IDEAS home Printed from https://ideas.repec.org/p/mea/meawpa/07154.html
   My bibliography  Save this paper

A Parsimonious Model of Subjective Life Expectancy

Author

Listed:
  • Alexander Ludwig
  • Alexander Zimper

    (Munich Center for the Economics of Aging (MEA))

Abstract

This paper develops a theoretical model for the formation of subjective beliefs on individual survival expectations. Data from the Health and Retirement Study (HRS) indicate that, on average, young respondents underestimate their true sur- vival probability whereas old respondents overestimate their survival probability. Such subjective beliefs violate the rational expectations paradigm and are also not in line with the predictions of the rational Bayesian learning paradigm. We therefore introduce a model of Bayesian learning which combines rational learn- ing with the possibility that the interpretation of new information is prone to psychological attitudes. We estimate the parameters of our theoretical model by pooling the HRS data. Despite a parsimonious parametrization we find that our model results in a remarkable fit to the average subjective beliefs expressed in the data.

Suggested Citation

  • Alexander Ludwig & Alexander Zimper, 2007. "A Parsimonious Model of Subjective Life Expectancy," MEA discussion paper series 07154, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
  • Handle: RePEc:mea:meawpa:07154
    as

    Download full text from publisher

    File URL: http://mea.mpisoc.mpg.de/uploads/user_mea_discussionpapers/0y6d0ce5r9pkv9ne_DP_154.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Wakker, Peter P, 2001. "Testing and Characterizing Properties of Nonadditive Measures through Violations of the Sure-Thing Principle," Econometrica, Econometric Society, vol. 69(4), pages 1039-1059, July.
    2. Chateauneuf, Alain & Eichberger, Jurgen & Grant, Simon, 2007. "Choice under uncertainty with the best and worst in mind: Neo-additive capacities," Journal of Economic Theory, Elsevier, vol. 137(1), pages 538-567, November.
    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. Tonks, Ian, 1983. "Bayesian Learning and the Optimal Investment Decision of the Firm," Economic Journal, Royal Economic Society, vol. 93(369a), pages 87-98, Supplemen.
    5. V. Kerry Smith & Donald H. Taylor & Frank A. Sloan, 2001. "Longevity Expectations and Death: Can People Predict Their Own Demise?," American Economic Review, American Economic Association, vol. 91(4), pages 1126-1134, September.
    6. Eichberger, Jurgen & Grant, Simon & Kelsey, David, 2007. "Updating Choquet beliefs," Journal of Mathematical Economics, Elsevier, vol. 43(7-8), pages 888-899, September.
    7. Gilboa Itzhak & Schmeidler David, 1993. "Updating Ambiguous Beliefs," Journal of Economic Theory, Elsevier, vol. 59(1), pages 33-49, February.
    8. Sarin, Rakesh & Wakker, Peter P, 1998. "Revealed Likelihood and Knightian Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 16(3), pages 223-250, July-Aug..
    9. Charles F. Manski, 2004. "Measuring Expectations," Econometrica, Econometric Society, vol. 72(5), pages 1329-1376, September.
    10. Alexander Zimper & Alexander Ludwig, 2009. "On attitude polarization under Bayesian learning with non-additive beliefs," Journal of Risk and Uncertainty, Springer, vol. 39(2), pages 181-212, October.
    11. Cesaltina Pacheco Pires, 2002. "A Rule For Updating Ambiguous Beliefs," Theory and Decision, Springer, vol. 53(2), pages 137-152, September.
    12. David E. Bloom & David Canning & Michael Moore & Younghwan Song, 2007. "The Effect of Subjective Survival Probabilities on Retirement and Wealth in the United States," Chapters, in: Robert L. Clark & Naohiro Ogawa & Andrew Mason (ed.), Population Aging, Intergenerational Transfers and the Macroeconomy, chapter 4, Edward Elgar Publishing.
    13. Michael D. Hurd & Kathleen McGarry, 1995. "Evaluation of the Subjective Probabilities of Survival in the Health and Retirement Study," Journal of Human Resources, University of Wisconsin Press, vol. 30, pages 268-292.
