{"title":"Decision Theory and Stochastic Growth","authors":"A. Robson, L. Samuelson, Jakub Steiner","doi":"10.1257/aeri.20220456","DOIUrl":null,"url":null,"abstract":"This paper examines connections between stochastic growth and decision problems. We use tools from the theory of large deviations to show that wishful thinking decision problems are equivalent to utility maximization problems, both of which are equivalent to growth maximization under idiosyncratic risk. Rational inattention problems are equivalent to growth-optimal portfolio problems, both of which are equivalent to growth maximization under aggregate risk. Stochastic growth generates extreme inequality, with nearly all wealth eventually held by those who happen to have faced empirical distributions that match the solution to the wishful thinking or rational inattention problem. (JEL D31, D81, D82, D83, G51, O41)","PeriodicalId":29954,"journal":{"name":"American Economic Review-Insights","volume":" ","pages":""},"PeriodicalIF":8.1000,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"American Economic Review-Insights","FirstCategoryId":"96","ListUrlMain":"https://doi.org/10.1257/aeri.20220456","RegionNum":1,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 1
Abstract
This paper examines connections between stochastic growth and decision problems. We use tools from the theory of large deviations to show that wishful thinking decision problems are equivalent to utility maximization problems, both of which are equivalent to growth maximization under idiosyncratic risk. Rational inattention problems are equivalent to growth-optimal portfolio problems, both of which are equivalent to growth maximization under aggregate risk. Stochastic growth generates extreme inequality, with nearly all wealth eventually held by those who happen to have faced empirical distributions that match the solution to the wishful thinking or rational inattention problem. (JEL D31, D81, D82, D83, G51, O41)
期刊介绍:
The journal American Economic Review: Insights (AER: Insights) is a publication that caters to a wide audience interested in economics. It shares the same standards of quality and significance as the American Economic Review (AER) but focuses specifically on papers that offer important insights communicated concisely. AER: Insights releases four issues annually, covering a diverse range of topics in economics.