Network topology and equilibrium existence in weighted network congestion games

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Abstract

Every finite game can be represented as a weighted network congestion game on some undirected two-terminal network. The network topology may reflect certain properties of the game. This paper solves the topological equilibrium-existence problem of identifying all networks on which every weighted network congestion game has a pure-strategy equilibrium.

Original languageEnglish
Pages (from-to)515-541
Number of pages27
JournalInternational Journal of Game Theory
Volume44
Issue number3
Early online date4 Sep 2014
DOIs
StatePublished - 31 Aug 2015

Bibliographical note

Publisher Copyright:
© 2014, Springer-Verlag Berlin Heidelberg.

Funding

I thank a referee and an Associate Editor for their comments. This research was supported by the Israel Science Foundation (Grants No. 1082/06 and 1167/12).

FundersFunder number
Israel Science Foundation
Israel Science Foundation1082/06, 1167/12

    Keywords

    • Congestion games
    • Existence of pure-strategy equilibrium
    • Finite improvement property
    • Network games

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