{"title":"Finite Population Dynamics and Mixed Equilibria","authors":"Carlos Alós-Ferrer","doi":"10.1142/S0219198903001057","DOIUrl":null,"url":null,"abstract":"This paper examines the stability of mixed-strategy Nash equilibria of sym- metric games, viewed as population profiles in dynamical systems with learning within a single, finite population. Alternative models of imitation and myopic best reply are considered and combined with different assumptions about the speed of adjustment. It is found that specific refinements of mixed Nash equi- libria serve to identify focal rest points of these dynamics in general games. The relationship between both concepts is studied. In the 2 x 2 case, both im- itation and myopic best reply yield strong stability results for the same type of mixed Nash equilibria.","PeriodicalId":45451,"journal":{"name":"International Game Theory Review","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2003-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/S0219198903001057","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Game Theory Review","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/S0219198903001057","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 8
Abstract
This paper examines the stability of mixed-strategy Nash equilibria of sym- metric games, viewed as population profiles in dynamical systems with learning within a single, finite population. Alternative models of imitation and myopic best reply are considered and combined with different assumptions about the speed of adjustment. It is found that specific refinements of mixed Nash equi- libria serve to identify focal rest points of these dynamics in general games. The relationship between both concepts is studied. In the 2 x 2 case, both im- itation and myopic best reply yield strong stability results for the same type of mixed Nash equilibria.
期刊介绍：
Rapid developments in technology, communication, industrial organization, economic integration, political reforms and international trade have made it increasingly imperative to recognize the causes and effects of strategic interdependencies and interactions. A strategic approach to decision-making is crucial in areas such as trade negotiations, foreign and domestic investments, capital accumulation, pollution control, market integration, regional cooperation, development and implementation of new technology, arms control, international resource extraction, network sharing, and competitive marketing. Since its inception, game theory has contributed significantly to the foundations of decision-making.
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