Solvability of perturbation solutions in DSGE models

DOI10.1016/j.jedc.2014.06.005zbMath1402.91374OpenAlexW2075142998MaRDI QIDQ1994616

Hong Lan, Alexander Meyer-Gohde

Publication date: 1 November 2018

Published in: Journal of Economic Dynamics \& Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jedc.2014.06.005

zbMATH Keywords

perturbationsolvabilitynonlinearSylvester equationsDSGEBézout's theorem

Mathematics Subject Classification ID

Economic growth models (91B62) Matrix equations and identities (15A24) Dynamic stochastic general equilibrium theory (91B51)

Related Items

Solving DSGE models with a nonlinear moving average ⋮ Solving and estimating linearized DSGE models with VARMA shock processes and filtered data ⋮ DOES NEAR‐RATIONALITY MATTER IN FIRST‐ORDER APPROXIMATE SOLUTIONS? A PERTURBATION APPROACH ⋮ Risk matters: breaking certainty equivalence in linear approximations ⋮ Perturbations in DSGE models: an odd derivatives theorem

Uses Software

• mctoolbox
• quadeig
• Dynare
• Uhlig Toolkit
• Gensys

Cites Work

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• Estimating nonlinear DSGE models by the simulated method of moments: with an application to business cycles
• The commutation matrix: Some properties and applications
• The forward method as a solution refinement in rational expectations models
• Solving the multi-country real business cycle model using a perturbation method
• Second-order approximation of dynamic models without the use of tensors
• Solving linear rational expectations models: A horse race
• Solving dynamic general equilibrium models using a second-order approximation to the policy function
• Computing second-order-accurate solutions for rational expectation models using linear solution methods
• The solution of the matrix equations \(AXB-CXD=E\) and \((YA-DZ,YC- BZ)=(E,F)\)
• Asymptotic methods for aggregate growth models
• Using the generalized Schur form to solve a multivariate linear rational expectations model
• Solving linear rational expectations models
• System reduction and solution algorithms for singular linear difference systems under rational expectations
• Solving DSGE models with a nonlinear moving average
• Perturbation theory and backward error for \(AX - XB = C\)
• Solving SDGE models: a new algorithm for the Sylvester equation
• Calculating and using second-order accurate solutions of discrete time dynamic equilibrium models
• Numerically stable and accurate stochastic simulation approaches for solving dynamic economic models
• An algorithm for the complete solution of quadratic eigenvalue problems
• A Hessenberg-Schur method for the problem AX + XB= C
• The Solution of Linear Difference Models under Rational Expectations
• The Algebraic Theory of Matrix Polynomials
• SOLVING LARGE-SCALE RATIONAL-EXPECTATIONS MODELS
• A Perturbation Analysis of the Generalized Sylvester Equation $( AR - LB,DR - LE ) = ( C,F )$
• Numerical analysis of a quadratic matrix equation
• Accuracy and Stability of Numerical Algorithms
• Matrix Calculus Operations and Taylor Expansions