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Evolution of tag-based cooperation on Erdős–Rényi random graphs

Author

Listed:
  • F. W. S. Lima

    (Departamento de Física, Universidade Federal do Piauí, 64049-550, Teresina-PI, Brazil)

  • Tarik Hadzibeganovic

    (Department of Psychology, University of Graz, Graz, A-8010, Austria)

  • Dietrich Stauffer

    (Institute for Theoretical Physics, Cologne University, Köln, D-50923, Germany)

Abstract

Here, we study an agent-based model of the evolution of tag-mediated cooperation on Erdős–Rényi random graphs. In our model, agents with heritable phenotypic traits play pairwise Prisoner's Dilemma-like games and follow one of the four possible strategies: Ethnocentric, altruistic, egoistic and cosmopolitan. Ethnocentric and cosmopolitan strategies are conditional, i.e. their selection depends upon the shared phenotypic similarity among interacting agents. The remaining two strategies are always unconditional, meaning that egoists always defect while altruists always cooperate. Our simulations revealed that ethnocentrism can win in both early and later evolutionary stages on directed random graphs when reproduction of artificial agents was asexual; however, under the sexual mode of reproduction on a directed random graph, we found that altruists dominate initially for a rather short period of time, whereas ethnocentrics and egoists suppress other strategists and compete for dominance in the intermediate and later evolutionary stages. Among our results, we also find surprisingly regular oscillations which are not damped in the course of time even after half a million Monte Carlo steps. Unlike most previous studies, our findings highlight conditions under which ethnocentrism is less stable or suppressed by other competing strategies.

Suggested Citation

  • F. W. S. Lima & Tarik Hadzibeganovic & Dietrich Stauffer, 2014. "Evolution of tag-based cooperation on Erdős–Rényi random graphs," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(06), pages 1-10.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:06:n:s0129183114500065
    DOI: 10.1142/S0129183114500065
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    1. anonymous, 2000. "Revolutions in productivity," Annual Report, Federal Reserve Bank of St. Louis, pages 2-13.
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    Cited by:

    1. Crokidakis, Nuno & Galam, Serge, 2022. "After 2018 Bolsonaro victory, is a 2022 remake feasible?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).
    2. Crokidakis, Nuno & Sigaud, Lucas, 2021. "Modeling the evolution of drinking behavior: A Statistical Physics perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    3. Zhang, Hong, 2023. "Evolution of cooperation with tag-based expulsion in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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