dr Piotr Maćkowiak (Poznań University of Economics)
Existence of equilibrium in economic models
We will present theorems based on the result of Uzawa, which are equivalent to Brouwer fixed point theorem and which are widely used in the proofs of equilibrium in economic models. Furthermore, we will prove the equivalence of existence of economic equlibria in pure exchange economy with monotone preference relation and Brouwer fixed point theorem. In fact, we will only show the sufficient condition, because the necessity was proved by A. Mas-Colell.