DUALITY THEORY FOR A WALRASIAN EQUILIBRIUM PROBLEM

We consider a Walrasian equilibrium for a pure exchange economy. The equilibrium conditions are expressed in terms of a quasi-variational inequality for which, by recent results, the existence of solution is provided. Moreover, the Generalized Lagrangean and Duality theories are studied and, as an interesting consequence, we obtain the Lagrangean variables. This theory plays an extraordinary role, in fact it allows us to describe the behavior of the market. We also present an example and we find the equilibrium solution by means of the Lagrangean multipliers.