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A CORRESPONDENCE-THEORETIC APPROACH TO DYNAMIC OPTIMIZATION

Published online by Cambridge University Press:  01 May 2009

C. D. Aliprantis
Affiliation:
Krannert School of Management, Purdue University
G. Camera*
Affiliation:
Krannert School of Management, Purdue University
*
Address correspondence to: Gabriele Camera, Department of Economics, Krannert School of Management, Purdue University, 403 West State Street, West Lafayette, IN 47907-2056, USA; e-mail: gcamera@purdue.edu.
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Abstract

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This paper introduces a method of optimization in infinite-horizon economies based on the theory of correspondences. The proposed approach allow us to study time-separable and non-time-separable dynamic economic models without resorting to fixed point theorems or transversality conditions. When our technique is applied to the standard time-separable model it provides an alternative and straightforward way to derive the common recursive formulation of these models by means of Bellman equations.

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Copyright
Copyright © Cambridge University Press 2009