{"title":"制度转换的确定性条件的统一方法","authors":"Jean Barthélemy , Seonghoon Cho , Magali Marx","doi":"10.1016/j.red.2024.101240","DOIUrl":null,"url":null,"abstract":"<div><p>The conditions that ensure the existence of a unique stable equilibrium — determinacy conditions — for rational expectations models with Markov switching depend on the stability concept, contrasting with standard linear rational expectations models. In this paper, we offer a unified framework for the two commonly used stability concepts: boundedness and mean-square stability. We derive determinacy conditions for both concepts based on simple metrics. Qualitatively, we show that mean-square stable solutions are always at least as many as bounded solutions. We then apply and discuss our results in two monetary models.</p></div>","PeriodicalId":47890,"journal":{"name":"Review of Economic Dynamics","volume":"54 ","pages":"Article 101240"},"PeriodicalIF":2.3000,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A unified approach to determinacy conditions with regime switching\",\"authors\":\"Jean Barthélemy , Seonghoon Cho , Magali Marx\",\"doi\":\"10.1016/j.red.2024.101240\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The conditions that ensure the existence of a unique stable equilibrium — determinacy conditions — for rational expectations models with Markov switching depend on the stability concept, contrasting with standard linear rational expectations models. In this paper, we offer a unified framework for the two commonly used stability concepts: boundedness and mean-square stability. We derive determinacy conditions for both concepts based on simple metrics. Qualitatively, we show that mean-square stable solutions are always at least as many as bounded solutions. We then apply and discuss our results in two monetary models.</p></div>\",\"PeriodicalId\":47890,\"journal\":{\"name\":\"Review of Economic Dynamics\",\"volume\":\"54 \",\"pages\":\"Article 101240\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2024-08-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Review of Economic Dynamics\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1094202524000292\",\"RegionNum\":3,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ECONOMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Review of Economic Dynamics","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1094202524000292","RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ECONOMICS","Score":null,"Total":0}
A unified approach to determinacy conditions with regime switching
The conditions that ensure the existence of a unique stable equilibrium — determinacy conditions — for rational expectations models with Markov switching depend on the stability concept, contrasting with standard linear rational expectations models. In this paper, we offer a unified framework for the two commonly used stability concepts: boundedness and mean-square stability. We derive determinacy conditions for both concepts based on simple metrics. Qualitatively, we show that mean-square stable solutions are always at least as many as bounded solutions. We then apply and discuss our results in two monetary models.
期刊介绍:
Review of Economic Dynamics publishes meritorious original contributions to dynamic economics. The scope of the journal is intended to be broad and to reflect the view of the Society for Economic Dynamics that the field of economics is unified by the scientific approach to economics. We will publish contributions in any area of economics provided they meet the highest standards of scientific research.