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The projection dynamic and the geometry of population games

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  • Lahkar, Ratul
  • Sandholm, William H.

Abstract

The projection dynamic is an evolutionary dynamic for population games. It is derived from a model of individual choice in which agents abandon their current strategies at rates inversely proportional to the strategies' current levels of use. The dynamic admits a simple geometric definition, its rest points coincide with the Nash equilibria of the underlying game, and it converges globally to Nash equilibrium in potential games and in stable games.

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  • Lahkar, Ratul & Sandholm, William H., 2008. "The projection dynamic and the geometry of population games," Games and Economic Behavior, Elsevier, vol. 64(2), pages 565-590, November.
    • Handle: RePEc:eee:gamebe:v:64:y:2008:i:2:p:565-590
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    References listed on IDEAS

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