{"title":"Core–periphery and nested networks emerging from a simple model of network formation","authors":"Norma Olaizola , Federico Valenciano","doi":"10.1016/j.mathsocsci.2024.03.003","DOIUrl":null,"url":null,"abstract":"<div><p>This paper studies a simple model inspired by the seminal connections model of Jackson and Wolinsky (1996). Node-players can invest in links to connect with other nodes forming networks, but only direct links transmit value. Nodes may have different values and different decreasing returns abilities/technologies to form/strengthen links. The strength of a link depends on the amounts invested in it by the two nodes that it connects and is determined by a separable function of the investments of the players which form the link. Nash-stable and efficient networks are characterized, and a variety of their architectures identified for different configurations of values and technologies.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"129 ","pages":"Pages 42-51"},"PeriodicalIF":0.5000,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165489624000349/pdfft?md5=d2034fa60a1dfa6f4c81a98ce7679f76&pid=1-s2.0-S0165489624000349-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Social Sciences","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165489624000349","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper studies a simple model inspired by the seminal connections model of Jackson and Wolinsky (1996). Node-players can invest in links to connect with other nodes forming networks, but only direct links transmit value. Nodes may have different values and different decreasing returns abilities/technologies to form/strengthen links. The strength of a link depends on the amounts invested in it by the two nodes that it connects and is determined by a separable function of the investments of the players which form the link. Nash-stable and efficient networks are characterized, and a variety of their architectures identified for different configurations of values and technologies.
本文研究了一个简单的模型，其灵感来自 Jackson 和 Wolinsky（1996 年）的开创性连接模型。节点参与者可以投资链接，与其他节点连接形成网络，但只有直接链接才能传递价值。节点可能具有不同的价值和不同的收益递减能力/技术来形成/加强链接。链接的强度取决于链接所连接的两个节点的投资额，并由形成链接的参与者的投资额的可分离函数决定。本文描述了纳什稳定高效网络的特征，并针对不同的价值和技术配置确定了各种网络架构。
期刊介绍：
The international, interdisciplinary journal Mathematical Social Sciences publishes original research articles, survey papers, short notes and book reviews. The journal emphasizes the unity of mathematical modelling in economics, psychology, political sciences, sociology and other social sciences.
Topics of particular interest include the fundamental aspects of choice, information, and preferences (decision science) and of interaction (game theory and economic theory), the measurement of utility, welfare and inequality, the formal theories of justice and implementation, voting rules, cooperative games, fair division, cost allocation, bargaining, matching, social networks, and evolutionary and other dynamics models.
Papers published by the journal are mathematically rigorous but no bounds, from above or from below, limits their technical level. All mathematical techniques may be used. The articles should be self-contained and readable by social scientists trained in mathematics.
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