INFORMS, vol. 12(2), pages 185-192, May.
- Chun, Youngsub, 1989. "A new axiomatization of the shapley value," Games and Economic Behavior, Elsevier, vol. 1(2), pages 119-130, June.
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- 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.
- Ritu Dutta & Rajnish Kumnar & Surajit Borkotokey, 2023. "How to choose a Compatible Committee?," Papers 2308.03507, arXiv.org.
- de Clippel, Geoffroy, 2018. "Membership separability: A new axiomatization of the Shapley value," Games and Economic Behavior, Elsevier, vol. 108(C), pages 125-129.
- 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.
- 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.
- 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.
- Giulia Bernardi & Josep Freixas, 2018. "The Shapley value analyzed under the Felsenthal and Machover bargaining model," Public Choice, Springer, vol. 176(3), pages 557-565, September.
- Ritu Dutta & Rajnish Kumar & Surajit Borkotokey, 2024. "How to choose a compatible committee?," Public Choice, Springer, vol. 201(1), pages 181-198, October.
- 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.
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