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How Levy flights triggered by presence of defectors affect evolution of cooperation in spatial games

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 نشر من قبل Genki Ichinose
 تاريخ النشر 2021
  مجال البحث علم الأحياء فيزياء
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Cooperation among individuals has been key to sustaining societies. However, natural selection favors defection over cooperation. Cooperation can be favored when the mobility of individuals allows cooperators to form a cluster (or group). Mobility patterns of animals sometimes follow a Levy flight. A Levy flight is a kind of random walk but it is composed of many small movements with a few big movements. Here, we developed an agent-based model in a square lattice where agents perform Levy flights depending on the fraction of neighboring defectors. For comparison, we also tested normal-type movements implemented by a uniform distribution. We focus on how the sensitivity to defectors when performing Levy flights promotes the evolution of cooperation. Results of evolutionary simulations showed that Levy flights outperformed normal movements for cooperation in all sensitivities. In Levy flights, cooperation was most promoted when the sensitivity to defectors was moderate. Finally, as the population density became larger, higher sensitivity was more beneficial for cooperation to evolve.

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