Devanur, Nikhil R., Garg, Jugal and Végh, László A. 
ORCID: 0000-0003-1152-200X
(2016)
A rational convex program for linear Arrow-Debreu markets.
ACM Transactions on Economics and Computation, 5 (1).
p. 6.
ISSN 2167-8375
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Abstract
We present a new flow-type convex program describing equilibrium solutions to linear Arrow-Debreu markets. Whereas convex formulations were previously known ([Nenakov and Primak 1983; Jain 2007; Cornet 1989]), our program exhibits several new features. It provides a simple necessary and sufficient condition and a concise proof of the existence and rationality of equilibria, settling an open question raised by Vazirani [2012]. As a consequence, we also obtain a simple new proof of the result in Mertens [2003] that the equilibrium prices form a convex polyhedral set.
| Item Type: | Article |
|---|---|
| Official URL: | http://teac.acm.org/ |
| Additional Information: | © 2016 ACM |
| Divisions: | Mathematics |
| Subjects: | H Social Sciences > HB Economic Theory Q Science > QA Mathematics |
| Date Deposited: | 09 Feb 2017 12:24 |
| Last Modified: | 24 Oct 2024 17:48 |
| URI: | http://eprints.lse.ac.uk/id/eprint/69224 |
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