Differences in dynamics between discrete strategies and continuous strategies in a multi-player game with a linear payoff structure

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12 Citations (Scopus)

Abstract

A deductive analysis concerning replicator dynamics proved that a continuous strategy game (in which a player chooses an arbitrary real number between [0, 1] as a cooperative fraction) has the same equilibrium as a discrete strategy game (in which a player chooses only C or D), which has the same linear payoff structure as a continuous strategy game. The deduction is shown for two-player and multi-player games.

Original languageEnglish
Pages (from-to)568-572
Number of pages5
JournalBioSystems
Volume90
Issue number2
DOIs
Publication statusPublished - Sep 2007

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modelling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Applied Mathematics

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