Fisher Equilibrium Price with a Class of Concave Utility Functions

نویسندگان

  • Ning Chen
  • Xiaotie Deng
  • Xiaoming Sun
  • Andrew Chi-Chih Yao
چکیده

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.

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تاریخ انتشار 2004