Evolutionary dynamics in set structured populations

Corina E. Tarnita, Tibor Antal, Hisashi Ohtsuki, Martin A. Nowak

Research output: Contribution to journalArticle

150 Scopus citations

Abstract

Evolutionary dynamics are strongly affected by population structure. The outcome of an evolutionary process in a well-mixed population can be very different from that in a structured population. We introduce a powerful method to study dynamical population structure: evolutionary set theory. The individuals of a population are distributed over sets. Individuals interact with others who are in the same set. Any 2 individuals can have several sets in common. Some sets can be empty, whereas others have many members. Interactions occur in terms of an evolutionary game. The payoff of the game is interpreted as fitness. Both the strategy and the set memberships change under evolutionary updating. Therefore, the population structure itself is a consequence of evolutionary dynamics. We construct a general mathematical approach for studying any evolutionary game in set structured populations. As a particular example, we study the evolution of cooperation and derive precise conditions for cooperators to be selected over defectors.

Original languageEnglish (US)
Pages (from-to)8601-8604
Number of pages4
JournalProceedings of the National Academy of Sciences of the United States of America
Volume106
Issue number21
DOIs
StatePublished - May 26 2009
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General

Keywords

  • Cooperation
  • Game
  • Social behavior
  • Stochastic dynamics

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