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Envelope theorem in dynamic economic models with recursive utility

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  • Rincón-Zapatero, Juan Pablo
  • Zhao, Yanyun

Abstract

This paper investigates the first-order differentiability properties of the value function in dynamic economic models with recursive preferences where the optimal policy may lie at the boundary of the feasible set under several regular assumptions originating from the static optimization theory plus an additional asymptotic condition.

Suggested Citation

  • Rincón-Zapatero, Juan Pablo & Zhao, Yanyun, 2018. "Envelope theorem in dynamic economic models with recursive utility," Economics Letters, Elsevier, vol. 163(C), pages 10-12.
    • Handle: RePEc:eee:ecolet:v:163:y:2018:i:c:p:10-12
    DOI: 10.1016/j.econlet.2017.11.018
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    References listed on IDEAS

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    1. Lucas, Robert Jr. & Stokey, Nancy L., 1984. "Optimal growth with many consumers," Journal of Economic Theory, Elsevier, vol. 32(1), pages 139-171, February.
    2. Rincón-Zapatero, Juan Pablo & Santos, Manuel S., 2009. "Differentiability of the value function without interiority assumptions," Journal of Economic Theory, Elsevier, vol. 144(5), pages 1948-1964, September.
    3. Benveniste, L M & Scheinkman, J A, 1979. "On the Differentiability of the Value Function in Dynamic Models of Economics," Econometrica, Econometric Society, vol. 47(3), pages 727-732, May.
    4. Boud, John III, 1990. "Recursive utility and the Ramsey problem," Journal of Economic Theory, Elsevier, vol. 50(2), pages 326-345, April.
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    Citations

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    Cited by:

    1. Juan Pablo Rincón-Zapatero, 2020. "Differentiability of the value function and Euler equation in non-concave discrete-time stochastic dynamic programming," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 79-88, April.

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    More about this item

    Keywords

    First-order differentiability; Dynamic economic models; Recursive utility;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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