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We examine the nonlinear one-step forward-looking model, in which the current state is a function of the (subjective) expected value of a nonlinear function of the state next period. Stationary Markov Sunspot Equilibria (SSEs) are known to exist near an indeterminate steady state, i.e. when the...
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We examine the nonlinear model x(t)=E(t)F(x(t+1)). Markov SSEs (stationary sunspot equilibria) exist near an indeterminate steady state, x=F(x), provided |F'(x)| 1. Despite the importance of indeterminacy in macroeconomics, earlier results have not provided conditions for the existence of...
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We consider the stability under adaptive learning of the complete set of solutions x1 = ßE1*x1+1 when /ß/1. In addition to the fundamentals solution, the literature describes both finite-state Markov sunspot solutions, satisfying a resonant frequency condition, and autoregressive solutions...
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We develop a monetary model with flexible supply of labor, cash in advance constraints and government spending financed by seignorage. This model has two regimes. One regime is conventional with two steady states. The other regime has a unique steady state which can be determinate or...
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We examine the nonlinear model Xt = Et F(xt+1) . Markov SSEs exist near an indeterminate steady state, X = F(X), provided F´(X)> 1. We show that there exist Markov SSEs that are E-stable, and therefore locally stable under adaptive learning, if F´(X)< -1.
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