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Congestion network problems and related games

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Author Info
Quant, M.
Borm, P.E.M.
Reijnierse, J.H. (Tilburg University, Center for Economic Research)

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Abstract

This paper analyzes network problems with congestion effects from a cooperative game theoretic perspective. It is shown that for network problems with convex congestion costs, the corresponding games have a non-empty core. If congestion costs are concave, then the corresponding game has not necessarily core elements, but it is derived that, contrary to the convex congestion situation, there always exist optimal tree networks. Extensions of these results to a class of relaxed network problems and associated games are derived.

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Publisher Info
Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 106.

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Date of creation: 2003
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Handle: RePEc:dgr:kubcen:2003106

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Related research
Keywords: congestion; core;

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Borm, P. & Hamers, H. & Hendrickx,, 2001. "Operations research games : a survey," Discussion Paper 45, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  2. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Kleppe, J. & Reijnierse, J.H., 2007. "Public Congestion Network Situations, and Related Games," Discussion Paper 2007-58, Tilburg University, Center for Economic Research. [Downloadable!]
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