Year: 2010
Journal of Computational Mathematics, Vol. 28 (2010), Iss. 5 : pp. 569–578
Abstract
We study competitive economy equilibrium computation. We show that, for the first time, the equilibrium sets of the following two markets: 1. A mixed Fisher and Arrow-Debreu market with homogeneous and log-concave utility functions; 2. The Fisher and Arrow-Debreu markets with several classes of concave non-homogeneous utility functions; are convex or log-convex. Furthermore, an equilibrium can be computed as convex optimization by an interior-point algorithm in polynomial time.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1003-m0001
Journal of Computational Mathematics, Vol. 28 (2010), Iss. 5 : pp. 569–578
Published online: 2010-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Convex optimization Competitive economy equilibrium Non-homogeneous utility.