Market equilibria with hybrid linear-leontief utilities

Authors:
Xi Chen;Li-Sha Huang;Shang-Hua Teng
Affiliations:
State Key Laboratory of Intelligent Technology and Systems, Dept. of Computer Science and Technology, Tsinghua Univ., Beijing, China;State Key Laboratory of Intelligent Technology and Systems, Dept. of Computer Science and Technology, Tsinghua Univ., Beijing, China;Computer Science Department, Boston University, Boston, Massachusetts
Venue:
WINE'06 Proceedings of the Second international conference on Internet and Network Economics
Year:
2006

Citing 12
Cited 2

Market Equilibrium via a Primal-Dual-Type Algorithm

FOCS '02 Proceedings of the 43rd Symposium on Foundations of Computer Science
On the complexity of price equilibria

Journal of Computer and System Sciences - STOC 2002
Auction algorithms for market equilibrium

STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
A Polynomial Time Algorithm for Computing the Arrow-Debreu Market Equilibrium for Linear Utilities

FOCS '04 Proceedings of the 45th Annual IEEE Symposium on Foundations of Computer Science
Market equilibria for homothetic, quasi-concave utilities and economies of scale in production

SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Leontief economies encode nonzero sum two-player games

SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
Settling the Complexity of Two-Player Nash Equilibrium

FOCS '06 Proceedings of the 47th Annual IEEE Symposium on Foundations of Computer Science
Computing Nash Equilibria: Approximation and Smoothed Complexity

FOCS '06 Proceedings of the 47th Annual IEEE Symposium on Foundations of Computer Science
A path to the Arrow–Debreu competitive market equilibrium

Mathematical Programming: Series A and B
On the complexity of market equilibria with maximum social welfare

Information Processing Letters
Sparse games are hard

WINE'06 Proceedings of the Second international conference on Internet and Network Economics
Exchange market equilibria with leontief’s utility: freedom of pricing leads to rationality

WINE'05 Proceedings of the First international conference on Internet and Network Economics

Settling the complexity of computing two-player Nash equilibria

Journal of the ACM (JACM)
Spending Is Not Easier Than Trading: On the Computational Equivalence of Fisher and Arrow-Debreu Equilibria

ISAAC '09 Proceedings of the 20th International Symposium on Algorithms and Computation

Quantified Score

Hi-index	0.00

Visualization

Abstract

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.