Aspiration-Fermi 混合机制下带异质收益和时间成本的双阈值 $N$ 人雪堆博弈的演化动力学

Abstract

Abstract:

This study establishes a dual-threshold $N$-player snowdrift game model with heterogeneous benefits and nonlinear time costs from the perspective of benefit heterogeneity and exponential discounting of time preferences. We develop an Aspiration-Fermi hybrid mechanism by linearly coupling the Aspiration update rule with the PW-Fermi rule, and subsequently construct the corresponding evolutionary dynamics based on the mean dynamic principle. Numerical simulations and comparative analyses reveal that heterogeneous benefits, exponential nonlinear time costs, and the Aspiration-Fermi hybrid mechanism significantly enhance cooperation. This work provides new perspectives for studying the evolution of cooperation in complex societies.

Key words: Aspiration-Fermi hybrid mechanism, heterogeneous benefits benefits, exponential time costs, dual-threshold snowdrift game

CLC Number:

O225

Bolin Yang, Guanghui Yang. Evolutionary Dynamics of a Dual-Threshold $N$-Player Snowdrift Game with Heterogeneous Benefits and Time Cost Under an Aspiration-Fermi Hybrid Mechanism[J].Acta mathematica scientia,Series A, 2026, 46(5): 2030-2039.

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Evolutionary Dynamics of a Dual-Threshold $N$-Player Snowdrift Game with Heterogeneous Benefits and Time Cost Under an Aspiration-Fermi Hybrid Mechanism

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