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A Stackelberg strategy for routing flow over time

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  • Bhaskar, Umang
  • Fleischer, Lisa
  • Anshelevich, Elliot

Abstract

Routing games are studied to understand the impact of individual users' decisions on network efficiency. Most prior work on efficiency in routing games uses a simplified model where all flows exist simultaneously, and users care about either their maximum delay or their total delay. Both these measures are surrogates for measuring how long it takes to get all of a user's traffic through the network. We attempt a more direct study of network efficiency by examining routing games in a flow over time model. Flows over time are commonly used in transportation research. We show that in this model, by reducing network capacity judiciously, the network owner can ensure that the equilibrium is no worse than a small constant times the optimal in the original network, for two natural measures of optimality. These are the first upper bounds on the price of anarchy in this model for general networks.

Suggested Citation

  • Bhaskar, Umang & Fleischer, Lisa & Anshelevich, Elliot, 2015. "A Stackelberg strategy for routing flow over time," Games and Economic Behavior, Elsevier, vol. 92(C), pages 232-247.
    • Handle: RePEc:eee:gamebe:v:92:y:2015:i:c:p:232-247
    DOI: 10.1016/j.geb.2013.09.004
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    References listed on IDEAS

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    3. José R. Correa & Andreas S. Schulz & Nicolás E. Stier-Moses, 2004. "Selfish Routing in Capacitated Networks," Mathematics of Operations Research, INFORMS, vol. 29(4), pages 961-976, November.
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    Cited by:

    1. Roberto Cominetti & José Correa & Omar Larré, 2015. "Dynamic Equilibria in Fluid Queueing Networks," Operations Research, INFORMS, vol. 63(1), pages 21-34, February.

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    More about this item

    Keywords

    Routing games; Flows over time; Equilibrium; Efficiency;
    All these keywords.

    JEL classification:

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

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