IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v47y2011i2p213-226.html
   My bibliography  Save this article

Modeling nonmonotone preferences: The case of utility smoothing

Author

Listed:
  • Wakai, Katsutoshi

Abstract

We propose a model of intertemporal choice in which a strong dislike of volatility involved in a utility sequence causes preferences to be nonmonotone. In particular, this notion of utility smoothing allows us to axiomatize a representation that captures an extreme dislike of losses. When applied to a consumption-saving problem, the nonmonotone preferences induced by our model never suggest a monotonically decreasing consumption profile. Furthermore, an optimal consumption sequence need not be monotonically increasing. Our model may suggest spreading large and small consumption allocations over time if the volatility involved in a utility sequence is sufficiently low.

Suggested Citation

  • Wakai, Katsutoshi, 2011. "Modeling nonmonotone preferences: The case of utility smoothing," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 213-226, March.
  • Handle: RePEc:eee:mateco:v:47:y:2011:i:2:p:213-226
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406811000358
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Shalev, Jonathan, 1997. "Loss aversion in a multi-period model," Mathematical Social Sciences, Elsevier, vol. 33(3), pages 203-226, June.
    2. Kareen Rozen, 2010. "Foundations of Intrinsic Habit Formation," Econometrica, Econometric Society, vol. 78(4), pages 1341-1373, July.
    3. Katsutoshi Wakai, 2008. "A Model of Utility Smoothing," Econometrica, Econometric Society, vol. 76(1), pages 137-153, January.
    4. De Waegenaere, Anja & Wakker, Peter P., 2001. "Nonmonotonic Choquet integrals," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 45-60, September.
    5. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    6. Michael Carter, 2001. "Foundations of Mathematical Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262531925, December.
    7. Geoffard, Pierre-Yves, 1996. "Discounting and Optimizing: Capital Accumulation Problems as Variational Minmax Problems," Journal of Economic Theory, Elsevier, vol. 69(1), pages 53-70, April.
    8. Gilboa, Itzhak, 1989. "Expectation and Variation in Multi-period Decisions," Econometrica, Econometric Society, vol. 57(5), pages 1153-1169, September.
    9. Lowenstein, George & Prelec, Drazen, 1991. "Negative Time Preference," American Economic Review, American Economic Association, vol. 81(2), pages 347-352, May.
    10. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    11. Loewenstein, George F & Sicherman, Nachum, 1991. "Do Workers Prefer Increasing Wage Profiles?," Journal of Labor Economics, University of Chicago Press, vol. 9(1), pages 67-84, January.
    12. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
    13. Casadesus-Masanell, Ramon & Klibanoff, Peter & Ozdenoren, Emre, 2000. "Maxmin Expected Utility over Savage Acts with a Set of Priors," Journal of Economic Theory, Elsevier, vol. 92(1), pages 35-65, May.
    14. F J Anscombe & R J Aumann, 2000. "A Definition of Subjective Probability," Levine's Working Paper Archive 7591, David K. Levine.
    15. Ramon Casadesus-Masanell & Peter Klibanoff & Emre Ozdenoren, 1998. "Maximum Expected Utility over Savage Acts with a Set of Priors," Discussion Papers 1218, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    16. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March.
    17. Michael Carter, 2001. "Foundations of Mathematical Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262032899, December.
    18. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
    19. Paul A. Samuelson, 1937. "A Note on Measurement of Utility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 4(2), pages 155-161.
    20. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Shigeta, Yuki, 2020. "Gain/loss asymmetric stochastic differential utility," Journal of Economic Dynamics and Control, Elsevier, vol. 118(C).
    2. Myong‐Il Kang & Shinsuke Ikeda, 2014. "Time Discounting And Smoking Behavior: Evidence From A Panel Survey," Health Economics, John Wiley & Sons, Ltd., vol. 23(12), pages 1443-1464, December.
