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Matthew Effect of the Random Drift on the Evolution of Cooperation

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  • Chao Liu
  • Rong Li

Abstract

The effect of the random drift on the evolutionary prisoner’s dilemma game is studied on regular lattices. A new evolutionary rule is proposed, which stochastically combines the deterministic rule with the random drift rule. It is found that the random drift has an effect on the evolutionary dynamics depending on the values of the temptation-to-defect and the probability of the random drift. When the random drift occurs with low probabilities, which interests us more, a phenomenon of the Matthew effect on the evolution of cooperation is found. Explanations of this phenomenon are deduced through the analysis on the dynamics and pattern formations of the PDG system.

Suggested Citation

  • Chao Liu & Rong Li, 2014. "Matthew Effect of the Random Drift on the Evolution of Cooperation," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-8, February.
    • Handle: RePEc:hin:jnlmpe:730652
    DOI: 10.1155/2014/730652
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