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Optimal Economic growth with recursive preferences: decreasing rate of time preference

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  • Rolf Mantel

Abstract

In the field of optimal growth theory, since Ramsey's time it is frequent to maximize a welfare function consisting of the discounted sum of instantaneous utilities. Such an optimality criterion implies that preferences are independent over time. Following in the tradition of Irwing Fisher, Koopmans presented postulates for recursive preferences for which the rate of time preference is variable. In a later study with Beals he showed that the implications are that even in the simplest situations described by the neoclassical growth model initial conditions affect the long run optimal path. These authors assumed a quasiconcave welfare function. In the present essay their analysis is extended to the case of a discounted sum of instantaneous utilities when the discount rate decreases as consumption increases, and the welfare function need not be concave.

Suggested Citation

  • Rolf Mantel, 1998. "Optimal Economic growth with recursive preferences: decreasing rate of time preference," Estudios de Economia, University of Chile, Department of Economics, vol. 25(2 Year 19), pages 161-178, December.
    • Handle: RePEc:udc:esteco:v:25:y:1998:i:2:p:161-178
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    Cited by:

    1. Erol, Selman & Le Van, Cuong & Saglam, Cagri, 2011. "Existence, optimality and dynamics of equilibria with endogenous time preference," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 170-179, March.
    2. Chakrabarty Debajyoti, 2012. "Poverty Traps and Growth in a Model of Endogenous Time Preference," The B.E. Journal of Macroeconomics, De Gruyter, vol. 12(1), pages 1-35, July.

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    Keywords

    Economic growth; recursive preferences.;

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