This work is concerned with singularly perturbed multi-scale switching diffusions. The switching process is a two-time-scale Markov chain with slow and fast components subject to weak and strong interactions. In the model, there are two small parameters ε and δ. The first one highlights the fast changing part of the switching process, and the other delineates the slow diffusion. We treat the ca...

Most economists intuitively consider purchasing power parity (PPP) to be true. Nevertheless, quite surprisingly, the empirical literature is not very supportive for PPP. In this paper, however, we …nd evidence in favor of PPP using a new test. The test is embedded in a Markov regime-switching model for the exchange rate, because earlier papers have shown that this model describes the data bette...

Switching costs may facilitate monopoly pricing in a market with price competition between two suppliers of a homogenous good, provided the switching cost is above some critical level. It is also well known that asymmetric size of customer bases makes monopoly pricing more difficult. Adding consumer heterogeneity to the model we demonstrate that also composition of each firm’s customer base aff...

I investigate cointegrating relationships such that, even though the long-run attractors are assumed to be linear, the dynamics of the equilibrium errors depends on the business cycle. I postulate a Markov-switching common stochastic trends model to study both the short-run responses to permanent shocks and the e/ects of recessions in the long-run growth. I apply these 0ndings to explore the sh...

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 derivative of the function at the steady state is bigger than one in absolute value. We show that the...

This paper introduces a Bayesian Markov regime-switching model that allows the cointegration relationship between two time series to be switched on and off over time. Unlike classical approaches for testing and modeling cointegration, the Bayesian Markov switching method allows for estimation of the regime-specific model parameters via Markov Chain Monte Carlo and generates more reliable estima...

This paper develops a theory of regular Markov perfect equilibria in dynamic stochastic games. We show that almost all dynamic stochastic games have a finite number of locally isolated Markov perfect equilibria that are all regular. These equilibria are essential and strongly stable. Moreover, they all admit purification. JEL classification numbers: C73, C61, C62.

By means of a very simple example, this note illustrates the appeal of using Bayesian rather than classical methods to produce inference on hidden states in models of Markovian regime switching. JEL Classification: C11, C22.