Fisher Equilibrium Price with a Class of Concave Utility Functions

  • Ning Chen
  • Xiaotie Deng
  • Xiaoming Sun
  • Andrew Chi-Chih Yao
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3221)

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.

Keywords

Utility Function Polynomial Time Algorithm Price Vector Polynomial Time Approximation Scheme Fisher Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Ning Chen
    • 1
  • Xiaotie Deng
    • 2
  • Xiaoming Sun
    • 3
  • Andrew Chi-Chih Yao
    • 4
  1. 1.Department of Computer ScienceFudan UniversityChina
  2. 2.Department of Computer ScienceCity University of Hong Kong 
  3. 3.Department of Computer Science and TechnologyTsinghua UniversityChina
  4. 4.Department of Computer SciencePrinceton University 

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