A Technical Note on Lorenz Dominance in Cooperative Games

CentER Discussion Paper Series No. 2010-101

12 Pages Posted: 11 Oct 2010

See all articles by Rodica Branzei

Rodica Branzei

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

Stef H. Tijs

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

Joaquín Sánchez-Soriano

Universidad Miguel Hernández de Elche

Natividad Llorca

Miguel Hernandez University

Date Written: September 24, 2010

Abstract

In this paper we provide some technical results related to the Lorenz dominance, which allow to prove that the allocation obtained by the algorithm in Dutta and Ray (1989), when exists, and the elements of the equal split-off set always Lorenz dominate every allocation in the core of the game.

Keywords: Cooperative Games, Lorenz Dominance, Egalitarianism, Constrained Egalitarian Solution, Equal Split-Off Set

JEL Classification: C71

Suggested Citation

Branzei, Rodica and Tijs, Stef H. and Sánchez-Soriano, Joaquín and Llorca Pascual, Natividad, A Technical Note on Lorenz Dominance in Cooperative Games (September 24, 2010). CentER Discussion Paper Series No. 2010-101, Available at SSRN: https://ssrn.com/abstract=1690560 or http://dx.doi.org/10.2139/ssrn.1690560

Rodica Branzei

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

Carol I Blvd, Nr.11
Iasi
Romania

Stef H. Tijs (Contact Author)

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

Joaquín Sánchez-Soriano

Universidad Miguel Hernández de Elche ( email )

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

Natividad Llorca Pascual

Miguel Hernandez University ( email )

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

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