@Article{JCM-28-5, author = {}, 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 = {https://global-sci.com/article/84829/on-equilibrium-pricing-as-convex-optimization} }