{"title":"Revealed statistical consumer theory","authors":"Pawel Dziewulski, Roy Allen, John Rehbeck","doi":"10.1007/s00199-023-01513-0","DOIUrl":null,"url":null,"abstract":"Abstract We provide a microfoundation to use aggregates (e.g. mean purchases) to evaluate consumer choice data. We study statistical consumer theory where an individual maximizes a preference over distributions of bundles when constrained by a statistic of the distribution (e.g. mean expenditure). We show statistical consumer theory is observationally equivalent to an individual whose preferences depend only on the statistic of the distribution. This means that despite working with distributions, the empirical content of the model only depends on a finite-dimensional statistic. This approach generalizes random quasilinear utility with random income and mean-variance preferences.","PeriodicalId":47982,"journal":{"name":"Economic Theory","volume":"3 1","pages":"0"},"PeriodicalIF":1.2000,"publicationDate":"2023-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Economic Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s00199-023-01513-0","RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ECONOMICS","Score":null,"Total":0}
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Abstract
Abstract We provide a microfoundation to use aggregates (e.g. mean purchases) to evaluate consumer choice data. We study statistical consumer theory where an individual maximizes a preference over distributions of bundles when constrained by a statistic of the distribution (e.g. mean expenditure). We show statistical consumer theory is observationally equivalent to an individual whose preferences depend only on the statistic of the distribution. This means that despite working with distributions, the empirical content of the model only depends on a finite-dimensional statistic. This approach generalizes random quasilinear utility with random income and mean-variance preferences.
期刊介绍：
The purpose of Economic Theory is to provide an outlet for research - in all areas of economics based on rigorous theoretical reasoning, and
- on specific topics in mathematics which is motivated by the analysis of economic problems. Economic Theory''s scope encompasses - but is not limited to - the following fields. - classical and modern equilibrium theory
- cooperative and non-cooperative game theory
- macroeconomics
- social choice and welfare
- uncertainty and information, intertemporal economics (including dynamical systems)
- public economics
- international and developmental economics
- financial economics, money and banking
- industrial organization Economic Theory also publishes surveys if they clearly picture the basic ideas at work in some areas, the essential technical apparatus which is used and the central questions which remain open. The development of a productive dialectic between stylized facts and abstract formulations requires that economic relevance be at the forefront. Thus, correct, and innovative, mathematical analysis is not enough; it must be motivated by - and contribute to - the understanding of substantive economic problems.
Officially cited as: Econ Theory
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