Fisher Equilibrium Price with a Class of Concave Utility Functions (2004)
| Venue: | IN THE PROCEEDINGS OF ESA 2004 |
| Citations: | 12 - 1 self |
BibTeX
@INPROCEEDINGS{Chen04fisherequilibrium,
author = {Ning Chen and Xiaotie Deng and Xiaoming Sun and Andrew Chi-chih Yao},
title = {Fisher Equilibrium Price with a Class of Concave Utility Functions },
booktitle = {IN THE PROCEEDINGS OF ESA 2004},
year = {2004},
pages = {169--179},
publisher = {}
}
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Abstract
We study efficient algorithms for computing equilibrium price in the Fisher model for a class of nonlinear concave utility functions, the logarithmic utility functions. A duality relation is derived between buyers and sellers under such utility functions. It is applied 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.
