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Title:Time-consistent control in non-linear models PDF Logo
Authors:Ambler, Steve
Pelgrin, Florian
Issue Date:2007
Series/Report no.:Bank of Canada Working Paper 2007,3
Abstract:We 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.
Subjects:Fiscal policy
Monetary policy framework
JEL:E61
E62
C63
Document Type:Working Paper
Appears in Collections:Bank of Canada Working Papers

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