Games Arising Form Infinite Production Situations

CentER Discussion Paper Series No. 1999-57

Posted: 21 Feb 2000

See all articles by Judith Timmer

Judith Timmer

University of Twente - Department of Applied Mathematics

Natividad Llorca

Miguel Hernandez University

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: 1999

Abstract

OWEN (1975) introduced linear production (LP) situations and TIMMER,BORM and SUIJS (1998) introduced more general situations involving the linear transformation of products (LTP). They showed that the corresponding LTP games are totally balanced. In this paper we look at LTP situations with an infinite number of transformation techniques. The linear program that calculates the maximal profit, is a semi-infinite program. We show that an optimal solution of the dual program exists and that it is a core-element of the corresponding LTP game.

JEL Classification: C61, C71

Suggested Citation

Timmer, Judith and Llorca Pascual, Natividad and Tijs, Stef H., Games Arising Form Infinite Production Situations (1999). CentER Discussion Paper Series No. 1999-57, Available at SSRN: https://ssrn.com/abstract=199730

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

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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