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The evolution of cooperation in mixed games

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  • Wardil, Lucas
  • da Silva, Jafferson K.L.

Abstract

Cooperation has been studied in the context of game evolutionary theory by assuming that individuals play always the same game. Here we consider a mixture of two games G1 and G2. In each interaction of two individuals, they can play the games G1 or G2 with probabilities w and 1-w, respectively. We define the evolutionary model and study the cooperation evolution in a well-mixed population and in a cycle. We show that in the well-mixed population the evolution is equivalent to the evolution given by the average game. In a cycle, we show that the intensity of selection plays an important role in the promotion or inhibition of cooperation, depending on the games that are mixed.

Suggested Citation

  • Wardil, Lucas & da Silva, Jafferson K.L., 2013. "The evolution of cooperation in mixed games," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 160-165.
  • Handle: RePEc:eee:chsofr:v:56:y:2013:i:c:p:160-165
    DOI: 10.1016/j.chaos.2013.07.018
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    Cited by:

    1. Li, Li & Jiang, Li, 2022. "Saving costs and improving selling through competitor cooperation in sourcing," European Journal of Operational Research, Elsevier, vol. 302(3), pages 970-982.
    2. Szabó, György & Hódsági, Kristóf, 2016. "The role of mixed strategies in spatial evolutionary games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 198-206.
    3. Dhiman, Aman & Poria, Swarup, 2018. "Allee effect induced diversity in evolutionary dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 32-38.
    4. Hu, Kaipeng & Guo, Hao & Geng, Yini & Shi, Lei, 2019. "The effect of conformity on the evolution of cooperation in multigame," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 267-272.

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