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Chin. Phys. B, 2026, Vol. 35(3): 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 Yanga(杨柏林)2 and Guanghui Yang(杨光惠)1,2,†
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
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.
Keywords:  multi-player snowdrift evolutionary game      cost sharing      Aspiration-Fermi hybrid rule      average abundance function  
Received:  29 May 2025      Revised:  16 July 2025      Accepted manuscript online:  23 July 2025
PACS:  02.50.Le (Decision theory and game theory)  
  02.50.Ga (Markov processes)  
  89.75.-k (Complex systems)  
Corresponding Authors:  Guanghui Yang     E-mail:  ghuiyang@126.com

Cite this article: 

Bolin Yanga(杨柏林) and Guanghui Yang(杨光惠) Evolutionary analysis of multi-player snowdrift game with cost sharing under Aspiration-Fermi hybrid rule 2026 Chin. Phys. B 35 030203

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