Differentiability and comparative analysis in discrete-time infinite-horizon optimization

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Abstract

In this note 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 Kehoe, Levine, and Romer [J. Econ. Theory 50 (1990), 1-21] is extended here to economies with general equilibrium dynamics.

Original languageEnglish (US)
Pages (from-to)222-229
Number of pages8
JournalJournal of Economic Theory
Volume57
Issue number1
DOIs
StatePublished - Jun 1992
Externally publishedYes

ASJC Scopus subject areas

  • Economics and Econometrics

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