Generalized projection dynamics in evolutionary game theory

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Abstract

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

Publication series

Name
PublisherUniversity of Twente

Keywords

  • IR-97453
  • dynamic and evolutionary stability
  • ray-projection dynamics
  • Evolutionary games

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