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The geometrical patterns of cooperation evolution in the spatial prisoner's dilemma: An intra-group model

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  • Oliveira dos Santos Soares, Ricardo
  • Martinez, Alexandre Souto

Abstract

The prisoner's dilemma (PD) deals with the behavior conflict between two agents, who can either cooperate (cooperators) or defect. If both agents cooperate (defect), they have a unitary (null) payoff. Otherwise the payoff is T for the defector and null for the cooperator. The temptation T to defect is the only free parameter in the model. Here the agents are represented by the cells of a L×L lattice. The agent behaviors are initially randomly distributed according to an initial proportion of cooperators ρc(0). Each agent has no memory of previous behaviors and plays the PD with his/her eight nearest neighbors. At each generation, the considered agent copies the behavior of those who have secured the highest payoff. Once the PD conflict has been established (1

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  • Oliveira dos Santos Soares, Ricardo & Martinez, Alexandre Souto, 2006. "The geometrical patterns of cooperation evolution in the spatial prisoner's dilemma: An intra-group model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 823-829.
    • Handle: RePEc:eee:phsmap:v:369:y:2006:i:2:p:823-829
    DOI: 10.1016/j.physa.2006.02.003
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    References listed on IDEAS

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    1. Galam, Serge, 2004. "Sociophysics: a personal testimony," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(1), pages 49-55.
    2. Stauffer, Dietrich, 2004. "Introduction to statistical physics outside physics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(1), pages 1-5.
    3. Jean-Philippe Bouchaud, 2002. "An introduction to statistical finance," Science & Finance (CFM) working paper archive 313238, Science & Finance, Capital Fund Management.
    4. Bouchaud, Jean-Philippe, 2002. "An introduction to statistical finance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 313(1), pages 238-251.
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    Cited by:

    1. Almeida, Enock & da Silva, Roberto & Martinez, Alexandre Souto, 2014. "Strategies generalization and payoff fluctuation optimization in the iterated ultimatum game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 412(C), pages 54-65.
    2. Pedro Ribeiro de Andrade & Antonio Miguel Vieira Monteiro & Gilberto Câmara & Sandra Sandri, 2009. "Games on Cellular Spaces: How Mobility Affects Equilibrium," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 12(1), pages 1-5.
    3. Yokoi, Hiroki & Uehara, Takashi & Sakata, Tomoyuki & Naito, Hiromi & Morita, Satoru & Tainaka, Kei-ichi, 2014. "Evolution of altruism in spatial prisoner’s dilemma: Intra- and inter-cellular interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 361-370.

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