{"title":"Existence of spatial economic equilibrium: a proof utilizing the Borsuk-Ulam theorem","authors":"P. Stiefenhofer, A. Gregoriou","doi":"10.12988/ams.2023.917325","DOIUrl":null,"url":null,"abstract":"In this paper, we study spatial economic equilibrium of a single good economy distributed over the earth’s equator using a representative agent model with linear demand and supply functions. We show using Borsuk Ulam’s theorem that there exist antipodal economic activities with associated equilibrium prices","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"100 1","pages":""},"PeriodicalIF":3.6000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Models & Methods in Applied Sciences","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12988/ams.2023.917325","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
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Abstract
In this paper, we study spatial economic equilibrium of a single good economy distributed over the earth’s equator using a representative agent model with linear demand and supply functions. We show using Borsuk Ulam’s theorem that there exist antipodal economic activities with associated equilibrium prices
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