Settling the Complexity of Arrow-Debreu Equilibria in Markets with Additively Separable Utilities

Xi Chen; Decheng Dai; Ye Du; Shang-Hua Teng

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arXiv · 0904.0644

Settling the Complexity of Arrow-Debreu Equilibria in Markets with Additively Separable Utilities

Xi Chen·Decheng Dai·Ye Du·Shang-Hua Teng

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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.

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BibTeX RIS

Xi Chen, Decheng Dai, Ye Du, Shang-Hua Teng. 2009-04-03. Settling the Complexity of Arrow-Debreu Equilibria in Markets with Additively Separable Utilities. https://arxiv.org/abs/0904.0644

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