Reduced two-bound core games

Doudou Gong; Bas Dietzenbacher; Hans Peters

doi:10.26481/umagsb.2022001

Reduced two-bound core games

Doudou Gong, Bas Dietzenbacher, Hans Peters

Research output: Working paper / Preprint › Working paper

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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
Publisher	Maastricht University, Graduate School of Business and Economics
Number of pages	13
DOIs	https://doi.org/10.26481/umagsb.2022001
Publication status	Published - 20 Jan 2022

Publication series

Series	GSBE Research Memoranda
Number	001
ISSN	2666-8807

JEL classifications

c71 - Cooperative Games

Keywords

two-bound core games
reduced games
axiomatic analysis

Access to Document

10.26481/umagsb.2022001

RM22001Final published version, 550 KB

1 Article

Reduced two-bound core games
Gong, D., Dietzenbacher, B. & Peters, H., Dec 2022, In: Mathematical Methods of Operations Research. 96, 3, p. 447-457 11 p.
Research output: Contribution to journal › Article › Academic › peer-review

Open Access

Cite this

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