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Representation of finite games as network congestion games

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Abstract

Weighted network congestion games are a natural model for interactions involving finitely many non-identical users of network resources, such as road segments or communication links. However, in spite of their special form, these games are not fundamentally special: every finite game can be represented as a weighted network congestion game. The same is true for the class of (unweighted) network congestion games with player-specific costs, in which the players differ in their cost functions rather than their weights. The intersection of the two classes consists of the unweighted network congestion games. These games are special: a finite game can be represented in this form if and only if it is an exact potential game. Copyright Springer-Verlag Berlin Heidelberg 2013

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  • Igal Milchtaich, 2013. "Representation of finite games as network congestion games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(4), pages 1085-1096, November.
    • Handle: RePEc:spr:jogath:v:42:y:2013:i:4:p:1085-1096
    DOI: 10.1007/s00182-012-0363-5
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    1. Milchtaich, Igal, 2004. "Random-player games," Games and Economic Behavior, Elsevier, vol. 47(2), pages 353-388, May.
    2. Milchtaich, Igal, 1996. "Congestion Games with Player-Specific Payoff Functions," Games and Economic Behavior, Elsevier, vol. 13(1), pages 111-124, March.
    3. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
    4. Milchtaich, Igal, 2009. "Weighted congestion games with separable preferences," Games and Economic Behavior, Elsevier, vol. 67(2), pages 750-757, November.
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    1. Igal Milchtaich, 2021. "Internalization of social cost in congestion games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(2), pages 717-760, March.
    2. Cominetti, Roberto & Dose, Valerio & Scarsini, Marco, 2024. "Monotonicity of equilibria in nonatomic congestion games," European Journal of Operational Research, Elsevier, vol. 316(2), pages 754-766.

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    More about this item

    Keywords

    Network games; Congestion games; Potential games ; Game isomorphism; C72;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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