Counting stable strategies in random evolutionary games

  • Authors:
  • Spyros Kontogiannis;Paul Spirakis

  • Affiliations:
  • ,Computer Science Department, University of Ioannina, Ioannina, Greece;Research Academic Computer Technology Institute, Rio-Patra, Greece

  • Venue:
  • ISAAC'05 Proceedings of the 16th international conference on Algorithms and Computation
  • Year:
  • 2005

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Abstract

In this paper we study the notion of the Evolutionary Stable Strategies (ESS) in evolutionary games and we demonstrate their qualitative difference from the Nash Equilibria, by showing that a random evolutionary game has on average exponentially less number of ESS than the number of Nash Equilibria in the underlying symmetric 2-person game with random payoffs.