The Closed-Form Solution for a Family of Four-Dimension Non-Linear MHDS

José Ruiz-Tamarit

No 2002-18, Working Papers from FEDEA

Abstract: In this paper I propose a method for solving in closed form a general class of four-dimension non-linear modified Hamiltonian dynamic systems. This method may be used to study several intertemporal optimization problems with a predetermined structure, involving unbounded technological constraints as well as multiple controls and state variables. The method is developed here by solving the first order conditions corresponding to the socially optimal solution to the Lucas (1988) two-sector model of endogenous growth

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Journal Article: The closed-form solution for a family of four-dimension nonlinear MHDS (2008)
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