We consider discrete time Markov chains on general state space. It is shown that a certain property referred to here as nondecomposability is equivalent to irreducibility and that a Markov chain with invariant distribution is irreducible if and only if the invariant distribution is unique and...

We propose a generalized conditional Monte Carlo technique for computing densities in economic models. Global consistency and functional asymptotic normality are established under ergodicity assumptions on the simulated process. The asymptotic normality result allows us to characterize the...

Using a variation of the coupling from the past technique, this paper develops algorithms which generate independent observations from the stationary distributions of various dynamic economic models. These variates can be used for calibration, calculation of steady state phenomena, and...

We propose a generalized conditional Monte Carlo technique for computing densities in economic models. Global consistency and functional asymptotic normality are established under ergodicity assumptions on the simulated process. The asymptotic normality result allows us to characterize the...

We propose a generalized look-ahead estimator for computing densities and expectations in economic models. We provide conditions under which the estimator converges globally with probability one, and exhibit the asymptotic distribution of the error. Our estimator is more efficient than other...

This paper studies fitted value iteration for continuous state dynamic programming using nonexpansive function approximators. A number of nonexpansive approximation schemes are discussed. The main contribution is to provide error bounds for approximate optimal policies generated by the value...

We study a two-country version of Matsuyama's [K. Matsuyama, Financial market globalization, symmetry-breaking, and endogenous inequality of nations, Econometrica 72 (2004) 853-884] world economy model. As in Matsuyama's model, symmetry-breaking can be observed, and symmetry-breaking generates...

This paper studies a multisector model of commodity markets with storage, solving the representative agent problem and obtaining the corresponding decentralized equilibrium. We describe the dynamics of the model, establishing geometric ergodicity, a Law of Large Numbers and a Central Limit Theorem.