Generalized projection dynamics in evolutionary game theory

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Abstract

We introduce the ray-projection dynamics in evolutionary gametheory by employing a ray projection of the relative fitness (vector)function both locally and globally. By global (local) ray projection wemean a projection of the vector (close to the unit simplex) unto the unitsimplex along a ray through the origin. For these dynamics, we provethat every interior evolutionarily stable strategy is an asymptoticallystable fixed point, and that every strict equilibrium is an evolutionarilystable state and an evolutionarily stable equilibrium.Then, we employ these projections on a set of functions related tothe relative fitness function which yields a class containing e.g., best-response, logit, replicator, and Brown-Von-Neumann dynamics.
Original languageEnglish
Place of PublicationEnschede, the Netherlands
PublisherUniversity of Twente
Number of pages23
Publication statusPublished - 30 Jan 2009

Keywords

  • Dynamic and evolutionary stability
  • Ray-projection dynamics
  • Evolutionary games

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