TY - JOUR
T1 - On Equilibrium Pricing as Convex Optimization
AU - Lihua Chen, Yinyu Ye & Jiawei Zhang
JO - Journal of Computational Mathematics
VL - 5
SP - 569
EP - 578
PY - 2010
DA - 2010/10
SN - 28
DO - http://doi.org/10.4208/jcm.1003-m0001
UR - https://global-sci.org/intro/article_detail/jcm/8538.html
KW - Convex optimization, Competitive economy equilibrium, Non-homogeneous utility.
AB - <p style="text-align: justify;">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.</p>