Chichilnisky, Graciela (1977): Nonlinear functional analysis and optimal economic growth. Published in: Journal of Mathematical Analysis and Applications , Vol. 61, No. no. 2 (15. November 1977): pp. 504520.

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Abstract
A problem of existence and characterization of solutions of optimal growth models in many sector economies is studied The social utility to be optimized is a generalized form of a preference depending additively on consumption at the different dates of the planning period. The optimization b rattrirted to a set of admissible growth paths defined by productioninvestmentconsumption relations described by a system of differential equations. Sufficient conditions are given for existence of a solution in a Hilbert space of paths, without convexity assumptions on either the utilities of the technology, using techniques of nonlinear functional analysis. A characterization is given of the utilities which re continuous with respect to the Hilbert space norm. Under convexity assumptions a characteristic is also given of optimal and efficient solutions by competitive prices.
Item Type:  MPRA Paper 

Original Title:  Nonlinear functional analysis and optimal economic growth 
Language:  English 
Keywords:  nonlinear; optimal; growth; growth models; many sector; utility; optimization; growth paths; admissible; Hilbert; intertemporal allocations; policy; welfare; social welfare; competitive; topology; Sobolev; feasible; matrix; consumption; Lemmas; 
Subjects:  D  Microeconomics > D9  Intertemporal Choice C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods 
Item ID:  7990 
Depositing User:  Graciela Chichilnisky 
Date Deposited:  30. Mar 2008 04:34 
Last Modified:  15. Feb 2013 06:27 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/7990 