A new axiomatization of the Shapley value

DOI10.1016/0899-8256(89)90014-6zbMath0755.90095OpenAlexW1969010088MaRDI QIDQ1191817

Youngsub Chun

Publication date: 27 September 1992

Published in: Games and Economic Behavior (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0899-8256(89)90014-6

zbMATH Keywords

efficiencyShapley valuetrivialitycoalitional strategic equivalencefair rankingtransferable utility coalitional form games

Mathematics Subject Classification ID

Cooperative games (91A12)

Related Items (36)

Duality and anti-duality in TU games applied to solutions, axioms, and axiomatizations ⋮ ALLOCATION OF FIXED COSTS: CHARACTERIZATION OF THE (DUAL) WEIGHTED SHAPLEY VALUE ⋮ A new basis and the Shapley value ⋮ A value for partially defined cooperative games ⋮ The Shapley value for shortest path games: a non-graph-based approach ⋮ SOME RELATIONS AMONG VALUES, INTERACTIONS, AND DECOMPOSABILITY OF NON-ADDITIVE MEASURES ⋮ Axiomatizations and a Noncooperative Interpretation of the α-CIS Value ⋮ Membership separability: a new axiomatization of the Shapley value ⋮ Two characterizations of the consistent egalitarian solution and of the core on NTU games ⋮ The interval Shapley value of an M/M/1 service system ⋮ The weighted-egalitarian Shapley values ⋮ Axioms of invariance for TU-games ⋮ Second-order productivity, second-order payoffs, and the Owen value ⋮ Modularity and monotonicity of games ⋮ Axiomatizations of the proportional Shapley value ⋮ Players indifferent to cooperate and characterizations of the Shapley value ⋮ 1-convex extensions of incomplete cooperative games and the average value ⋮ Marginality and the position value ⋮ Population solidarity, population fair-ranking, and the egalitarian value ⋮ A new value for cooperative games based on coalition size ⋮ Parallel axiomatizations of weighted and multiweighted Shapley values, random order values, and the Harsanyi set ⋮ The Shapley value without efficiency and additivity ⋮ The balanced contributions property for symmetric players ⋮ On the symmetric and weighted Shapley values ⋮ Weak differential marginality and the Shapley value ⋮ Differential marginality, van den Brink fairness, and the Shapley value ⋮ Null, nullifying, or dummifying players: the difference between the Shapley value, the equal division value, and the equal surplus division value ⋮ New axiomatizations of the Owen value ⋮ Redistribution to the less productive: parallel characterizations of the egalitarian Shapley and consensus values ⋮ Marginality and Myerson values ⋮ Egalitarian allocation and players of certain type ⋮ Axiomatizations of a class of equal surplus sharing solutions for TU-games ⋮ Marginalist and efficient values for TU games ⋮ A decomposition of the space of TU-games using addition and transfer invariance ⋮ Solidarity within a fixed community ⋮ New Characterizations of the Discounted Shapley Values

Cites Work

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• Monotonic solutions of cooperative games
• Game theoretic analysis of a bankruptcy problem from the Talmud
• On weighted Shapley values
• The manipulability of the Shapley-value
• A noncooperative justification for egalitarian surplus sharing
• Incentives, Decentralized Control, the Assignment of Joint Costs and Internal Pricing
• The Shapley Value as a von Neumann-Morgenstern Utility

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