English, Article, Journal or magazine article edition: Evolutionary Dynamics on Infinite Strategy Spaces Oechssler, Joerg; Joerg Oechssler; Frank Riedel

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Bookmark: http://trove.nla.gov.au/version/49300
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • Evolutionary Dynamics on Infinite Strategy Spaces
Author
  • Oechssler, Joerg
  • Joerg Oechssler
  • Frank Riedel
Physical Description
  • preprint
Notes
  • The study of evolutionary dynamics was so far mainly restricted to finite strategy spaces. In this paper we show that this unsatisfying restriction is unnecessary. We specify a simple condition under which the continuous time replicator dynamics are well defined for the case of infinte strategy spaces. Furthermore, we provide new conditions for the stability of rest points and show that even strict equilibria may be unstable. Finally, we apply this general theory to a number of applications like the Nash demand game, the War of Attrition, linear-quadratic games, the harvest preemption game, and games with mixed strategies.
  • RePEc:bon:bonsfa:606
  • The study of evolutionary dynamics was so far mainly restricted to finite strategy spaces. In this paper we show that this restriction is in most cases unnecessary. We give a mild condition under which the continuous time replicator dynamics are well defined for infinite strategy spaces. Furthermore, we provide conditions for stability of rest points. Finally, we apply this general theory to a number of applications like the Nash demand game, the War of Attrition, Cournot and Bertrand oligopoly games, and mixed strategies.
  • replicator dynamics, evolutionary stability, continuous strategy spaces, oligopoly
  • RePEc:wpa:wuwpga:9805002
Language
  • English
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