{"title":"Evolutionary implementation with partially effective institutions","authors":"Ratul Lahkar","doi":"10.1016/j.mathsocsci.2024.12.004","DOIUrl":null,"url":null,"abstract":"<div><div>We consider large population models of a public goods game and a tragedy of the commons. A planner applies externality pricing in these models. However, institutions in society are only partially effective. Hence, the externality price does not compel agents to internalize externalities fully. The resulting externality-adjusted game with partially effective institutions is a potential game. Evolutionary dynamics converge to its Nash equilibrium. More effective institutions bring this Nash equilibrium closer to the original Pareto efficient state. We trace the effectiveness of institutions to a primeval Tullock contest over natural resources in society. The society’s institutional structure arises from the contest’s Nash equilibrium. The institutional structure is more inclusive if natural resources in the contest are less appropriable. Institutions are then also more effective in implementing externality pricing.</div></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"134 ","pages":"Pages 1-13"},"PeriodicalIF":0.5000,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Social Sciences","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165489624001069","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 consider large population models of a public goods game and a tragedy of the commons. A planner applies externality pricing in these models. However, institutions in society are only partially effective. Hence, the externality price does not compel agents to internalize externalities fully. The resulting externality-adjusted game with partially effective institutions is a potential game. Evolutionary dynamics converge to its Nash equilibrium. More effective institutions bring this Nash equilibrium closer to the original Pareto efficient state. We trace the effectiveness of institutions to a primeval Tullock contest over natural resources in society. The society’s institutional structure arises from the contest’s Nash equilibrium. The institutional structure is more inclusive if natural resources in the contest are less appropriable. Institutions are then also more effective in implementing externality pricing.
期刊介绍:
The international, interdisciplinary journal Mathematical Social Sciences publishes original research articles, survey papers, short notes and book reviews. The journal emphasizes the unity of mathematical modelling in economics, psychology, political sciences, sociology and other social sciences.
Topics of particular interest include the fundamental aspects of choice, information, and preferences (decision science) and of interaction (game theory and economic theory), the measurement of utility, welfare and inequality, the formal theories of justice and implementation, voting rules, cooperative games, fair division, cost allocation, bargaining, matching, social networks, and evolutionary and other dynamics models.
Papers published by the journal are mathematically rigorous but no bounds, from above or from below, limits their technical level. All mathematical techniques may be used. The articles should be self-contained and readable by social scientists trained in mathematics.