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Differentiability and comparative analysis in discrete-time infinite- horizon optimization. (English) Zbl 0756.90026
Summary: I consider a family of discrete-time intertemporally separable optimization problems with unbounded horizon in which the objective is parameterized by a finite dimensional vector. Under standard assumptions, I show that optimal solutions vary smoothly with the initial state and the vector of parameters. These results provide a basic framework to develop the familiar methods of comparative analysis in a dynamic setting. Likewise, the local analysis of equilibria set out by T. J. Kehoe, D. K. Levine and P. M. Romer [J. Econ. Theory, 50, 1-21 (1990; Zbl 0689.90013)] is extended here to economies with general equilibrium dynamics.
Reviewer: Reviewer (Berlin)

MSC:
91B62 Economic growth models
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