{"title":"合作可以在当地环境的共同演变中产生","authors":"","doi":"10.1016/j.amc.2024.128945","DOIUrl":null,"url":null,"abstract":"<div><p>Explaining the emergence of cooperation is a challenging issue. Recently, research on ecological evolutionary games has combined human behavior with environmental feedback, demonstrating that the co-evolution of cooperation and the environment exhibits rich dynamics, thereby attracting widespread attention. In this work, we aim to extend the theory of environmental feedback by exploring environmental evolution that incorporates spatial factors. Our model considers the context of a local environment, where an individual's environment is influenced only by herself and her neighbors, and the environment affects only the outcome of the game interactions in which she participates. By means of Monte Carlo simulations, our results suggest that cooperation can emerge in the co-evolution of local environments and can be facilitated more effectively with a higher degree of maximum possible environmental degradation. In particular, we discovered that environmental degradation of peripheral individuals in cooperative clusters reduces the profits of defectors, acting as a shield to protect clusters from defectors. However, in a more easily recoverable environment, this protective effect weakens, allowing free-riders to take advantage. Our research elucidates the co-evolutionary process within local environments and emphasizes the crucial role of environmental feedback in the evolution of cooperation.</p></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":null,"pages":null},"PeriodicalIF":3.5000,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Cooperation can emerge in the co-evolution of the local environments\",\"authors\":\"\",\"doi\":\"10.1016/j.amc.2024.128945\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Explaining the emergence of cooperation is a challenging issue. Recently, research on ecological evolutionary games has combined human behavior with environmental feedback, demonstrating that the co-evolution of cooperation and the environment exhibits rich dynamics, thereby attracting widespread attention. In this work, we aim to extend the theory of environmental feedback by exploring environmental evolution that incorporates spatial factors. Our model considers the context of a local environment, where an individual's environment is influenced only by herself and her neighbors, and the environment affects only the outcome of the game interactions in which she participates. By means of Monte Carlo simulations, our results suggest that cooperation can emerge in the co-evolution of local environments and can be facilitated more effectively with a higher degree of maximum possible environmental degradation. In particular, we discovered that environmental degradation of peripheral individuals in cooperative clusters reduces the profits of defectors, acting as a shield to protect clusters from defectors. However, in a more easily recoverable environment, this protective effect weakens, allowing free-riders to take advantage. Our research elucidates the co-evolutionary process within local environments and emphasizes the crucial role of environmental feedback in the evolution of cooperation.</p></div>\",\"PeriodicalId\":55496,\"journal\":{\"name\":\"Applied Mathematics and Computation\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.5000,\"publicationDate\":\"2024-07-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Mathematics and Computation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0096300324004065\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0096300324004065","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Cooperation can emerge in the co-evolution of the local environments
Explaining the emergence of cooperation is a challenging issue. Recently, research on ecological evolutionary games has combined human behavior with environmental feedback, demonstrating that the co-evolution of cooperation and the environment exhibits rich dynamics, thereby attracting widespread attention. In this work, we aim to extend the theory of environmental feedback by exploring environmental evolution that incorporates spatial factors. Our model considers the context of a local environment, where an individual's environment is influenced only by herself and her neighbors, and the environment affects only the outcome of the game interactions in which she participates. By means of Monte Carlo simulations, our results suggest that cooperation can emerge in the co-evolution of local environments and can be facilitated more effectively with a higher degree of maximum possible environmental degradation. In particular, we discovered that environmental degradation of peripheral individuals in cooperative clusters reduces the profits of defectors, acting as a shield to protect clusters from defectors. However, in a more easily recoverable environment, this protective effect weakens, allowing free-riders to take advantage. Our research elucidates the co-evolutionary process within local environments and emphasizes the crucial role of environmental feedback in the evolution of cooperation.
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.