{"title":"Computing a common prior","authors":"Marianna E.-Nagy , Miklós Pintér","doi":"10.1016/j.orl.2024.107134","DOIUrl":null,"url":null,"abstract":"<div><p>Morris (1994) and Feinberg (2000) showed that a finite type space admits a common prior if and only if there is no agreeable bet in it.</p><p>We also consider finite type spaces and observe that the problem of computing a common prior is equivalent to considering the intersection of affine spaces spanned by the types of a player. Therefore, we can apply the Fredholm alternative and conclude that the computational complexity of computing a common prior is strongly polynomial.</p></div>","PeriodicalId":54682,"journal":{"name":"Operations Research Letters","volume":"55 ","pages":"Article 107134"},"PeriodicalIF":0.8000,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Operations Research Letters","FirstCategoryId":"91","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167637724000701","RegionNum":4,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"OPERATIONS RESEARCH & MANAGEMENT SCIENCE","Score":null,"Total":0}
引用次数: 0
Abstract
Morris (1994) and Feinberg (2000) showed that a finite type space admits a common prior if and only if there is no agreeable bet in it.
We also consider finite type spaces and observe that the problem of computing a common prior is equivalent to considering the intersection of affine spaces spanned by the types of a player. Therefore, we can apply the Fredholm alternative and conclude that the computational complexity of computing a common prior is strongly polynomial.
期刊介绍：
Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.
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