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Emergence of Cooperation in the thermodynamic limit

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  • Colin Benjamin
  • Shubhayan Sarkar

Abstract

Predicting how cooperative behavior arises in the thermodynamic limit is one of the outstanding problems in evolutionary game theory. For two player games, cooperation is seldom the Nash equilibrium. However, in the thermodynamic limit cooperation is the natural recourse regardless of whether we are dealing with humans or animals. In this work, we use the analogy with the Ising model to predict how cooperation arises in the thermodynamic limit.

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  • Colin Benjamin & Shubhayan Sarkar, 2018. "Emergence of Cooperation in the thermodynamic limit," Papers 1803.10083, arXiv.org, revised Mar 2020.
  • Handle: RePEc:arx:papers:1803.10083
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    File URL: http://arxiv.org/pdf/1803.10083
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    1. Colin Benjamin & Arjun Krishnan U.M., 2023. "Nash equilibrium mapping vs. Hamiltonian dynamics vs. Darwinian evolution for some social dilemma games in the thermodynamic limit," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(7), pages 1-16, July.

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