Article ID Journal Published Year Pages File Type
428419 Information Processing Letters 2006 8 Pages PDF
Abstract

We consider the computational complexity of the market equilibrium problem by exploring the structural properties of the Leontief exchange economy. We prove that, for economies guaranteed to have a market equilibrium, finding one with maximum social welfare or maximum individual welfare is NP-hard. In addition, we prove that counting the number of equilibrium prices is #P-hard.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics