THE CORE AND CONSISTENCY PROPERTIES: A GENERAL CHARACTERISATION

DOI10.1142/S0219198901000361zbMath1004.91008MaRDI QIDQ2772850

Yukihiko Funaki, Takehiko Yamato

Publication date: 3 February 2003

Published in: International Game Theory Review (Search for Journal in Brave)

zbMATH Keywords

coreTU gamereduced subgame

Mathematics Subject Classification ID

Cooperative games (91A12)

Related Items (14)

Duality and anti-duality in TU games applied to solutions, axioms, and axiomatizations ⋮ Axiomatization of an allocation rule for ordered tree TU-games ⋮ Hart-Mas-Colell consistency and the core in convex games ⋮ Consistency, population solidarity, and egalitarian solutions for TU-games ⋮ Convex decomposition of games and axiomatizations of the core and the D-core ⋮ Random reduction consistency of the Weber set, the core and the anti-core ⋮ Value-free reductions ⋮ Coincidence of the Shapley value with other solutions satisfying covariance ⋮ Axiomatic characterizations of the core without consistency ⋮ Consistency and the core in games with externalities ⋮ Antiduality in exact partition games ⋮ Compromising between the proportional and equal division values ⋮ Axiomatizations of the proportional division value ⋮ Axiomatizations of a class of equal surplus sharing solutions for TU-games

Cites Work

• Game theoretic analysis of a bankruptcy problem from the Talmud
• The separability axiom and equal-sharing methods
• On the reduced game property and its converse
• A study of choice correspondences in economies with a variable number of agents
• Consistency and characterization of the core of two-sided matching problems
• Reduced games, consistency, and the core
• Cooperative games with coalition structures
• A Survey of Consistency Properties in Cooperative Game Theory
• Consistent Solutions in Atomless Economies
• The Nucleolus of a Characteristic Function Game
• The kernel of a cooperative game

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