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A Generalization of Fatou's Lemma for Extended Real-Valued Functions on σ-Finite Measure Spaces: With an Application to Infinite-Horizon Optimization in Discrete Time

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  • Takashi Kamihigashi

    (Research Institute for Economics & Business Administration (RIEB), Kobe University, Japan)

Abstract

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  • Takashi Kamihigashi, 2016. "A Generalization of Fatou's Lemma for Extended Real-Valued Functions on σ-Finite Measure Spaces: With an Application to Infinite-Horizon Optimization in Discrete Time," Discussion Paper Series DP2016-37, Research Institute for Economics & Business Administration, Kobe University, revised Jan 2017.
    • Handle: RePEc:kob:dpaper:dp2016-37
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    File URL: https://www.rieb.kobe-u.ac.jp/academic/ra/dp/English/DP2016-37.pdf
    File Function: Revised version, 2017
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    References listed on IDEAS

    as
    1. Kamihigashi, Takashi, 2005. "Necessity of the transversality condition for stochastic models with bounded or CRRA utility," Journal of Economic Dynamics and Control, Elsevier, vol. 29(8), pages 1313-1329, August.
    2. Takashi Kamihigashi, 2014. "Elementary results on solutions to the bellman equation of dynamic programming: existence, uniqueness, and convergence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 251-273, June.
    3. Le Van, Cuong & Morhaim, Lisa, 2002. "Optimal Growth Models with Bounded or Unbounded Returns: A Unifying Approach," Journal of Economic Theory, Elsevier, vol. 105(1), pages 158-187, July.
    4. Kamihigashi, Takashi, 2003. "Necessity of transversality conditions for stochastic problems," Journal of Economic Theory, Elsevier, vol. 109(1), pages 140-149, March.
    5. Kamihigashi, Takashi, 2001. "Necessity of Transversality Conditions for Infinite Horizon Problems," Econometrica, Econometric Society, vol. 69(4), pages 995-1012, July.
    6. Takashi Kamihigashi, 2003. "Necessity of the Transversality Condition for Stochastic Models with CRRA Utility," Discussion Paper Series 137, Research Institute for Economics & Business Administration, Kobe University.
    7. Ivar Ekeland & José Alexandre Scheinkman, 1986. "Transversality Conditions for Some Infinite Horizon Discrete Time Optimization Problems," Mathematics of Operations Research, INFORMS, vol. 11(2), pages 216-229, May.
    8. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, January.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Vesna Gotovac Dogaš & Kateřina Helisová, 2021. "Testing Equality of Distributions of Random Convex Compact Sets via Theory of 𝕹 $\mathfrak {N}$ -Distances," Methodology and Computing in Applied Probability, Springer, vol. 23(2), pages 503-526, June.

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