Reduced two-bound core games

Doudou Gong; Bas Dietzenbacher; Hans Peters

doi:10.1007/s00186-022-00800-1

Reduced two-bound core games

Doudou Gong
, Bas Dietzenbacher^*
, Hans Peters

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	English
Pages (from-to)	447-457
Number of pages	11
Journal	Mathematical Methods of Operations Research
Volume	96
Issue number	3
DOIs	https://doi.org/10.1007/s00186-022-00800-1
Publication status	Published - Dec 2022

JEL classifications

c71 - Cooperative Games

Keywords

two-bound core games
reduced games
axiomatic analysis

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10.1007/s00186-022-00800-1Licence: CC BY

Reduced two-bound core games
Gong, D., Dietzenbacher, B. & Peters, H., 20 Jan 2022, Maastricht University, Graduate School of Business and Economics, 13 p. (GSBE Research Memoranda; No. 001).
Research output: Working paper / Preprint › Working paper

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AB - 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.

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KW - axiomatic analysis

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Reduced two-bound core games

Abstract

JEL classifications

Keywords

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Research output

Reduced two-bound core games

Cite this