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Fisher Equilibrium Price with a Class of Concave Utility Functions

, , , and . ESA, volume 3221 of Lecture Notes in Computer Science, page 169-179. Springer, (2004)
DOI: 10.1007/978-3-540-30140-0_17

Abstract

In this paper we study efficient algorithms for computing equilibrium price in the Fisher model for a class of nonlinear concave utility functions, the logarithmic utility functions. We derive a duality relation between buyers and sellers under such utility functions, and use it to design a polynomial time algorithm for calculating equilibrium price, for the special case when either the number of sellers or the number of buyers is bounded by a constant.

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