{"title":"Strictly competitive games: Finite, countable and uncountable strategies","authors":"Roberto Raimondo","doi":"10.1016/j.orl.2025.107252","DOIUrl":null,"url":null,"abstract":"<div><div>Strictly competitive games are characterized by the fact that every pair of strategies is Pareto optimal in two-player games. We provide a characterization of strictly competitive games when the sets of strategies are not finite. The finite strategy case was settled by Adler, Daskalakis and Papadimitriou who fully proved a conjecture of Aumann.</div></div>","PeriodicalId":54682,"journal":{"name":"Operations Research Letters","volume":"60 ","pages":"Article 107252"},"PeriodicalIF":0.8000,"publicationDate":"2025-01-30","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/S0167637725000136","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
Strictly competitive games are characterized by the fact that every pair of strategies is Pareto optimal in two-player games. We provide a characterization of strictly competitive games when the sets of strategies are not finite. The finite strategy case was settled by Adler, Daskalakis and Papadimitriou who fully proved a conjecture of Aumann.
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
