Krzysztof Kułakowski, M. Stojkow, Dorota Żuchowska-Skiba
{"title":"海德尔平衡、偏见与尺寸效应","authors":"Krzysztof Kułakowski, M. Stojkow, Dorota Żuchowska-Skiba","doi":"10.1080/0022250X.2019.1664509","DOIUrl":null,"url":null,"abstract":"ABSTRACT In a fully connected network of K individuals, links represent symmetric interpersonal relations with their signs – positive for friendly, negative for hostile ones. The network is balanced in the sense of Heider if it is divided into two, internally friendly but mutually hostile groups. A dynamics of the relations has been proposed which leads to balanced states; there, a separate differential equation is designed for each out of K(K-1)/2 links. Here we demonstrate that besides the balanced states, whole families of stable-unbalanced states exist, and the number of these states is limited only by the size of the network. Examples are given for three and four internally friendly, but mutually hostile groups.","PeriodicalId":50139,"journal":{"name":"Journal of Mathematical Sociology","volume":"44 1","pages":"129 - 137"},"PeriodicalIF":1.3000,"publicationDate":"2020-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/0022250X.2019.1664509","citationCount":"8","resultStr":"{\"title\":\"Heider balance, prejudices and size effect\",\"authors\":\"Krzysztof Kułakowski, M. Stojkow, Dorota Żuchowska-Skiba\",\"doi\":\"10.1080/0022250X.2019.1664509\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"ABSTRACT In a fully connected network of K individuals, links represent symmetric interpersonal relations with their signs – positive for friendly, negative for hostile ones. The network is balanced in the sense of Heider if it is divided into two, internally friendly but mutually hostile groups. A dynamics of the relations has been proposed which leads to balanced states; there, a separate differential equation is designed for each out of K(K-1)/2 links. Here we demonstrate that besides the balanced states, whole families of stable-unbalanced states exist, and the number of these states is limited only by the size of the network. Examples are given for three and four internally friendly, but mutually hostile groups.\",\"PeriodicalId\":50139,\"journal\":{\"name\":\"Journal of Mathematical Sociology\",\"volume\":\"44 1\",\"pages\":\"129 - 137\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2020-07-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/0022250X.2019.1664509\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Sociology\",\"FirstCategoryId\":\"90\",\"ListUrlMain\":\"https://doi.org/10.1080/0022250X.2019.1664509\",\"RegionNum\":4,\"RegionCategory\":\"社会学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Sociology","FirstCategoryId":"90","ListUrlMain":"https://doi.org/10.1080/0022250X.2019.1664509","RegionNum":4,"RegionCategory":"社会学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
ABSTRACT In a fully connected network of K individuals, links represent symmetric interpersonal relations with their signs – positive for friendly, negative for hostile ones. The network is balanced in the sense of Heider if it is divided into two, internally friendly but mutually hostile groups. A dynamics of the relations has been proposed which leads to balanced states; there, a separate differential equation is designed for each out of K(K-1)/2 links. Here we demonstrate that besides the balanced states, whole families of stable-unbalanced states exist, and the number of these states is limited only by the size of the network. Examples are given for three and four internally friendly, but mutually hostile groups.
期刊介绍：
The goal of the Journal of Mathematical Sociology is to publish models and mathematical techniques that would likely be useful to professional sociologists. The Journal also welcomes papers of mutual interest to social scientists and other social and behavioral scientists, as well as papers by non-social scientists that may encourage fruitful connections between sociology and other disciplines. Reviews of new or developing areas of mathematics and mathematical modeling that may have significant applications in sociology will also be considered.
The Journal of Mathematical Sociology is published in association with the International Network for Social Network Analysis, the Japanese Association for Mathematical Sociology, the Mathematical Sociology Section of the American Sociological Association, and the Methodology Section of the American Sociological Association.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
