Convex Multi-Choice Cooperative Games and Their Monotonic Allocation Schemes

CentER Discussion Paper Series No. 2007-54

13 Pages Posted: 6 Sep 2007

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

J.M. Zarzuelo

The University of the Basque Country

Date Written: July 2007

Abstract

This paper focuses on new characterizations of convex multi-choice games using the notions of exactness and superadditivity. Further- more, (level-increase) monotonic allocation schemes (limas) on the class of convex multi-choice games are introduced and studied. It turns out that each element of the Weber set of such a game is ex- tendable to a limas, and the (total) Shapley value for multi-choice games generates a limas for each convex multi-choice game.

Keywords: Multi-choice games, Convex games, Marginal games, Weber set, Monotonic allocation schemes

JEL Classification: C71

Suggested Citation

Branzei, Rodica and Tijs, Stef H. and Zarzuelo, José Manuel, Convex Multi-Choice Cooperative Games and Their Monotonic Allocation Schemes (July 2007). CentER Discussion Paper Series No. 2007-54, Available at SSRN: https://ssrn.com/abstract=1012247 or http://dx.doi.org/10.2139/ssrn.1012247

Rodica Branzei (Contact Author)

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

Carol I Blvd, Nr.11
Iasi
Romania

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

José Manuel Zarzuelo

The University of the Basque Country ( email )

Avda. Lehendakari Aguirre 83
E-48015 Bilbao, Vizcaya
Spain
34-946013621 (Phone)
34-946017028 (Fax)

HOME PAGE: http://www.ehu.es/zarzuelo

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