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An axiomatization of the Shapley value using a fairness property

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  1. Di Giannatale, Paolo & Passarelli, Francesco, 2013. "Voting chances instead of voting weights," Mathematical Social Sciences, Elsevier, vol. 65(3), pages 164-173.
  2. Béal, Sylvain & Deschamps, Marc & Diss, Mostapha & Tido Takeng, Rodrigue, 2025. "Cooperative games with diversity constraints," Journal of Mathematical Economics, Elsevier, vol. 116(C).
  3. Chessa, Michela & Hanaki, Nobuyuki & Lardon, Aymeric & Yamada, Takashi, 2023. "An experiment on the Nash program: A comparison of two strategic mechanisms implementing the Shapley value," Games and Economic Behavior, Elsevier, vol. 141(C), pages 88-104.
  4. Laszlo A. Koczy & Miklos Pinter, 2011. "The men who weren't even there: Legislative voting with absentees," CERS-IE WORKING PAPERS 1129, Institute of Economics, Centre for Economic and Regional Studies.
  5. 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.
  6. 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.
  7. 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.
  8. Sylvain Béal & Mostapha Diss & Rodrigue Tido Takeng, 2025. "New axiomatizations of the Diversity Owen and Shapley values," International Journal of Game Theory, Springer;Game Theory Society, vol. 54(1), pages 1-16, June.
  9. 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.
  10. Pierre Dehez, 2011. "Allocation Of Fixed Costs: Characterization Of The (Dual) Weighted Shapley Value," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 141-157.
  11. van den Brink, René & Núñez, Marina & Robles, Francisco, 2021. "Valuation monotonicity, fairness and stability in assignment problems," Journal of Economic Theory, Elsevier, vol. 195(C).
  12. 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.
  13. Selçuk, O., 2014. "Structural restrictions in cooperation," Other publications TiSEM 0da8d0d3-08c2-4f86-92a1-3, Tilburg University, School of Economics and Management.
  14. 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.
  15. 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).
  16. 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.
  17. László Csató, 2018. "Characterization of an inconsistency ranking for pairwise comparison matrices," Annals of Operations Research, Springer, vol. 261(1), pages 155-165, February.
  18. 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).
  19. 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.
  20. Márkus, Judit & Pintér, Miklós & Radványi, Anna, 2011. "The Shapley value for airport and irrigation games," MPRA Paper 30031, University Library of Munich, Germany.
  21. Dongshuang Hou & Aymeric Lardon & Theo Driessen, 2025. "Convexity and the Shapley value of Bertrand oligopoly TU-games in $$\beta$$ β -characteristic function form," Theory and Decision, Springer, vol. 98(4), pages 519-536, June.
  22. Yokote, Koji & Funaki, Yukihiko & Kamijo, Yoshio, 2016. "A new basis and the Shapley value," Mathematical Social Sciences, Elsevier, vol. 80(C), pages 21-24.
  23. Harald Wiese, 2012. "Values with exogenous payments," Theory and Decision, Springer, vol. 72(4), pages 485-508, April.
  24. André Casajus, 2011. "Marginality, differential marginality, and the Banzhaf value," Theory and Decision, Springer, vol. 71(3), pages 365-372, September.
  25. Zou, Zhengxing & van den Brink, René, 2020. "Equal loss under separatorization and egalitarian values," Economics Letters, Elsevier, vol. 194(C).
  26. 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.
  27. André Casajus, 2011. "Differential marginality, van den Brink fairness, and the Shapley value," Theory and Decision, Springer, vol. 71(2), pages 163-174, August.
  28. 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.
  29. 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.
  30. 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.
  31. Zou, Zhengxing & Tan, Zhibin, 2023. "Axiomatizations of convex compromise rules for redistribution of non-negative income," Economics Letters, Elsevier, vol. 229(C).
  32. 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.
  33. Songtao He & Erfang Shan & Hanqi Zhou, 2025. "Highly mutually dependent unions and new axiomatizations of the Owen value," Papers 2504.14230, arXiv.org.
  34. 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).
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