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

Sánchez-Soriano, Joaquín; Llorca, Natividad; Tijs, Stef H.; Timmer, Judith

doi:10.2139/ssrn.249009

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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 Joaquín Sánchez-Soriano

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: 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