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On the Existence of Markov-Consistent Plans under Production Uncertainty

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  • B. Douglas Bernheim
  • Debraj Ray

Abstract

Strotz (1956) and Pollak (1968) were among the first to study the behaviour of an economic agent whose preferences change over time. They suggested that such an agent would choose a "consistent plan" which they described as "the best plan that he would actually follow". A Markov-consistent plan has a particularly simple structure: current decisions are independent of past decisions, except insofar as past decisions affect the current values of state variables. Unfortunately, Markov-consistent plans do not generally exist. In this paper, we demonstrate that the existence problem dissappears for finite horizon problems when one introduces even a small amount of smooth uncertainty into production.

Suggested Citation

  • B. Douglas Bernheim & Debraj Ray, 1986. "On the Existence of Markov-Consistent Plans under Production Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(5), pages 877-882.
  • Handle: RePEc:oup:restud:v:53:y:1986:i:5:p:877-882.
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    File URL: http://hdl.handle.net/10.2307/2297724
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    Citations

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    Cited by:

    1. Balbus, Łukasz & Reffett, Kevin & Woźny, Łukasz, 2018. "On uniqueness of time-consistent Markov policies for quasi-hyperbolic consumers under uncertainty," Journal of Economic Theory, Elsevier, vol. 176(C), pages 293-310.
    2. Boldrin, Michele, 2005. "Public education and capital accumulation," Research in Economics, Elsevier, vol. 59(2), pages 85-109, June.
    3. Caplin, Andrew & Leahy, John, 2006. "The recursive approach to time inconsistency," Journal of Economic Theory, Elsevier, vol. 131(1), pages 134-156, November.
    4. Łukasz Balbus & Kevin Reffett & Łukasz Woźny, 2015. "Time consistent Markov policies in dynamic economies with quasi-hyperbolic consumers," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(1), pages 83-112, February.
    5. Doruk Cetemen & Felix Zhiyu Feng & Can Urgun, 2019. "Contracting with Non-Exponential Discounting: Moral Hazard and Dynamic Inconsistency," Working Papers 2019-17, Princeton University. Economics Department..
    6. Lilia Maliar & Serguei Maliar, 2016. "Ruling Out Multiplicity of Smooth Equilibria in Dynamic Games: A Hyperbolic Discounting Example," Dynamic Games and Applications, Springer, vol. 6(2), pages 243-261, June.
    7. Łukasz Balbus & Anna Jaśkiewicz & Andrzej S. Nowak, 2015. "Existence of Stationary Markov Perfect Equilibria in Stochastic Altruistic Growth Economies," Journal of Optimization Theory and Applications, Springer, vol. 165(1), pages 295-315, April.

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