Tariff and Equilibrium Indeterminacy - A Global Analysis

Zhang (2009) shows that endogenous tariffs and endogenous labor income taxes (Schmitt-Grohe and Uribe, 1997) are equivalent in generating local indeterminacy. Using the method developed by Stockman (2009), we extend Zhang's analysis to prove that they are also equivalent in generating global indeterminacy (chaotic equilibria) under a balanced-budget rule. We show that the existence of Euler equation branching in an arbitrarily small neighborhood of a steady state can imply topological chaos in the sense of Devaney. In addition, the Euler equation branching occurs regardless of the local uniqueness of the equilibrium around the steady state(s).