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Huggett Economies with Multiple Stationary Equilibria

Toda, Alexis Akira (2017): Huggett Economies with Multiple Stationary Equilibria.

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Abstract

I obtain a closed-form solution to a Huggett economy with CARA utility when the vector of individual state variables follows a VAR(1) process with an arbitrary shock distribution. The stationary equilibrium is unique if the income process is AR(1), but not necessarily so otherwise. With Gaussian shocks, I provide general sufficient conditions for the existence of at least three equilibria when the income process is either ARMA(1,1), AR(2), or has a persistent-transitory (PT) representation with negatively correlated shocks. The possibility of multiple equilibria calls for caution in comparative statics exercises and policy analyses using heterogeneous-agent models.

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