In a weakly dominated strategy is strength: Evolution of optimality in stag hunt augmented with a punishment option

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Abstract

I explore the evolution of strategies in an Augmented Stag Hunt game that adds a pun-ishing strategy to the ordinary Stag Hunt strategies of cooperating, which aims for op-timality, and defecting, which “plays it safe.” Cooperating weakly dominates punishing and defecting is the unique evolutionarily stable strategy (ESS). Nevertheless, for a wide class of Augmented Stag Hunts, polymorphic strategies combining punishing and co-operating collectively have greater attracting power for replicator dynamics than that of the ESS. The analysis here lends theoretical support to the altruistic punishment hypoth-esis in the social sciences.

Original languageEnglish (US)
Pages (from-to)29-59
Number of pages31
JournalPhilosophy of Science
Volume83
Issue number1
DOIs
StatePublished - Jan 2016
Externally publishedYes

ASJC Scopus subject areas

  • History
  • Philosophy
  • History and Philosophy of Science

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