{"title":"Institutional enforceability","authors":"Kerim Keskin","doi":"10.1007/s10058-024-00358-w","DOIUrl":null,"url":null,"abstract":"<p>We introduce a new coalitional refinement of Nash equilibrium. An <i>institution</i> is defined to include: (i) a collection of active coalitions of players that can make joint deviations from any strategy profile; (ii) a partition of that collection, endowed with a priority order that determines which coalition is more important than another coalition; and (iii) a set-valued function that specifies which coalitions are informed about a joint deviation made by another coalition and can respond to that deviation by making a further deviation. The notion of <i>institutional Nash equilibrium</i> only considers joint deviations under the restrictions set by the institution under consideration. First, we reveal how our new equilibrium refinement is related to the existing coalitional refinements of Nash equilibrium. Second, after defining <i>institutional enforceability</i> as an availability of an equilibrium to be realized as a unique institutional Nash equilibrium for some institution, we characterize the conditions for an institutionally enforceable Nash equilibrium in two-player and three-player games.\n</p>","PeriodicalId":44537,"journal":{"name":"Review of Economic Design","volume":"72 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Review of Economic Design","FirstCategoryId":"96","ListUrlMain":"https://doi.org/10.1007/s10058-024-00358-w","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
Abstract
We introduce a new coalitional refinement of Nash equilibrium. An institution is defined to include: (i) a collection of active coalitions of players that can make joint deviations from any strategy profile; (ii) a partition of that collection, endowed with a priority order that determines which coalition is more important than another coalition; and (iii) a set-valued function that specifies which coalitions are informed about a joint deviation made by another coalition and can respond to that deviation by making a further deviation. The notion of institutional Nash equilibrium only considers joint deviations under the restrictions set by the institution under consideration. First, we reveal how our new equilibrium refinement is related to the existing coalitional refinements of Nash equilibrium. Second, after defining institutional enforceability as an availability of an equilibrium to be realized as a unique institutional Nash equilibrium for some institution, we characterize the conditions for an institutionally enforceable Nash equilibrium in two-player and three-player games.
期刊介绍:
Review of Economic Design comprises the creative art and science of inventing, analyzing and testing economic as well as social and political institutions and mechanisms aimed at achieving individual objectives and social goals. In this age of Economic Design, the accumulated traditions and wealth of knowledge in normative and positive economics and the strategic analysis of game theory are applied with novel ideas in the creative tasks of designing and assembling diverse legal-economic instruments. These include constitutions and other assignments of rights, mechanisms for allocation or regulation, tax and incentive schemes, contract forms, voting and other choice aggregation procedures, markets, auctions, organizational forms, such as partnerships, together with supporting membership and other property rights, and information systems. These designs, the methods of analysis used in their scrutiny, as well as the mathematical techniques and empirical knowledge they employ, along with comparative assessments of the performance of known economic systems and implemented designs, all of these form natural components of the subject matter of Economic Design.
Officially cited as: Rev Econ Design