Using the Convex Optimization Tools for finding the Warlasian Economic Equilibrium

In this work we shall present how we can use the tools of convex optimization to find a Warlasian equilibrium in a pure exchange economy by using the properties of orthogonal projection on the convex closed set. In order to simplify, we consider the case which, there are two goods and twoCOISLICITS.

Keywords:

Convex optimization , orthogonal projection , Warlasian equilibrium , pure exchangeeconomy