Reduced two-bound core games

Doudou Gong (), Bas Dietzenbacher () and Hans Peters
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Doudou Gong: Northwestern Polytechnical University
Bas Dietzenbacher: Maastricht University

Mathematical Methods of Operations Research, 2022, vol. 96, issue 3, No 5, 447-457

Abstract: Abstract This paper studies Davis–Maschler reduced games of two-bound core games and shows that all these reduced games with respect to core elements are two-bound core games with the same pair of bounds. Based on associated reduced game properties, we axiomatically characterize the core, the nucleolus, and the egalitarian core for two-bound core games. Moreover, we show that the egalitarian core for two-bound core games is single-valued and we provide an explicit expression.

Keywords: Two-bound core games; Reduced games; Axiomatic analysis (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s00186-022-00800-1

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