Some characterizations of egalitarian solutions on classes of TU-games.
type: Item
instance of: scholarly article
title: Some characterizations of egalitarian solutions on classes of TU-games.
zbMATH Open document ID: 1072.91003
DOI: 10.1016/S0165-4896(03)00051-9
author: J. Arin
author: J. Kuipers
author: Dries Vermeulen
published in: Mathematical Social Sciences
publication date: 2004-02-03T00:00:00Z
review text: First, the authors study core solutions defined on the class of convex TU games. It is shown that the Dutta-Ray (or egalitarian here) solution is the only core solution on this class that satisfies the axioms of (i) independence of irrelevant core allocations, (ii) symmetry, and (iii) continuity. The second part of the paper deals with a particular egalitarian solution: the lexicographically maximal solution (Lmax) on the class of large core games. It is proved that Lmax is the only core solution defined on this class to satisfy the axioms of (i) independence of irrelevant core allocations, (ii) symmetry, and (iv) aggregate monotonicity. A procedure to compute Lmax is also given.
reviewed by: Jérôme Renault
Mathematics Subject Classification ID: 91A12
zbMATH DE Number: 2037197
zbMATH Keywords: TU-game
zbMATH Keywords: egalitarian solutions
zbMATH Keywords: convex games
zbMATH Keywords: large core games
MaRDI profile type: Publication
cites work: An axiomatic approach to egalitarianism in TU-games
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full work available at URL: s0165-4896(03)00051-9
OpenAlex ID: W1994241434
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description: scientific article; zbMATH DE number 2037197