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Existence of optimal strategies in linear multisector models
Authors:Giuseppe Freni  Fausto Gozzi  Neri Salvadori
Affiliation:(1) Dipartimento di Studi Economici, Facoltà di Economia, Università Parthenope, via Medina 40, 80133 Napoli, Italy;(2) Dipartimento di Scienze Economiche ed Aziendali, Facoltà di Economia, Università LUISS – Guido Carli, vial Pola 12, 00198 Roma, Italy;(3) Dipartimento di Scienze Economiche,Facoltà di Economia, Università di Pisa, via Ridolfi 10, 56124 Pisa, Italy
Abstract:In this paper, we give a sufficient and almost necessary condition for the existence of optimal strategies in linear multisector models when time is continuous, consumption is limited to one commodity, the instantaneous utility is of the CES type, and available technology allows a positive growth rate.JEL Classification Numbers: C62, O41 We thank an anonymous referee of this journal for careful scrutiny and very useful suggestions
Keywords:Endogenous growth  Optimal control with mixed constraints  von Neumann growth model
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