ABSTRACT
In this paper we study some models of economic equilibrium. We propose an approach based on the application of the techniques and methods of nonstandard analysis to economic equilibrium models. The main idea is the introduction and study of the properties of equilibria with “nonstandard prices,” but standard consumption plans for economic agents. For this purpose, a method for estimating the cost of an agent's consumption plan is introduced into the model, which is finer than the traditional one and allows a more exact evaluation of economic states. This makes it possible to prove the existence of equilibria without Slater's condition or any of its analogues that are necessary for proving the existence of the usual equilibria. Detailed considerations of these results and other problems that appear in economic models with nonstandard prices are discussed in Marakulin (1988).
