The Owen Set and the Core of Semi-Infinite Linear Production Situations

CentER Discussion Paper No. 2000-49

20 Pages Posted: 5 Dec 2000

See all articles by Stef H. Tijs

Stef H. Tijs

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

Judith Timmer

University of Twente - Department of Applied Mathematics

Natividad Llorca

Miguel Hernandez University

J. Sánchez Soriano

Miguel Hernandez University

Date Written: May 2000

Abstract

We study linear production situations with an infinite number of production techniques. Such a situation gives rise to a semi-infinite linear program. Related to this program, we introduce primal and dual games and study relations between these games, the cores of these games and the so-called Owen set.

Keywords: cooperative games, linear production, core, duality gap

JEL Classification: C71, C61

Suggested Citation

Tijs, Stef H. and Timmer, Judith and Llorca Pascual, Natividad and Sánchez Soriano, Joaquín, The Owen Set and the Core of Semi-Infinite Linear Production Situations (May 2000). CentER Discussion Paper No. 2000-49, Available at SSRN: https://ssrn.com/abstract=247005 or http://dx.doi.org/10.2139/ssrn.247005

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

Judith Timmer (Contact Author)

University of Twente - Department of Applied Mathematics ( email )

P.O. Box 217
7500 AE Enschede
Netherlands

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

Miguel Hernandez University ( email )

Elche Campus, Torretamarit Building
Avda. de la Universidad s/n
03202 Elche, E-03202
Spain

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