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Solving the multi-country real business cycle model using ergodic set methods
Authors:Serguei Maliar  Lilia Maliar  Kenneth Judd
Affiliation:a University of Alicante, Spain
b Hoover Institution at Stanford University, United States
Abstract:We use the stochastic simulation algorithm, described in Judd et al. (2009), and the cluster-grid algorithm, developed in Judd et al. (2010a), to solve a collection of multi-country real business cycle models. The following ingredients help us reduce the cost in high-dimensional problems: an endogenous grid enclosing the ergodic set, linear approximation methods, fixed-point iteration and efficient integration methods, such as non-product monomial rules and Monte Carlo integration combined with regression. We show that high accuracy in intratemporal choice is crucial for the overall accuracy of solutions and offer two approaches, precomputation and iteration-on-allocation, that can solve for intratemporal choice both accurately and quickly. We also implement a hybrid solution algorithm that combines the perturbation and accurate intratemporal-choice methods.
Keywords:Heterogeneous agents   Numerical methods   Stochastic simulation   Parameterized expectations algorithm   Projection   Perturbation
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