Existence of fuzzy cores and generalizations of the K-K-M-S theorem

DOI10.1016/j.jmateco.2014.01.008zbMath1297.91018OpenAlexW1994685856MaRDI QIDQ2452226

Haiyan Tian, Jiuqiang Liu

Publication date: 2 June 2014

Published in: Journal of Mathematical Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmateco.2014.01.008

zbMATH Keywords

NTU gamesbalanced collectionscoresK-K-M-S theoremfuzzy coresNTU fuzzy games

Mathematics Subject Classification ID

Cooperative games (91A12) Game theory (91A99)

Related Items (5)

Coalitional equilibria in coalitional abstract economies with nonordered preferences ⋮ Non-emptiness of the fuzzy core in a finite production economy with infinite-dimensional commodity space ⋮ Intermediate value theorem for simplices for simplicial approximation of fixed points and zeros ⋮ Cooperative Fuzzy Games with Convex Combination Form ⋮ Generalization of the Bolzano theorem for simplices

Cites Work

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• An extremely simple proof of the K-K-M-S theorem
• A necessary and sufficient condition for non-emptiness of the core of a non-transferable utility game
• A necessary and sufficient condition for an NTU fuzzy game to have a non-empty fuzzy core
• Fuzzy cores and fuzzy balancedness
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• Alternative Version of Shapley's Theorem on Closed Coverings of a Simplex
• Models in Cooperative Game Theory
• Cooperative Fuzzy Games
• The Core of an N Person Game
• Some theorems on the core of ann-Game without Side-Payments
• Average monotonic cooperative games

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