Multi-Choice Total Clan Games: Characterizations and Solution Concepts

CentER Discussion Paper No. 2007-77

19 Pages Posted: 29 Oct 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: October 2007

Abstract

This paper deals with a new class of multi-choice games, the class of multi-choice total clan games. The structure of the core of a multi-choice clan game is explicitly described. Furthermore, characterizations of multi-choice total clan games are given and bi-monotonic allocation schemes related to players' levels are introduced for such games. It turns out that some elements in the core of a multi-choice total clan game are extendable to such bi-monotonic allocation schemes via suitable compensation-sharing rules on the domain of multi-choice (total) clan games.

Keywords: Multi-choice games, Clan games, Monotonic allocation schemes

JEL Classification: C71

Suggested Citation

Branzei, Rodica and Llorca Pascual, Natividad and Sánchez-Soriano, Joaquín and Tijs, Stef H., Multi-Choice Total Clan Games: Characterizations and Solution Concepts (October 2007). CentER Discussion Paper No. 2007-77, Available at SSRN: https://ssrn.com/abstract=1025393 or http://dx.doi.org/10.2139/ssrn.1025393

Rodica Branzei (Contact Author)

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

Carol I Blvd, Nr.11
Iasi
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

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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