@Article{JCM-28-569, author = {Lihua Chen, Yinyu Ye and Jiawei Zhang}, title = {On Equilibrium Pricing as Convex Optimization}, journal = {Journal of Computational Mathematics}, year = {2010}, volume = {28}, number = {5}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1003-m0001}, url = {http://global-sci.org/intro/article_detail/jcm/8538.html} }