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Comparative Dynamics in Aggregate Models of Optimal Capital Accumulation

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  • Robert A. Becker

Abstract

The hypothesis that capital increases at each time in response to an increase in the discount factor is explored for a class of aggregate models of optimal accumulation. When the optimal program is monotonic, capital is shown to increase with an increase in the discount factor. A counterexample in the case of oscillating programs is discussed. An application of the monotone case is given for an adjustment cost model of the firm.

Suggested Citation

  • Robert A. Becker, 1985. "Comparative Dynamics in Aggregate Models of Optimal Capital Accumulation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(4), pages 1235-1256.
    • Handle: RePEc:oup:qjecon:v:100:y:1985:i:4:p:1235-1256.
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    File URL: http://hdl.handle.net/10.2307/1885682
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    Cited by:

    1. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
    2. Jean-Pierre Drugeon & Bertrand Wigniolle, 2021. "On Markovian collective choice with heterogeneous quasi-hyperbolic discounting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(4), pages 1257-1296, November.
    3. Gaetano Bloise & Pietro Reichlin, 2009. "An Obtrusive Remark On Capital And Comparative Statics," Metroeconomica, Wiley Blackwell, vol. 60(1), pages 54-76, February.
    4. Datta, Manjira & Mirman, Leonard J. & Morand, Olivier F. & Reffett, Kevin L., 2005. "Markovian equilibrium in infinite horizon economies with incomplete markets and public policy," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 505-544, August.
    5. Joël Blot & Bertrand Crettez, 2004. "On the smoothness of optimal paths," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 27(1), pages 1-34, August.
    6. Santos, Manuel S., 1992. "Differentiability and comparative analysis in discrete-time infinite-horizon optimization," Journal of Economic Theory, Elsevier, vol. 57(1), pages 222-229.

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