New conditions for the existence of equilibrium prices

Abstract

We study the existence of equilibrium price vector in a supply-demand model taking into account the transaction costs associated with the sale of products. In this model, the demand function is the solution to the problem of maximizing the utility function under budget constraints. The supply function is the solution to the problem of maximizing the profit (with given transaction losses) on the technology set. We establish sufficient conditions for the existence of the equilibrium price vector, which are consequences of some theorems in the theory of covering mappings.

Keywords

• economic equilibrium
• demand function
• supply function
• transaction costs
• coincidence points
• covering mappings