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Dynamic Programming for Non-Additive Stochastic Objectives

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  • Hiroyuki Ozaki
  • Peter A. Streufert
Abstract
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Suggested Citation

  • Hiroyuki Ozaki & Peter A. Streufert, 1994. "Dynamic Programming for Non-Additive Stochastic Objectives," University of Western Ontario, Departmental Research Report Series 9416, University of Western Ontario, Department of Economics.
    • Handle: RePEc:uwo:uwowop:9416
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    File URL: https://ir.lib.uwo.ca/cgi/viewcontent.cgi?article=1435&context=economicsresrpt
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    References listed on IDEAS

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    1. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    2. Roger E. A. Farmer, 1990. "RINCE Preferences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 43-60.
    3. Philippe Weil, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 29-42.
    4. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    5. Brock, William A. & Gale, David, 1969. "Optimal growth under factor augmenting progress," Journal of Economic Theory, Elsevier, vol. 1(3), pages 229-243, October.
    6. Lucas, Robert Jr. & Stokey, Nancy L., 1984. "Optimal growth with many consumers," Journal of Economic Theory, Elsevier, vol. 32(1), pages 139-171, February.
    7. Benhabib, Jess & Jafarey, Saqib & Nishimura, Kazuo, 1988. "The dynamics of efficient intertemporal allocations with many agents, recursive preferences, and production," Journal of Economic Theory, Elsevier, vol. 44(2), pages 301-320, April.
    8. Peter A. Streufert, 1990. "Stationary Recursive Utility and Dynamic Programming under the Assumption of Biconvergence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(1), pages 79-97.
    9. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March.
    10. Ozaki, Hiroyuki & Streufert, Peter A., 1996. "Dynamic programming for non-additive stochastic objectives," Journal of Mathematical Economics, Elsevier, vol. 25(4), pages 391-442.
    11. Boud, John III, 1990. "Recursive utility and the Ramsey problem," Journal of Economic Theory, Elsevier, vol. 50(2), pages 326-345, April.
    12. Epstein, Larry G., 1983. "Stationary cardinal utility and optimal growth under uncertainty," Journal of Economic Theory, Elsevier, vol. 31(1), pages 133-152, October.
    13. Streufert, Peter A., 1992. "An abstract topological approach to dynamic programming," Journal of Mathematical Economics, Elsevier, vol. 21(1), pages 59-88.
    14. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
    15. Ozaki, H. & Streufert, P., 1992. "Nonlinear Dynamics Programming for Nonlinear Stochastic Objectives," Working papers 9228, Wisconsin Madison - Social Systems.
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    Citations

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    Cited by:

    1. Jaroslav Borovička & John Stachurski, 2020. "Necessary and Sufficient Conditions for Existence and Uniqueness of Recursive Utilities," Journal of Finance, American Finance Association, vol. 75(3), pages 1457-1493, June.
    2. Anderson, Evan W., 2005. "The dynamics of risk-sensitive allocations," Journal of Economic Theory, Elsevier, vol. 125(2), pages 93-150, December.
    3. Thomas Mayer, 1997. "The rhetoric of Friedman's quantity theory manifesto," Journal of Economic Methodology, Taylor & Francis Journals, vol. 4(2), pages 199-220.
    4. Kiyohiko G. Nishimura & Hiroyuki Ozaki, 2001. "Search under the Knightian Uncertainty," CIRJE F-Series CIRJE-F-112, CIRJE, Faculty of Economics, University of Tokyo.
    5. Bloise, G. & Van, C. Le & Vailakis, Y., 2024. "An approximation approach to dynamic programming with unbounded returns," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    6. Jorge Durán, 2003. "Discounting long run average growth in stochastic dynamic programs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(2), pages 395-413, September.
    7. Streufert, P. A., 1995. "A general theory of separability for preferences defined on a countably infinite product space," Journal of Mathematical Economics, Elsevier, vol. 24(5), pages 407-434.
    8. Peter A. Streufert, 2023. "Dynamic Programming for Pure-Strategy Subgame Perfection in an Arbitrary Game," Papers 2302.03855, arXiv.org, revised Mar 2023.
    9. Nishimura, Kiyohiko G. & Ozaki, Hiroyuki, 2004. "Search and Knightian uncertainty," Journal of Economic Theory, Elsevier, vol. 119(2), pages 299-333, December.
    10. Ozaki, Hiroyuki & Streufert, Peter A., 1996. "Dynamic programming for non-additive stochastic objectives," Journal of Mathematical Economics, Elsevier, vol. 25(4), pages 391-442.
    11. Łukasz Balbus, 2020. "On recursive utilities with non-affine aggregator and conditional certainty equivalent," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(2), pages 551-577, September.
    12. Jing Guo & Xue Dong He, 2021. "Recursive Utility with Investment Gains and Losses: Existence, Uniqueness, and Convergence," Papers 2107.05163, arXiv.org.
    13. Marinacci, Massimo & Montrucchio, Luigi, 2010. "Unique solutions for stochastic recursive utilities," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1776-1804, September.
    14. Kiyohiko G. Nishimura & Hiroyuki Ozaki, 2003. "Liquidity Motives of Holding Money under Investment Risk: A Dynamic Analysis," CIRJE F-Series CIRJE-F-232, CIRJE, Faculty of Economics, University of Tokyo.
    15. Bloise, Gaetano & Vailakis, Yiannis, 2018. "Convex dynamic programming with (bounded) recursive utility," Journal of Economic Theory, Elsevier, vol. 173(C), pages 118-141.
    16. Shin-ichi Fukuda, 2001. "A Model of Keynesian under Knightian Uncertainty," CIRJE F-Series CIRJE-F-115, CIRJE, Faculty of Economics, University of Tokyo.
    17. Rahul Deb & Yuichi Kitamura & John K H Quah & Jörg Stoye, 2023. "Revealed Price Preference: Theory and Empirical Analysis," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 90(2), pages 707-743.
    18. Kiyohiko G. Nishimura & Hiroyuki Ozaki, 2014. "Liquidity Preference And Knightian Uncertainty," CARF F-Series CARF-F-337, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    19. Masayuki Yao, 2016. "Recursive Utility and the Solution to the Bellman Equation," Discussion Paper Series DP2016-08, Research Institute for Economics & Business Administration, Kobe University.
    20. Toda, Alexis Akira, 2014. "Incomplete market dynamics and cross-sectional distributions," Journal of Economic Theory, Elsevier, vol. 154(C), pages 310-348.
    21. Guanlong Ren & John Stachurski, 2018. "Dynamic Programming with Recursive Preferences: Optimality and Applications," Papers 1812.05748, arXiv.org, revised Jun 2020.
    22. Bäuerle, Nicole & Jaśkiewicz, Anna, 2018. "Stochastic optimal growth model with risk sensitive preferences," Journal of Economic Theory, Elsevier, vol. 173(C), pages 181-200.

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