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1 results

  • Multiple-trial conflicts and stochastic evolutionary game dynamics

  • Part of
  • Lorens A. Imhof
  • Journal:
    Advances in Applied Probability / Volume 40 / Issue 4 / December 2008
    Published online by Cambridge University Press:
    01 July 2016, pp. 1174-1197
    Print publication:
    December 2008
    • Article
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  • We consider stochastic replicator processes for games that are composed of finitely many trials. Several general results on the relation between Nash equilibria and the long-run behaviour of the stochastic processes are proved. In particular, a sufficient condition is given for almost sure convergence to a state where everyone plays in every trial a strict Nash equilibrium. The results are applied to multiple-trial conflicts based on wars of attrition and on sperm competition games with fair raffles, respectively.