On the Core of Semi-Infinite Transportation Games with Divisible Goods

CentER Discussion Paper No. 2000-89

19 Pages Posted: 6 Nov 2000

See all articles by J. Sánchez Soriano

J. Sánchez Soriano

Miguel Hernandez University

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

Judith Timmer

University of Twente - Department of Applied Mathematics

Date Written: September 2000

Abstract

The core of games arising from semi-infinite transportation situations with infinitely divisible goods is studied. In these situations one aims at maximizing the profit from transporting a good from a finite number of suppliers to an infinite number of demanders. This good is infinitely divisible. It is shown that the underlying primal and dual infinite programs have no duality gap. Further, there always exist so-called "-core elements in the corresponding cooperative game. Conditions are provided under which the core of the corresponding games is nonempty.

Keywords: Infinite programs, transportation situations, cooperative games, core

JEL Classification: C71, C61

Suggested Citation

Sánchez Soriano, Joaquín and Llorca Pascual, Natividad and Tijs, Stef H. and Timmer, Judith, On the Core of Semi-Infinite Transportation Games with Divisible Goods (September 2000). CentER Discussion Paper No. 2000-89, Available at SSRN: https://ssrn.com/abstract=249009 or http://dx.doi.org/10.2139/ssrn.249009

Joaquín Sánchez Soriano

Miguel Hernandez University ( email )

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

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

Judith Timmer (Contact Author)

University of Twente - Department of Applied Mathematics ( email )

P.O. Box 217
7500 AE Enschede
Netherlands

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