A Note on the Application of Schubert Calculus in Heterogeneous Economies With Pure Exchange

In this paper we find a geometrical characterization of some components of the theory of equilibrium Walrasian and the existence of these in a pure exchange economy with heterogeneous agents where there are r goods and m agents. It will be proven that this economics admit stratification, for this we will consider the Grassmannian varieties. These are of greater importance for construct varieties of flags that contain information for obtaining the core of the economy and the existence of equilibrium.