{"title":"Election methods and political polarization","authors":"Salvatore Barbaro","doi":"10.1016/j.mathsocsci.2025.102417","DOIUrl":null,"url":null,"abstract":"<div><div>Political polarization poses a significant challenge to democratic societies. While much of the scholarly focus has been on the socio-demographic factors that drive polarization, this paper focuses on voting rules and their effects on the incentives for candidates to be moderate or polarizing. It addresses the question: Which voting methods most impede the success of a polarizing candidate? Through a comparative analysis of plurality voting, the Condorcet method, and Borda’s rule, we find the Borda rule to be the most effective at discouraging extreme platforms. In a generalization, we show that a scoring rule is more effective at hindering the success of polarizing candidates the more weight that it places on voters’ second preferences in the tallying process.</div></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"135 ","pages":"Article 102417"},"PeriodicalIF":0.5000,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Social Sciences","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165489625000320","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
Political polarization poses a significant challenge to democratic societies. While much of the scholarly focus has been on the socio-demographic factors that drive polarization, this paper focuses on voting rules and their effects on the incentives for candidates to be moderate or polarizing. It addresses the question: Which voting methods most impede the success of a polarizing candidate? Through a comparative analysis of plurality voting, the Condorcet method, and Borda’s rule, we find the Borda rule to be the most effective at discouraging extreme platforms. In a generalization, we show that a scoring rule is more effective at hindering the success of polarizing candidates the more weight that it places on voters’ second preferences in the tallying process.
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.