{"title":"The Use of Symmetry for Models with Variable-size Variables","authors":"Takeshi Fukasawa","doi":"arxiv-2311.08650","DOIUrl":null,"url":null,"abstract":"This paper shows the universal representation of symmetric functions with\nmultidimensional variable-size variables, which justifies the use of\napproximation methods aggregating the information of each variable. I then\ndiscuss how the results give insights into economic applications, including\ntwo-step policy function estimation, moment-based Markov equilibrium, and\naggregative games.","PeriodicalId":501487,"journal":{"name":"arXiv - QuantFin - Economics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - QuantFin - Economics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2311.08650","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This paper shows the universal representation of symmetric functions with
multidimensional variable-size variables, which justifies the use of
approximation methods aggregating the information of each variable. I then
discuss how the results give insights into economic applications, including
two-step policy function estimation, moment-based Markov equilibrium, and
aggregative games.