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The Inverse Optimal Problem: A Dynamic Programming Approach

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Chang, Fwu-Ranq

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Abstract

This paper solves the stochastic inverse optimal problem. Dynamic programming is used to transform the origina l problem into a differential equation. A solution exists for any pro duction function with a finite slope at the origin provided the savin gs function, starting from the origin, is steep initially and flat ev entually. Three consumption functions-linear, Keynes-ian, and Cantabr igian-are also studied with a Cobb-Douglas production technology. A w ell-known result in discrete time models-that a logarithmic utility f unction and a Cobb-Douglas production function imply a Keynesian cons umption function-does not carry through to the continuous time case. Copyright 1988 by The Econometric Society.

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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 56 (1988)
Issue (Month): 1 (January)
Pages: 147-72
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Handle: RePEc:ecm:emetrp:v:56:y:1988:i:1:p:147-72

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  5. Davide Fiaschi - Matteo Marsili, 2009. "Distribution of Wealth and Incomplete Markets: Theory and Empirical Evidence," Discussion Papers 2009/83, Dipartimento di Scienze Economiche (DSE), University of Pisa, Pisa, Italy. [Downloadable!]
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