Egalitarianism in Multi-Choice Games

CentER Discussion Paper Series No. 2007-55

19 Pages Posted: 6 Sep 2007

See all articles by Rodica Branzei

Rodica Branzei

'A.l. Cuza' University of Iasi, Romania - Faculty of Computer Sciences

Natividad Llorca

Miguel Hernandez University

Joaquín Sánchez-Soriano

Universidad Miguel Hernández de Elche

Stef H. Tijs

Tilburg University - Center For Economic Research; Tilburg University - Department of Econometrics & Operations Research; Università degli Studi di Genova - Dipartimento di Matematica

Date Written: July 2007

Abstract

In this paper we introduce the equal division core for arbitrary multi-choice games and the constrained egalitarian solution for con- vex multi-choice games, using a multi-choice version of the Dutta-Ray algorithm for traditional convex games. These egalitarian solutions for multi-choice games have similar properties as their counterparts for traditional cooperative games. On the class of convex multi-choice games, we axiomatically characterize the constrained egalitarian solution.

Keywords: Multi-choice games, Convex games, Equal division core, Constrained egalitarian solution

JEL Classification: C71

Suggested Citation

Branzei, Rodica and Llorca Pascual, Natividad and Sánchez-Soriano, Joaquín and Tijs, Stef H., Egalitarianism in Multi-Choice Games (July 2007). CentER Discussion Paper Series No. 2007-55, Available at SSRN: https://ssrn.com/abstract=1012249 or http://dx.doi.org/10.2139/ssrn.1012249

Rodica Branzei

'A.l. Cuza' University of Iasi, Romania - Faculty of Computer Sciences ( email )

Carol I Blvd, Nr.11
Lasi
Romania

Natividad Llorca Pascual

Miguel Hernandez University ( email )

Operations Research Center (CIO)
Avda. de la Universidad, s/n, Torretamarit
03202 Elche, Alicante
Spain

Joaquín Sánchez-Soriano (Contact Author)

Universidad Miguel Hernández de Elche ( email )

Avenida de la Universidad s/n
Elche, Alicante 03202
Spain

Stef H. Tijs

Tilburg University - Center For Economic Research ( email )

P.O. Box 90153
B925
5000 LE Tilburg
Netherlands
+31 13 466 2348 (Phone)

Tilburg University - Department of Econometrics & Operations Research ( email )

Tilburg, 5000 LE
Netherlands

Università degli Studi di Genova - Dipartimento di Matematica

Via Dodecaneso 35
16146 Genoa
Italy

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