Coupling static opinions with evolutionary games: Shaping cooperation in spatial social dilemmas

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2025-06-30 DOI:10.1016/j.chaos.2025.116763

Lijuan Qin , Yali Zhang , Chunpeng Du , Xiaofang Duan , Yikang Lu

{"title":"Coupling static opinions with evolutionary games: Shaping cooperation in spatial social dilemmas","authors":"Lijuan Qin , Yali Zhang , Chunpeng Du , Xiaofang Duan , Yikang Lu","doi":"10.1016/j.chaos.2025.116763","DOIUrl":null,"url":null,"abstract":"<div><div>A fundamental feature of most game-theoretic models coupling opinions is that individuals’ opinions can change during interactions. However, this study explores the impact of static opinions on the evolution of cooperation in the spatial Prisoner’s Dilemma Game (PDG). By coupling fixed opinions with strategy interactions on a square lattice, we examine how opinion benefits, the conformity parameter, and group dominance affect cooperative behavior. Simulation results show that higher opinion benefits significantly enhance cooperation by facilitating the formation of cooperator clusters. In addition, the conformity parameter <span><math><mi>α</mi></math></span> balances the effects of opinions and strategies. Notably, balanced initial opinion distributions promote stable cooperation, whereas polarized distributions suppress it. These findings highlight the critical role of static opinions in shaping cooperative behavior and offer new insights into the mechanisms of cooperation in structured populations.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116763"},"PeriodicalIF":5.3000,"publicationDate":"2025-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos Solitons & Fractals","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0960077925007763","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}

引用次数: 0

Abstract

A fundamental feature of most game-theoretic models coupling opinions is that individuals’ opinions can change during interactions. However, this study explores the impact of static opinions on the evolution of cooperation in the spatial Prisoner’s Dilemma Game (PDG). By coupling fixed opinions with strategy interactions on a square lattice, we examine how opinion benefits, the conformity parameter, and group dominance affect cooperative behavior. Simulation results show that higher opinion benefits significantly enhance cooperation by facilitating the formation of cooperator clusters. In addition, the conformity parameter

α

balances the effects of opinions and strategies. Notably, balanced initial opinion distributions promote stable cooperation, whereas polarized distributions suppress it. These findings highlight the critical role of static opinions in shaping cooperative behavior and offer new insights into the mechanisms of cooperation in structured populations.

查看原文本刊更多论文

将静态观点与进化博弈相结合：在空间社会困境中塑造合作

大多数耦合意见的博弈论模型的一个基本特征是，个体的意见可以在相互作用中改变。然而，本研究探讨了空间囚徒困境博弈（PDG）中静态意见对合作演化的影响。通过将固定意见与策略交互作用耦合在一个方格上，我们研究了意见利益、从众参数和群体优势对合作行为的影响。仿真结果表明，较高的意见利益通过促进合作者集群的形成，显著增强了合作能力。此外，整合参数α平衡了意见和策略的影响。值得注意的是，平衡的初始意见分布促进了稳定的合作，而极化的初始意见分布则抑制了稳定的合作。这些发现强调了静态意见在塑造合作行为中的关键作用，并为结构化群体中的合作机制提供了新的见解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.