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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Optimal programs and their price characterization in a multisector growth model with uncertainty


Author: Nikolaos S. Papageorgiou
Journal: Proc. Amer. Math. Soc. 122 (1994), 227-240
MSC: Primary 90A16; Secondary 49K27, 49N15, 90A17, 93E20
MathSciNet review: 1195728
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Abstract: In this paper we examine a nonstationary multisector growth model with uncertainty in which future utilities are discounted. First we establish the existence of strongly optimal programs emanating from a given initial capital stock. Then we show that this optimal program $ \hat x$ is sustained by a system of prices $ \hat p$ so that the pair $ [\hat x,\hat p]$ is competitive and a strong transversality condition holds. We also show that competitiveness and transversality imply optimality.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1195728-X
PII: S 0002-9939(1994)1195728-X
Keywords: Multisector growth model, feasible program, discount factor, free disposability, intertemporal utility, support prices, transversality condition
Article copyright: © Copyright 1994 American Mathematical Society