EXCESS FUNCTIONS FOR COOPERATIVE GAMES WITHOUT SIDEPAYMENTS.

Ehud Kalai

doi:10.1137/0129006

EXCESS FUNCTIONS FOR COOPERATIVE GAMES WITHOUT SIDEPAYMENTS.

Ehud Kalai^*

^*Corresponding author for this work

Managerial Economics, Decision Sciences and Operations

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

20 Scopus citations

Abstract

A family of excess functions is defined for cooperative n-person nonsidepayment games It is shown that by using these excess functions the epsilon -core, kernel, and nucleolus of a nonsidepayment game can be defined in a way that preserves a significant portion of the structure that these concepts exhibit in the sidepayment case. Some excess functions are extensions of the sidepayment games' ″excesses″ . It is also shown that the set of nucleoli that exist for some excess functions is precisely the set of reasonable (in a core sense) outcomes of a game.

Original language	English (US)
Pages (from-to)	60-71
Number of pages	12
Journal	SIAM Journal on Applied Mathematics
Volume	29
Issue number	1
DOIs	https://doi.org/10.1137/0129006
State	Published - Jan 1 1975

ASJC Scopus subject areas

Applied Mathematics

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AB - A family of excess functions is defined for cooperative n-person nonsidepayment games It is shown that by using these excess functions the epsilon -core, kernel, and nucleolus of a nonsidepayment game can be defined in a way that preserves a significant portion of the structure that these concepts exhibit in the sidepayment case. Some excess functions are extensions of the sidepayment games' ″excesses″ . It is also shown that the set of nucleoli that exist for some excess functions is precisely the set of reasonable (in a core sense) outcomes of a game.

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EXCESS FUNCTIONS FOR COOPERATIVE GAMES WITHOUT SIDEPAYMENTS.

Abstract

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