Convex Interval Games

CentER Discussion Paper No. 2008-37

19 Pages Posted: 8 Apr 2008

See all articles by Sirma Zeynep Alparslan-Gok

Sirma Zeynep Alparslan-Gok

Suleyman Demirel University

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

Date Written: April 2008

Abstract

In this paper, convex interval games are introduced and some characterizations are given. Some economic situations leading to convex interval games are discussed. The Weber set and the Shapley value are defined for a suitable class of interval games and their relations with the interval core for convex interval games are established. A square operator is introduced which allows us to obtain interval solutions starting from classical cooperative game theory solutions. It turns out that on the class of convex interval games the square Weber set coincides with the interval core.

Keywords: cooperative games, interval data, convex games, the core, the Weber set, the Shapley value

JEL Classification: C71

Suggested Citation

Alparslan-Gok, Sirma Zeynep and Branzei, Rodica and Tijs, Stef H., Convex Interval Games (April 2008). CentER Discussion Paper No. 2008-37, Available at SSRN: https://ssrn.com/abstract=1117844 or http://dx.doi.org/10.2139/ssrn.1117844

Sirma Zeynep Alparslan-Gok (Contact Author)

Suleyman Demirel University ( email )

Suleyman Demirel University, Faculty of Arts and
Sciences, Mathematics Department
Isparta, 32260
Turkey
902462114282 (Phone)

Rodica Branzei

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

Carol I Blvd, Nr.11
Lasi
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

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