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Evolutionary Game Theory




The common methodology to study the evolutionary dynamics in games is through Replicator Equation s. Replicator equations assume Infinite Populations , Continuous Time , Complete Mixing and that Strategies Breed True . The Attractor s (stable fixed points) of the equations are equivalent with Evolutionarily Stable State s.


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REFERENCES


  • Maynard Smith, J. (1982) '' Evolution And The Theory Of Games ''.

  • P. Hammerstein and R. Selten , "Game theory and evolutionary biology", in Handbook of Game Theory with Economic Applications, R. J. Aumann and S. Hart, Eds. (Elsevier, Amsterdam, 1994), vol. 2, pp. 929-993

  • Hofbauer, J. and Sigmund, K. (1998) ''Evolutionary games and population dynamics'', Cambridge University Press

  • Taylor, P. D. (1979). ''Evolutionarily Stable Strategies with Two Types of Players'' J. Appl. Prob. 16, 76-83.

  • Taylor, P. D., and Jonker, L. B. (1978). ''Evolutionarily Stable Strategies and Game Dynamics'' Math. Biosci. 40, 145-156.

  • Weibull, J. W. (1995) ''Evolutionary game theory'', MIT Press



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