In this article, we extend Brouwer's fixed point theorem – which states that every continuous mapping f :B→B (a closed ball of Rn ) must have a fixed point – by allowing discontinuities of f, and we apply this extension to equilibrium theory in Economics.

It is well known that an equilibrium in the Arrow-Debreu model may fail to exist if a very restrictive condition called the survival assumption is not satisfied.We study two approaches that allow for the relaxation of this condition.Danilov and Sotskov (1980), and Florig (1998a) developed a...

We explore a model of equilibrium selection in coordination games, where agents stochastically adjust their strategies to changes in their local environment. Instead of playing perturbed best-response, we assume that agents follow a rule of "switching to better strategies more likely". We relate...