EXCESS FUNCTIONS FOR COOPERATIVE GAMES WITHOUT SIDEPAYMENTS.

Ehud Kalai*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)60-71
Number of pages12
JournalSIAM Journal on Applied Mathematics
Volume29
Issue number1
DOIs
StatePublished - Jan 1 1975

ASJC Scopus subject areas

  • Applied Mathematics

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