A Model of Optimal Allocation of Resources to R&D: Further Results. I

Authors:   Lysenko A

Publication Year:   2003

Reference:  IIASA Interim Report IR-03-022

Abstract

We provide further analysis of two-country endogenous growth model considered in Aseev, et.al., 2002. to solve a suitably defined infinite horizon dynamic optimization problem an appropriate version of the Pontryagin maximum principle is applied. The properties of optimal controls and the corresponding optimal trajectories are characterized by means of a qualitative analysis of the solutions of the Hamiltonian system arising through the implementation of the Pontryagin maximum principle.

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