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Settling the Complexity of Arrow-Debreu Equilibria in Markets with Additively Separable Utilities (0904.0644v1)
Published 3 Apr 2009 in cs.CC and cs.GT
Abstract: 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.