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Social dilemmas in off-lattice populations

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  • Oliveira, B.F. de
  • Szolnoki, A.

Abstract

Exploring the possible consequences of spatial reciprocity on the evolution of cooperation is an intensively studied research avenue. Related works assumed a certain interaction graph of competing players and studied how particular topologies may influence the dynamical behavior. In this paper we apply a numerically more demanding off-lattice population approach which could be potentially relevant especially in microbiological environments. As expected, results are conceptually similar to those which were obtained for lattice-type interaction graphs, but some spectacular differences can also be revealed. On one hand, in off-lattice populations spatial reciprocity may work more efficiently than for a lattice-based system. On the other hand, competing strategies may separate from each other in the continuous space concept, which gives a chance for cooperators to survive even at relatively high temptation values. Furthermore, the lack of strict neighborhood results in soft borders between competing patches which jeopardizes the long term stability of homogeneous domains. We survey the major social dilemma games based on pair interactions of players and reveal all analogies and differences compared to on-lattice simulations.

Suggested Citation

  • Oliveira, B.F. de & Szolnoki, A., 2021. "Social dilemmas in off-lattice populations," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    • Handle: RePEc:eee:chsofr:v:144:y:2021:i:c:s0960077921000965
    DOI: 10.1016/j.chaos.2021.110743
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    References listed on IDEAS

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    1. Shu, Feng & Liu, Xingwen & Fang, Kai & Chen, Hao, 2018. "Memory-based snowdrift game on a square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 15-26.
    2. Jiao, Yuhang & Chen, Tong & Chen, Qiao, 2020. "The impact of expressing willingness to cooperate on cooperation in public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    3. Christoph Hauert & Michael Doebeli, 2004. "Spatial structure often inhibits the evolution of cooperation in the snowdrift game," Nature, Nature, vol. 428(6983), pages 643-646, April.
    4. Quan, Ji & Tang, Caixia & Wang, Xianjia, 2021. "Reputation-based discount effect in imitation on the evolution of cooperation in spatial public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    5. Ran Yang & Tong Chen & Qiao Chen, 2020. "Promoting cooperation by reputation-based payoff transfer mechanism in public goods game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(5), pages 1-8, May.
    6. Liu, Run-Ran & Jia, Chun-Xiao & Rong, Zhihai, 2019. "Effects of enhancement level on evolutionary public goods game with payoff aspirations," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 242-248.
    7. Wang, Lei & Xia, Chengyi & Wang, Li & Zhang, Ying, 2013. "An evolving Stag-Hunt game with elimination and reproduction on regular lattices," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 69-76.
    8. Li, Kun & Mao, Yizhou & Wei, Zhenlin & Cong, Rui, 2021. "Pool-rewarding in N-person snowdrift game," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    9. Yang, Guoli & Zhu, Cheng & Zhang, Weiming, 2019. "Adaptive and probabilistic strategy evolution in dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 518(C), pages 99-110.
    10. Kerry E Boyle & Hilary Monaco & Dave van Ditmarsch & Maxime Deforet & Joao B Xavier, 2015. "Integration of Metabolic and Quorum Sensing Signals Governing the Decision to Cooperate in a Bacterial Social Trait," PLOS Computational Biology, Public Library of Science, vol. 11(6), pages 1-26, June.
    11. Zhang, Liming & Huang, Changwei & Li, Haihong & Dai, Qionglin & Yang, Junzhong, 2021. "Cooperation guided by imitation, aspiration and conformity-driven dynamics in evolutionary games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    12. Takashi Nagatani & Genki Ichinose, 2020. "Diffusively-Coupled Rock-Paper-Scissors Game with Mutation in Scale-Free Hierarchical Networks," Complexity, Hindawi, vol. 2020, pages 1-8, October.
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