{"title":"Equilibrium existence in games with ties","authors":"W. Olszewski, Ron Siegel","doi":"10.3982/te5067","DOIUrl":null,"url":null,"abstract":"We provide conditions that simplify applying Reny's (1999) better‐reply security to Bayesian games and use these conditions to prove the existence of equilibria for classes of games in which payoff discontinuities arise only at “ties.” These games include a general version of all‐pay contests, first‐prize auctions with common values, and Hotelling models with incomplete information.","PeriodicalId":46923,"journal":{"name":"Theoretical Economics","volume":"13 1","pages":""},"PeriodicalIF":1.2000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical Economics","FirstCategoryId":"96","ListUrlMain":"https://doi.org/10.3982/te5067","RegionNum":3,"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: 5
Abstract
We provide conditions that simplify applying Reny's (1999) better‐reply security to Bayesian games and use these conditions to prove the existence of equilibria for classes of games in which payoff discontinuities arise only at “ties.” These games include a general version of all‐pay contests, first‐prize auctions with common values, and Hotelling models with incomplete information.
期刊介绍：
Theoretical Economics publishes leading research in economic theory. It is published by the Econometric Society three times a year, in January, May, and September. All content is freely available. It is included in the Social Sciences Citation Index
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