Time-Consistent Control in Non-Linear Models
AbstractWe show how to use optimal control theory to derive optimal time-consistent Markov-perfect government policies in nonlinear dynamic general equilibrium models, extending the result of Cohen and Michel (1988) for models with quadratic objective functions and linear dynamics. We replace private agents' costates by flexible functions of current states in the government's maximization problem. The functions are verified in equilibrium to an arbitrarily close degree of approximation. They can be found numerically by perturbation or projection methods. We use a stochastic model of optimal public spending to illustrate the technique.
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Bibliographic InfoPaper provided by Bank of Canada in its series Working Papers with number 07-3.
Length: 32 pages
Date of creation: 2007
Date of revision:
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Fiscal policy; Monetary policy framework;
Find related papers by JEL classification:
- E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination
- E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy
- C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
This paper has been announced in the following NEP Reports:
- NEP-ALL-2007-02-17 (All new papers)
- NEP-DGE-2007-02-17 (Dynamic General Equilibrium)
- NEP-MAC-2007-02-17 (Macroeconomics)
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