Contagion and state dependent mutations

In Ho Lee, Adam Szeidl, Akos Valentinyi

Research output: Contribution to journalArticlepeer-review

Abstract (may include machine translation)

Early results of evolutionary game theory showed that the risk dominant equilibrium is uniquely selected in the long run under the best-response dynamics with mutation. Bergin and Lipman (1996) qualified this result by showing that for a given population size, the evolutionary process can select any strict Nash equilibrium if the probability of choosing a nonbest response is state-dependent. This paper shows that the unique selection of the risk dominant equilibrium is robust with respect to state dependent mutation in local interaction games. More precisely, for any given mutation structure there exists a minimum population size beyond which the risk dominant equilibrium is uniquely selected. Our result is driven by contagion and cohesion among players, which exist only in local interaction settings and favor the risk dominant strategy. Our result strengthens the equilibrium selection result of evolutionary game theory.

Original languageEnglish
Article number2
JournalAdvances in Theoretical Economics
Volume3
Issue number1
DOIs
StatePublished - 2003
Externally publishedYes

Keywords

  • Contagion
  • Local interaction games
  • Risk dominance
  • State dependent mutations

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