Market Equilibria with Hybrid Linear-Leontief Utilities

  • Xi Chen
  • Li-Sha Huang
  • Shang-Hua Teng
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4286)


We introduce a new family of utility functions for exchange markets. This family provides a natural and “continuous” hybridization of the traditional linear and Leontief utilities and might be useful in understanding the complexity of computing and approximating market equilibria. Because this family of utility functions contains Leontief utility functions as special cases, finding approximate Arrow-Debreu equilibria with hybrid linear-Leontief utilities is PPAD-hard in general. In contrast, we show that, when the Leontief components are grouped, finite and well-conditioned, we can efficiently compute an approximate Arrow-Debreu equilibrium.


Utility Function Nash Equilibrium Approximation Algorithm Polynomial Time Exchange Market 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Xi Chen
    • 1
  • Li-Sha Huang
    • 1
  • Shang-Hua Teng
    • 2
  1. 1.State Key Laboratory of Intelligent Technology and Systems, Dept. of Computer Science and TechnologyTsinghua Univ.BeijingChina
  2. 2.Computer Science DepartmentBoston UniversityBoston, MassachusettsUSA

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