4.5 Article

Market Equilibrium via a Primal-Dual Algorithm for a Convex Program

Journal

JOURNAL OF THE ACM
Volume 55, Issue 5, Pages -

Publisher

ASSOC COMPUTING MACHINERY
DOI: 10.1145/1411509.1411512

Keywords

Algorithms; Economics; Market equilibria; primal-dual algorithms

Funding

  1. National Science Foundation (NSF) [CCF-0546889, CCF-0728640]

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We give the first polynomial time algorithm for exactly computing an equilibrium for the linear utilities case of the market model defined by Fisher. Our algorithm uses the primal-dual paradigm in the enhanced setting of KKT conditions and convex programs. We pinpoint the added difficulty raised by this setting and the manner in which our algorithm circumvents it.

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