One-bound core games

Doudou Gong, Bas Dietzenbacher and Hans Peters
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Bas Dietzenbacher: RS: GSBE other - not theme-related research, QE Math. Economics & Game Theory

No 3, Research Memorandum from Maastricht University, Graduate School of Business and Economics (GSBE)

Abstract: This paper introduces the new class of one-bound core games, where the core can be described by either a lower bound or an upper bound on the payoffs of the players, named lower bound core games and upper bound core games, respectively. We study the relation of the class of one-bound core games with several other classes of games and characterize the new class by the structure of the core and in terms of Davis-Maschler reduced games. We also provide explicit expressions and axiomatic characterizations of the nucleolus for one-bound core games, and show that the nucleolus coincides with the Shapley value when these games are convex.

JEL-codes: C71 (search for similar items in EconPapers)
Date: 2023-04-25
New Economics Papers: this item is included in nep-gth
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Journal Article: One-bound core games (2024)
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Persistent link: https://EconPapers.repec.org/RePEc:unm:umagsb:2023003

DOI: 10.26481/umagsb.2023003

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