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Dynamics of asymmetric division of labor game with environmental feedback

Author

Listed:
  • Qin, Shipeng
  • Zhang, Gang
  • Tian, Haiyan
  • Hu, Wenjun
  • Zhang, Xiaoming

Abstract

This paper investigates asymmetric division of labor game with environmental feedback, in which players have innate returns provided by rich patch and nothing by poor patch. An imitative dynamical model is proposed and some sufficient conditions for stability of equilibria are derived. The conditions of stability depend exclusively on costs of strategies, benefit of cooperation and weighted benefit of player in rich patch. Theoretical results are supported by numerical experiments. Furthermore, the frequency of each strategy in different patches is obtained by numerical simulation.

Suggested Citation

  • Qin, Shipeng & Zhang, Gang & Tian, Haiyan & Hu, Wenjun & Zhang, Xiaoming, 2020. "Dynamics of asymmetric division of labor game with environmental feedback," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 543(C).
    • Handle: RePEc:eee:phsmap:v:543:y:2020:i:c:s0378437119319788
    DOI: 10.1016/j.physa.2019.123550
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    References listed on IDEAS

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    Cited by:

    1. Yuan, Hairui & Meng, Xinzhu, 2022. "Replicator dynamics of division of labor games with delayed payoffs in infinite populations," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    2. Zhao, Zhengwu & Zhang, Chunyan, 2023. "The mechanisms of labor division from the perspective of task urgency and game theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).

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