Two-bound core games and the nucleolus

Doudou Gong, Bas Dietzenbacher and Hans Peters
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Doudou Gong: RS: GSBE other - not theme-related research, Quantitative Economics

No 20, Research Memorandum from Maastricht University, Graduate School of Business and Economics (GSBE)

Abstract: This paper introduces the new class of two-bound core games, where the core can be described by a lower bound and an upper bound on the payoffs of the players. Many classes of games turn out to be two-bound core games. We show that the core of each two-bound core game can be described equivalently by the pair of exact core bounds, and study to what extent the exact core bounds can be stretched while retaining the core description. We provide explicit expressions of the nucleolus for two-bound core games in terms of all pairs of bounds describing the core, using the Talmud rule for bankruptcy problems, and study to what extent these expressions are robust against game changes.

JEL-codes: C71 (search for similar items in EconPapers)
Date: 2021-12-13
New Economics Papers: this item is included in nep-gth
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Journal Article: Two-bound core games and the nucleolus (2024)
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Persistent link: https://EconPapers.repec.org/RePEc:unm:umagsb:2021020

DOI: 10.26481/umagsb.2021020

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