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Non-Time Additive Utility Optimization - the Case of Certainty

Author

Listed:
  • Peter Bank

    (Humboldt University Berlin)

  • Frank Riedel

    (Humboldt University Berlin)

Abstract

We study the intertemporal utility maximization problem for Hindy- Huang-Kreps utilities. Necessary and sufficient conditions for optimality are given. An explicit solution is provided for a large class of utility functions. In particular, the case of separable power utilities with a finite time horizon is solved explicitly.

Suggested Citation

  • Peter Bank & Frank Riedel, 1998. "Non-Time Additive Utility Optimization - the Case of Certainty," GE, Growth, Math methods 9811002, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpge:9811002
    Note: Type of Document - LaTex/; prepared on IBM PC - PC-TEX; to print on HP/PostScript; pages: 18; figures: none
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    References listed on IDEAS

    as
    1. Hindy, Ayman & Huang, Chi-fu & Kreps, David, 1992. "On intertemporal preferences in continuous time : The case of certainty," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 401-440.
    2. Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-543, June.
    3. Sundaresan, Suresh M, 1989. "Intertemporally Dependent Preferences and the Volatility of Consumption and Wealth," The Review of Financial Studies, Society for Financial Studies, vol. 2(1), pages 73-89.
    4. Hindy, Ayman & Huang, Chi-fu, 1992. "Intertemporal Preferences for Uncertain Consumption: A Continuous Time Approach," Econometrica, Econometric Society, vol. 60(4), pages 781-801, July.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Peter Bank & Frank Riedel, 2003. "Optimal Dynamic Choice of Durable and Perishable Goods," Levine's Bibliography 666156000000000402, UCLA Department of Economics.
    2. Bank, Peter & Riedel, Frank, 1999. "Optimal consumption choice under uncertainty with intertemporal substitution," SFB 373 Discussion Papers 1999,71, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    3. Gilboa, Itzhak & Postlewaite, Andrew & Samuelson, Larry, 2016. "Memorable consumption," Journal of Economic Theory, Elsevier, vol. 165(C), pages 414-455.
    4. Li, Hanwu & Riedel, Frank & Yang, Shuzhen, 2024. "Optimal consumption for recursive preferences with local substitution — the case of certainty," Journal of Mathematical Economics, Elsevier, vol. 110(C).
    5. Manel Baucells & Lin Zhao, 2019. "It Is Time to Get Some Rest," Management Science, INFORMS, vol. 65(4), pages 1717-1734, April.
    6. Carlier Guillaume & Dana Rose-Anne, 2006. "Law invariant concave utility functions and optimization problems with monotonicity and comonotonicity constraints," Statistics & Risk Modeling, De Gruyter, vol. 24(1/2006), pages 1-26, July.
    7. Jeon, Junkee & Koo, Hyeng Keun & Park, Kyunghyun, 2021. "Finite horizon portfolio selection with durable goods," Mathematical Social Sciences, Elsevier, vol. 111(C), pages 55-67.
    8. Manel Baucells & Lin Zhao, 2020. "Everything in Moderation: Foundations and Applications of the Satiation Model," Management Science, INFORMS, vol. 66(12), pages 5701-5719, December.
    9. Gundel, Anne & Weber, Stefan, 2008. "Utility maximization under a shortfall risk constraint," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1126-1151, December.
    10. Riedel, Frank, 2001. "Optimal consumption choice for ratchet investors," SFB 373 Discussion Papers 2001,92, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    11. Ferrari, Giorgio & Li, Hanwu & Riedel, Frank, 2020. "Optimal Consumption with Intertemporal Substitution under Knightian Uncertainty," Center for Mathematical Economics Working Papers 641, Center for Mathematical Economics, Bielefeld University.
    12. repec:dau:papers:123456789/2317 is not listed on IDEAS

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    More about this item

    Keywords

    intertemporal utility; non time additive utility;

    JEL classification:

    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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