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...

Static and dynamic games are important tools for the analysis of strategic interactions among economic agents and have found many applications in economics. In many games, equilibria can be described as solutions of polynomial equations. In this paper, we describe state-of-the-art techniques for...

Contents Refutable Theories of Value Donald J. Brown, Felix Kubler 1 Testable Restrictions on the Equilibrium Manifold Donald J. Brown, Rosa L. Matzkin 11 Uniqueness, Stability, and...