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Coevolving allocation of resources and cooperation in spatial evolutionary games

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  • Luo, Chao
  • Jiang, Zhipeng

Abstract

In this article, the co-evolution of resources and cooperation in spatial evolutionary games is studied. Existence of competition in nature and human society derives from the confrontation between the limit of resources and the infinity of demands. As a result, resource allocation is inseparable from various games, where resource acquisition depends on the outcome of games and the number of possessing resources would in turn affect the choice of game strategy. Here, by means of a concise and strategy-independent rule, limited resources are firstly involved into the evolution of prisoner's dilemma game (PDG) and three main results are obtained: (a) the coevolving resources in PDG can effectively promote the level of cooperation, and players with cooperative behavior are easier to possess resources; (b) in equilibrium, resources in the system approximately follow the power law distribution. A fraction of players would hold the most of resources but a considerable number of players lose almost all their property; (c) when the lowest guarantee of resources as a protective mechanism is assigned to each player, the level of cooperation can be further promoted. Moreover, an optimal value of the lowest guarantee can be found to inspire cooperative behaviors. The related microscopic system properties are studied and other social dilemmas as different kinds of representatives are also discussed.

Suggested Citation

  • Luo, Chao & Jiang, Zhipeng, 2017. "Coevolving allocation of resources and cooperation in spatial evolutionary games," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 47-57.
  • Handle: RePEc:eee:apmaco:v:311:y:2017:i:c:p:47-57
    DOI: 10.1016/j.amc.2017.05.009
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    References listed on IDEAS

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    1. Tian, Lin-Lin & Li, Ming-Chu & Wang, Zhen, 2016. "Cooperation enhanced by indirect reciprocity in spatial prisoner’s dilemma games for social P2P systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 1252-1260.
    2. David Castells-Quintana & Raul Ramos & Vicente Royuela, 2015. "Income inequality in European Regions: Recent trends and determinants," Review of Regional Research: Jahrbuch für Regionalwissenschaft, Springer;Gesellschaft für Regionalforschung (GfR), vol. 35(2), pages 123-146, October.
    3. A. Szolnoki & M. Perc, 2009. "Promoting cooperation in social dilemmas via simple coevolutionary rules," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 67(3), pages 337-344, February.
    4. Deng, Xiao-Heng & Liu, Yi & Chen, Zhi-Gang, 2010. "Memory-based evolutionary game on small-world network with tunable heterogeneity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(22), pages 5173-5181.
    5. Luo, Chao & Zhang, Xiaolin & Liu, Hong & Shao, Rui, 2016. "Cooperation in memory-based prisoner’s dilemma game on interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 560-569.
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    Cited by:

    1. Sun, Jiaqin & Fan, Ruguo & Luo, Ming & Zhang, Yingqing & Dong, Lili, 2018. "The evolution of cooperation in spatial prisoner’s dilemma game with dynamic relationship-based preferential learning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 598-611.
    2. Li, Xiaopeng & Han, Weiwei & Yang, Wenjun & Wang, Juan & Xia, Chengyi & Li, Hui-jia & Shi, Yong, 2022. "Impact of resource-based conditional interaction on cooperation in spatial social dilemmas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    3. Luo, Chao & Wang, Xingyuan & Zheng, Yuanjie, 2018. "Co-evolution of cooperation and limited resources on interdependent networks," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 174-185.
    4. Sun, Chengbin & Luo, Chao, 2020. "Co-evolution of limited resources in the memory-based spatial evolutionary game," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    5. Sun, Chengbin & Luo, Chao, 2020. "Co-evolution of influence-based preferential selection and limited resource with multi-games on interdependent networks," Applied Mathematics and Computation, Elsevier, vol. 374(C).
    6. Qiang Wang & Zhongfu Tan & Gejirifu De & Qingkun Tan & Lei Pu, 2019. "An Evolutionary Game Study of Clean Heating Promotion Mechanisms under the Policy Regulation in China," Sustainability, MDPI, vol. 11(14), pages 1-22, July.
    7. Sun, Chengbin & Luo, Chao & Li, Junqiu, 2020. "Aspiration-based co-evolution of cooperation with resource allocation on interdependent networks," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).

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