中国物理B ›› 2026, Vol. 35 ›› Issue (3): 30203-030203.doi: 10.1088/1674-1056/adf31a

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Evolutionary analysis of multi-player snowdrift game with cost sharing under Aspiration-Fermi hybrid rule

Bolin Yang(杨柏林)1,2 and Guanghui Yang(杨光惠)1,2,†   

  1. 1 School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China;
    2 Guizhou Provincial Key Laboratory for Games Decision-Making and Control Systems, Guiyang 550025, China
  • 收稿日期:2025-05-29 修回日期:2025-07-16 接受日期:2025-07-23 出版日期:2026-02-11 发布日期:2026-03-12
  • 通讯作者: Guanghui Yang E-mail:ghuiyang@126.com

Evolutionary analysis of multi-player snowdrift game with cost sharing under Aspiration-Fermi hybrid rule

Bolin Yang(杨柏林)1,2 and Guanghui Yang(杨光惠)1,2,†   

  1. 1 School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China;
    2 Guizhou Provincial Key Laboratory for Games Decision-Making and Control Systems, Guiyang 550025, China
  • Received:2025-05-29 Revised:2025-07-16 Accepted:2025-07-23 Online:2026-02-11 Published:2026-03-12
  • Contact: Guanghui Yang E-mail:ghuiyang@126.com

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摘要： This paper firstly constructs a multi-player snowdrift game with all players' cost sharing once the snowdrift is removed for a fairness. Secondly, an Aspiration-Fermi hybrid rule is proposed to derive an extended average abundance function via Markov chain evolutionary processes. Besides, extensive numerical simulations well verify theoretical results. Our findings show that both cost sharing and the Aspiration-Fermi hybrid rule significantly promote the cooperation by enhancing the average abundance in multi-person snowdrift game. By comparison with the existing woks, our proposed model and hybrid strategy-update rule provide novel insights into the evolution of cooperation in multi-person games.

关键词: multi-player snowdrift evolutionary game, cost sharing, Aspiration-Fermi hybrid rule, average abundance function

Abstract: This paper firstly constructs a multi-player snowdrift game with all players' cost sharing once the snowdrift is removed for a fairness. Secondly, an Aspiration-Fermi hybrid rule is proposed to derive an extended average abundance function via Markov chain evolutionary processes. Besides, extensive numerical simulations well verify theoretical results. Our findings show that both cost sharing and the Aspiration-Fermi hybrid rule significantly promote the cooperation by enhancing the average abundance in multi-person snowdrift game. By comparison with the existing woks, our proposed model and hybrid strategy-update rule provide novel insights into the evolution of cooperation in multi-person games.

Key words: multi-player snowdrift evolutionary game, cost sharing, Aspiration-Fermi hybrid rule, average abundance function

中图分类号:  (Decision theory and game theory)

  • 02.50.Le
02.50.Ga (Markov processes) 89.75.-k (Complex systems)