A characterization of the nucleolus for convex games

DOI10.1006/game.1997.0601zbMath0911.90363OpenAlexW2030070800MaRDI QIDQ1268632

Javier Arin, Elena Inarra

Publication date: 1998

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

Full work available at URL: https://doi.org/10.1006/game.1997.0601

zbMATH Keywords

nucleolusconvex gamesbankruptcy gamesanti-partitions

Mathematics Subject Classification ID

Cooperative games (91A12)

Related Items (7)

Absence-proofness: group stability beyond the core ⋮ The nucleolus of trees with revenues ⋮ Characterization sets for the nucleolus in balanced games ⋮ A polynomial time algorithm for computing the nucleolus for a class of disjunctive games with a permission structure ⋮ A monotonic core solution for convex TU games ⋮ A simple algorithm for the nucleolus of airport profit games ⋮ Sharing costs in highways: a game theoretic approach

Cites Work

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• Game theoretic analysis of a bankruptcy problem from the Talmud
• A problem of rights arbitration from the Talmud
• The nucleolus and kernel of veto-rich transferable utility games
• A noncooperative view of consistent bankruptcy rules
• A characterization, existence proof and dimension bounds for the kernel of a game
• Cores of convex games
• The kernel and bargaining set for convex games
• The Structure of the Kernel of a Cooperative Game
• The Nucleolus of a Characteristic Function Game
• The kernel of a cooperative game
• On the Nucleolus of a Characteristic Function Game

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