{"id":157428,"date":"2009-01-01T00:00:00","date_gmt":"2009-01-01T00:00:00","guid":{"rendered":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/msr-research-item\/settling-the-complexity-of-arrow-debreu-equilibria-in-markets-with-additively-separable-utilities\/"},"modified":"2018-10-16T21:56:37","modified_gmt":"2018-10-17T04:56:37","slug":"settling-the-complexity-of-arrow-debreu-equilibria-in-markets-with-additively-separable-utilities","status":"publish","type":"msr-research-item","link":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/publication\/settling-the-complexity-of-arrow-debreu-equilibria-in-markets-with-additively-separable-utilities\/","title":{"rendered":"Settling the Complexity of Arrow-Debreu Equilibria in Markets with Additively Separable Utilities"},"content":{"rendered":"<div class=\"asset-content\">\n<p>We prove that the problem of computing an Arrow-Debreu market equilibrium is PPAD-complete even when all traders use additively separable, piecewise-linear and concave utility functions. In fact, our proof shows that this market-equilibrium problem does not have a fully polynomial-time approximation scheme unless every problem in PPAD is solvable in polynomial time.<\/p>\n<\/div>\n<p><!-- .asset-content --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>We prove that the problem of computing an Arrow-Debreu market equilibrium is PPAD-complete even when all traders use additively separable, piecewise-linear and concave utility functions. In fact, our proof shows that this market-equilibrium problem does not have a fully polynomial-time approximation scheme unless every problem in PPAD is solvable in polynomial 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