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Complex Transition to Cooperative Behavior in a Structured Population Model

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  • Luciano Miranda
  • Adauto J F de Souza
  • Fernando F Ferreira
  • Paulo R A Campos

Abstract

Cooperation plays an important role in the evolution of species and human societies. The understanding of the emergence and persistence of cooperation in those systems is a fascinating and fundamental question. Many mechanisms were extensively studied and proposed as supporting cooperation. The current work addresses the role of migration for the maintenance of cooperation in structured populations. This problem is investigated in an evolutionary perspective through the prisoner's dilemma game paradigm. It is found that migration and structure play an essential role in the evolution of the cooperative behavior. The possible outcomes of the model are extinction of the entire population, dominance of the cooperative strategy and coexistence between cooperators and defectors. The coexistence phase is obtained in the range of large migration rates. It is also verified the existence of a critical level of structuring beyond that cooperation is always likely. In resume, we conclude that the increase in the number of demes as well as in the migration rate favor the fixation of the cooperative behavior.

Suggested Citation

  • Luciano Miranda & Adauto J F de Souza & Fernando F Ferreira & Paulo R A Campos, 2012. "Complex Transition to Cooperative Behavior in a Structured Population Model," PLOS ONE, Public Library of Science, vol. 7(6), pages 1-9, June.
    • Handle: RePEc:plo:pone00:0039188
    DOI: 10.1371/journal.pone.0039188
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    References listed on IDEAS

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    3. Zhang, Jianlei & Chen, Xiaojie & Zhang, Chunyan & Wang, Long & Chu, Tianguang, 2010. "Elimination mechanism promotes cooperation in coevolutionary prisoner’s dilemma games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(19), pages 4081-4086.
    4. Julia Poncela & Jesús Gómez-Gardeñes & Luis M Floría & Angel Sánchez & Yamir Moreno, 2008. "Complex Cooperative Networks from Evolutionary Preferential Attachment," PLOS ONE, Public Library of Science, vol. 3(6), pages 1-6, June.
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