Big Boss Interval Games

CentER Discussion Paper Series No. 2008-47

17 Pages Posted: 27 May 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: May 2008

Abstract

In this paper big boss interval games are introduced and various characterizations are given. The structure of the core of a big boss interval game is explicitly described and plays an important role relative to interval-type bi-monotonic allocation schemes for such games. Specifically, each element of the interval core of a big boss interval game is extendable to a bi-monotonic allocation scheme. Furthermore, on the class of big boss interval games two interval solution concepts of value type are defined which can be seen as extensions of the compromise value and the AL-value to the interval setting. It turns out that these interval solutions coincide and generate a bi-monotonic allocation scheme for each big boss interval game.

Keywords: cooperative games, interval data, big boss games, bi-monotonic allocation schemes, the AL-value, the compromise value

JEL Classification: C71

Suggested Citation

Alparslan-Gok, Sirma Zeynep and Branzei, Rodica and Tijs, Stef H., Big Boss Interval Games (May 2008). CentER Discussion Paper Series No. 2008-47, Available at SSRN: https://ssrn.com/abstract=1135214 or http://dx.doi.org/10.2139/ssrn.1135214

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
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

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