{"title":"On the complexity of equilibria in markets with additively separable utilities","authors":"X. Chen, Decheng Dai, Ye Du, S. Teng","doi":"10.1145/1807406.1807467","DOIUrl":null,"url":null,"abstract":"We show that the problem of computing an approximate Arrow-Debreu market equilibrium is PPAD-hard, even when all traders use additively separable, piecewise-linear, and concave utility functions. We will also discuss the extension of this result to Fisher's model.","PeriodicalId":142982,"journal":{"name":"Behavioral and Quantitative Game Theory","volume":"50 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Behavioral and Quantitative Game Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/1807406.1807467","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We show that the problem of computing an approximate Arrow-Debreu market equilibrium is PPAD-hard, even when all traders use additively separable, piecewise-linear, and concave utility functions. We will also discuss the extension of this result to Fisher's model.
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