    3. Katsutoshi Wakai, 2013. "Intertemporal utility smoothing under uncertainty," Theory and Decision, Springer, vol. 74(2), pages 285-310, February.
    4. Wakai, Katsutoshi, 2012. "An infinite-horizon model of nonmonotone utility smoothing," Economics Letters, Elsevier, vol. 116(2), pages 170-173.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wakai, Katsutoshi, 2012. "An infinite-horizon model of nonmonotone utility smoothing," Economics Letters, Elsevier, vol. 116(2), pages 170-173.
    2. De Waegenaere, Anja & Wakker, Peter P., 2001. "Nonmonotonic Choquet integrals," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 45-60, September.
    3. Ghirardato, Paolo & Marinacci, Massimo, 2002. "Ambiguity Made Precise: A Comparative Foundation," Journal of Economic Theory, Elsevier, vol. 102(2), pages 251-289, February.
    4. R. Luce & A. Marley, 2005. "Ranked Additive Utility Representations of Gambles: Old and New Axiomatizations," Journal of Risk and Uncertainty, Springer, vol. 30(1), pages 21-62, January.
    5. Takao Asano, 2004. "Portfolio Inertia and [Epsilon]-Contaminations," ISER Discussion Paper 0610, Institute of Social and Economic Research, Osaka University.
    6. Zimper, Alexander, 2009. "Half empty, half full and why we can agree to disagree forever," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 283-299, August.
    7. André Lapied & Pascal Tocquebeuf, 2007. "Consistent Dynamice Choice And Non-Expected Utility Preferences," Working Papers halshs-00353880, HAL.
    8. Chambers, Robert G. & Melkonyan, Tigran, 2009. "Smoothing preference kinks with information," Mathematical Social Sciences, Elsevier, vol. 58(2), pages 173-189, September.
    9. Stephen L. Cheung, 2020. "Eliciting utility curvature in time preference," Experimental Economics, Springer;Economic Science Association, vol. 23(2), pages 493-525, June.
    10. Shalev, Jonathan, 1997. "Loss aversion in a multi-period model," Mathematical Social Sciences, Elsevier, vol. 33(3), pages 203-226, June.
    11. Berend Roorda & J. M. Schumacher & Jacob Engwerda, 2005. "Coherent Acceptability Measures In Multiperiod Models," Mathematical Finance, Wiley Blackwell, vol. 15(4), pages 589-612, October.
    12. Katsutoshi Wakai, 2013. "Intertemporal utility smoothing under uncertainty," Theory and Decision, Springer, vol. 74(2), pages 285-310, February.
    13. Ludwig, Alexander & Zimper, Alexander, 2006. "Investment behavior under ambiguity: The case of pessimistic decision makers," Mathematical Social Sciences, Elsevier, vol. 52(2), pages 111-130, September.
    14. Wang, Tan, 2003. "Conditional preferences and updating," Journal of Economic Theory, Elsevier, vol. 108(2), pages 286-321, February.
    15. Jeffery L. Guyse & L. Robin Keller & Candice H. Huynh, 2020. "Valuing Sequences of Lives Lost or Saved Over Time: Preference for Uniform Sequences," Decision Analysis, INFORMS, vol. 17(1), pages 24-38, March.
    16. Takashi Hayashi, 2011. "Context dependence and consistency in dynamic choice under uncertainty: the case of anticipated regret," Theory and Decision, Springer, vol. 70(4), pages 399-430, April.
    17. Eisei Ohtaki, 2023. "Optimality in an OLG model with nonsmooth preferences," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(3), pages 611-659, September.
    18. Lorenzo Bastianello & Jos'e Heleno Faro, 2019. "Time discounting under uncertainty," Papers 1911.00370, arXiv.org, revised Mar 2020.
    19. Giles W Story & Ivo Vlaev & Peter Dayan & Ben Seymour & Ara Darzi & Raymond J Dolan, 2015. "Anticipation and Choice Heuristics in the Dynamic Consumption of Pain Relief," PLOS Computational Biology, Public Library of Science, vol. 11(3), pages 1-32, March.
    20. David K. Backus & Bryan R. Routledge & Stanley E. Zin, 2005. "Exotic Preferences for Macroeconomists," NBER Chapters, in: NBER Macroeconomics Annual 2004, Volume 19, pages 319-414, National Bureau of Economic Research, Inc.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:47:y:2011:i:2:p:213-226. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.