Cooperation dynamics of social dilemmas on an opinion-dependent weighted network

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2025-04-22 DOI:10.1016/j.amc.2025.129476

Ji Quan , Leyao Tao , Xianjia Wang

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引用次数: 0

Abstract

In real society, different individuals have different opinions on a certain issue, and individuals with similar views tend to become close gradually, while individuals with different opinions tend to become distant. Based on this fact, we propose a weighted spatial prisoner's dilemma game model with opinions to explore the impact of link weight change influenced by differences in opinions on the evolution of cooperation. The strength of social relationships is indicated by the link weight which is dynamically updated by the differences in views between individuals. We investigate the effects of changes in the link weight control parameter, tolerance control parameter, and link weight adjustment amplitude on the evolution of cooperation. Through Monte Carlo simulations, we find that a co-evolutionary mechanism of game strategies and link weights influenced by opinions can facilitate the evolution of cooperation. More specifically, cooperation can be favored by an increase in the link weight control parameter, a decrease in the tolerance control parameter, and an increase in link weight adjustment amplitude. Changes in these parameters increase the heterogeneity of the network and therefore facilitate cooperation. These results help us understand how selfish individuals in a social dilemma can adjust their social relationships based on opinion dynamics to facilitate cooperation.

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意见依赖加权网络中社会困境的合作动态

在现实社会中，不同的个体对某一问题有不同的看法，观点相似的个体往往会逐渐亲近，而观点不同的个体则会逐渐疏远。基于此，本文提出了一个带意见的加权空间囚徒困境博弈模型，探讨了意见差异对环节权重变化对合作演化的影响。社会关系的强度由链接权重表示，而链接权重是由个体之间的观点差异动态更新的。研究了链权控制参数、公差控制参数和链权调整幅度的变化对合作演化的影响。通过蒙特卡罗模拟，我们发现受意见影响的博弈策略和环节权重的共同进化机制促进了合作的进化。更具体地说，增加链权控制参数、减小公差控制参数和增加链权调整幅度有利于合作。这些参数的变化增加了网络的异质性，从而促进了合作。这些结果有助于我们理解自私的个体如何在社会困境中根据意见动态调整他们的社会关系以促进合作。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.