Lijuan Qin , Yali Zhang , Chunpeng Du , Xiaofang Duan , Yikang Lu
{"title":"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","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":"{\"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}","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}
Coupling static opinions with evolutionary games: Shaping cooperation in spatial social dilemmas
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 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.
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.