Convex Congestion Network Problems

CentER Discussion Paper No. 2004-59

18 Pages Posted: 3 Sep 2004

See all articles by Marieke Quant

Marieke Quant

Tilburg University - Department of Econometrics & Operations Research

Hans Reijnierse

Tilburg University - Center for Economic Research (CentER); Radboud University Nijmegen - Department of Mathematics

Date Written: July 2004

Abstract

This paper analyzes convex congestion network problems. It is shown that for network problems with convex congestion costs, an algorithm based on a shortest path algorithm, can be used to find an optimal network for any coalition. Furthermore, an easy way of determining if a given network is optimal is provided.

Keywords: Game theory, cooperative games, algorithm

JEL Classification: C63, C71

Suggested Citation

Quant, Marieke and Reijnierse, Hans, Convex Congestion Network Problems (July 2004). CentER Discussion Paper No. 2004-59, Available at SSRN: https://ssrn.com/abstract=585102 or http://dx.doi.org/10.2139/ssrn.585102

Marieke Quant (Contact Author)

Tilburg University - Department of Econometrics & Operations Research ( email )

Tilburg, 5000 LE
Netherlands

Hans Reijnierse

Tilburg University - Center for Economic Research (CentER) ( email )

P.O. Box 90153
Tilburg, 5000 LE
Netherlands

Radboud University Nijmegen - Department of Mathematics ( email )

Nijmegen, 6500 GL
Netherlands

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