{"title":"递增偏好随机博弈中的单调比较静力学","authors":"P. Leoni","doi":"10.2139/ssrn.3167679","DOIUrl":null,"url":null,"abstract":"We consider a class of stochastic discounted games with increasing preferences. We first prove existence of extremal Stationary Markov Perfect Equilibria (SMPE) in pure strategies, and we characterize those equilibria as unique fixed points of well-chosen operators. We use this characterization to establish a class of monotone comparative results on those extremal equilibria, using an arbitrary parameter space.","PeriodicalId":373527,"journal":{"name":"PSN: Game Theory (Topic)","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Monotone Comparative Statics in Stochastic Games With Increasing Preferences\",\"authors\":\"P. Leoni\",\"doi\":\"10.2139/ssrn.3167679\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider a class of stochastic discounted games with increasing preferences. We first prove existence of extremal Stationary Markov Perfect Equilibria (SMPE) in pure strategies, and we characterize those equilibria as unique fixed points of well-chosen operators. We use this characterization to establish a class of monotone comparative results on those extremal equilibria, using an arbitrary parameter space.\",\"PeriodicalId\":373527,\"journal\":{\"name\":\"PSN: Game Theory (Topic)\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-04-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"PSN: Game Theory (Topic)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2139/ssrn.3167679\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"PSN: Game Theory (Topic)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.3167679","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Monotone Comparative Statics in Stochastic Games With Increasing Preferences
We consider a class of stochastic discounted games with increasing preferences. We first prove existence of extremal Stationary Markov Perfect Equilibria (SMPE) in pure strategies, and we characterize those equilibria as unique fixed points of well-chosen operators. We use this characterization to establish a class of monotone comparative results on those extremal equilibria, using an arbitrary parameter space.