{"title":"Hotelling’s Model with Firms Located Close to Each Other","authors":"Oz Shy","doi":"10.1007/s11151-024-09975-9","DOIUrl":null,"url":null,"abstract":"<p>Hotelling’s model—which is commonly referred to as the “linear city” model—is perhaps the most widely-used model of competition in differentiated products. However, pure-strategy Nash equilibria in prices do not exist unless the firms are located either sufficiently far apart from each other or at the same place. In fact, pure-strategy Nash equilibrium prices exist in only about 15 percent of all possible locations of firms in the linear city. This paper applies the undercut-proof equilibrium concept to solve for equilibrium prices for all possible locations of firms in the linear city.</p>","PeriodicalId":47454,"journal":{"name":"Review of Industrial Organization","volume":"29 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Review of Industrial Organization","FirstCategoryId":"96","ListUrlMain":"https://doi.org/10.1007/s11151-024-09975-9","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
Abstract
Hotelling’s model—which is commonly referred to as the “linear city” model—is perhaps the most widely-used model of competition in differentiated products. However, pure-strategy Nash equilibria in prices do not exist unless the firms are located either sufficiently far apart from each other or at the same place. In fact, pure-strategy Nash equilibrium prices exist in only about 15 percent of all possible locations of firms in the linear city. This paper applies the undercut-proof equilibrium concept to solve for equilibrium prices for all possible locations of firms in the linear city.
期刊介绍：
New Online Manuscript Submission System The Review of Industrial Organization publishes research papers on all aspects of industrial organization, broadly defined. A main focus is on competition and monopoly, in their many forms and processes and their effects on efficiency, innovation, and social conditions. Topics may range from the internal organization of enterprises to wide international comparisons.
The Review is also increasing its interest in papers on public policies such as antitrust, regulation, deregulation, public enterprise, and privatization. Papers may deal with any economic sectors and any developed economies.
The Review continues its primary interest in ideas that can be verified by econometric evidence, case studies, or other real conditions. But the Review also seeks papers that advance significant theories of industrial organization and policy. Papers using abstract techniques and econometric tests should present the methods and analysis in plain enough English so that non-specialist readers can evaluate the content.
The Review welcomes submissions from any source, and the Editors will make every effort to have papers reviewed quickly and to give prompt decisions. The Editors will also seek to arrange symposia on specific topics, and they are open to proposals for grouped papers. They also welcome shorter notes and commentaries on topics of interest to the profession.
Officially cited as: Rev Ind Organ
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