{"title":"具有可变大小变量的模型的对称性的使用","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":"{\"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}","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}
The Use of Symmetry for Models with Variable-size Variables
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.
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