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arXiv · 1307.8037

A Rational Convex Program for Linear Arrow-Debreu Markets

Nikhil R. Devanur·Jugal Garg·László A. Végh
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Abstract

We give a new, flow-type convex program describing equilibrium solutions to linear Arrow-Debreu markets. Whereas convex formulations were previously known [Nenakov, Primak 83; Jain 07; Cornet '89], our program exhibits several new features. It gives a simple necessary and sufficient condition and a concise proof of the existence and rationality of equilibria, settling an open question raised by Vazirani. As a consequence we also obtain a simple new proof of Mertens's result that the equilibrium prices form a convex polyhedral set.

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Nikhil R. Devanur, Jugal Garg, László A. Végh. 2013-11-12. A Rational Convex Program for Linear Arrow-Debreu Markets. https://arxiv.org/abs/1307.8037

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