Solution to Non-Linear MHDS arising from Optimal Growth Problems

José Ruiz-Tamarit and M. Ventura-Marco

No 2000-16, Working Papers from FEDEA

Abstract: In this paper we propose a method for solving in closed form a general class of non-linear modified Hamiltonian dynamic systems (MHDS). This method may be used to analyze some intertemporal optimization problems With a predetermined structure involving unbounded technological constraints. The method seems specially well designed to study endogenous growth models With two controls and one state variable. We use the closed form solutions to Study either unicity or indeterminacy of the non-explosive paths in a Context charaterized by the lack of a well defined isolated steady state. Moreover, in this way we can avoid both the reduction of dimension and the linearization process even when the dynamic system offers a continuum of steady states or no steady stateat all.

JEL-codes: C61 C62 O41 (search for similar items in EconPapers)
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Journal Article: Solution to nonlinear MHDS arising from optimal growth problems (2011)
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