This paper develops a method to compute the equilibrium correspondence for exchangeeconomies with semi-algebraic preferences. Given a class of semi-algebraic exchange economiesparameterized by individual endowments and possibly other exogenous variables such as prefer-ence parameters or asset...

This paper examines the equilibrium correspondence in Arrow-Debreu exchange economies with semi-algebraic preferences. We show that a generic semi-algebraic exchange economy gives rise to a square system of polynomial equations with finitely many solutions. The competitive equilibria form a...

Multiplicity of equilibria is a common problem in many economic models. In general, it is impossible to devise methods that always find all equilibria for any type of model. A notable exception are models in which all equilibria are solutions to a system of polynomial equations since there are...