An Axiomatic Approach to Egalitarianism in TU-Games

J. Arin, J. Kuipers, A.J. Vermeulen

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)

Abstract

A core concept is a solution concept on the class of balanced games that exclusively selects core allocations. We show that every continuous core concept that satisfies both the equal treatment property and a new property called independence of irrelevant core allocations (iic) necessarily selects egalitarian allocations. Iic requires that, if the core concept selects a certain core allocation for a given game, and this allocation is still a core allocation for a new game with a core that is contained in the core of the first game, then the core concept also chooses this allocation as the solution to the new game. When we replace the continuity requirement by a weak version of additivity we obtain an axiomatization of the egalitarian solution concept that assigns to each balanced game the core allocation minimizing the euclidean distance to the equal share allocation.
Original languageEnglish
Pages (from-to)565-580
Number of pages16
JournalInternational Journal of Game Theory
Volume37
DOIs
Publication statusPublished - 1 Jan 2008

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