On Equilibrium Pricing as Convex Optimization
نویسندگان
چکیده
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 ArrowDebreu 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. Mathematics subject classification: 90C25, 91B50
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A Note on Equilibrium Pricing as Convex Optimization
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