    14. ,, 2011. "Dynamic choice under ambiguity," Theoretical Economics, Econometric Society, vol. 6(3), September.
    15. David A. Wise, 2005. "Analyses in the Economics of Aging," NBER Books, National Bureau of Economic Research, Inc, number wise05-1, March.
    16. Eichberger, Jürgen & Grant, Simon & Kelsey, David, 2010. "Comparing three ways to update Choquet beliefs," Economics Letters, Elsevier, vol. 107(2), pages 91-94, May.
    17. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
    18. Larry G. Epstein, 1999. "A Definition of Uncertainty Aversion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 579-608.
    19. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    20. Michael D. Hurd & Daniel McFadden & Angela Merrill, 2001. "Predictors of Mortality among the Elderly," NBER Chapters, in: Themes in the Economics of Aging, pages 171-198, National Bureau of Economic Research, Inc.
    21. Li Gan & Michael D. Hurd & Daniel L. McFadden, 2005. "Individual Subjective Survival Curves," NBER Chapters, in: Analyses in the Economics of Aging, pages 377-412, National Bureau of Economic Research, Inc.
    22. Wakker,Peter P., 2010. "Prospect Theory," Cambridge Books, Cambridge University Press, number 9780521765015, January.
    23. Viscusi, W Kip, 1990. "Do Smokers Underestimate Risks?," Journal of Political Economy, University of Chicago Press, vol. 98(6), pages 1253-1269, December.
    24. V. Kerry Smith & Donald H. Taylor & Frank A. Sloan & F. Reed Johnson & William H. Desvousges, 2001. "Do Smokers Respond To Health Shocks?," The Review of Economics and Statistics, MIT Press, vol. 83(4), pages 675-687, November.
    25. George Wu & Richard Gonzalez, 1996. "Curvature of the Probability Weighting Function," Management Science, INFORMS, vol. 42(12), pages 1676-1690, December.
    26. Viscusi, W. Kip, 1985. "A Bayesian perspective on biases in risk perception," Economics Letters, Elsevier, vol. 17(1-2), pages 59-62.
    27. 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.
    28. Michael D. Hurd & Kathleen McGarry, 2002. "The Predictive Validity of Subjective Probabilities of Survival," Economic Journal, Royal Economic Society, vol. 112(482), pages 966-985, October.
    29. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    30. Viscusi, W Kip & O'Connor, Charles J, 1984. "Adaptive Responses to Chemical Labeling: Are Workers Bayesian Decision Makers?," American Economic Review, American Economic Association, vol. 74(5), pages 942-956, December.
    31. Marciano Siniscalchi, 2001. "Bayesian Updating for General Maxmin Expected Utility Preferences," Discussion Papers 1366, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    32. Viscusi, W Kip, 1991. "Age Variations in Risk Perceptions and Smoking Decisions," The Review of Economics and Statistics, MIT Press, vol. 73(4), pages 577-588, November.
    33. Jürgen Eichberger & David Kelsey, 1999. "E-Capacities and the Ellsberg Paradox," Theory and Decision, Springer, vol. 46(2), pages 107-138, April.
    34. Bleichrodt, Han & Eeckhoudt, Louis, 2006. "Survival risks, intertemporal consumption, and insurance: The case of distorted probabilities," Insurance: Mathematics and Economics, Elsevier, vol. 38(2), pages 335-346, April.
    35. Daniel McFadden & Albert Bemmaor & Francis Caro & Jeff Dominitz & Byung-Hill Jun & Arthur Lewbel & Rosa Matzkin & Francesca Molinari & Norbert Schwarz & Robert Willis & Joachim Winter, 2005. "Statistical Analysis of Choice Experiments and Surveys," Marketing Letters, Springer, vol. 16(3), pages 183-196, December.
    36. Carter, Lawrence R. & Lee, Ronald D., 1992. "Modeling and forecasting US sex differentials in mortality," International Journal of Forecasting, Elsevier, vol. 8(3), pages 393-411, November.
    37. Ahmed Khwaja & Frank Sloan & Sukyung Chung, 2007. "The relationship between individual expectations and behaviors: Mortality expectations and smoking decisions," Journal of Risk and Uncertainty, Springer, vol. 35(2), pages 179-201, October.
    Full references (including those not matched with items on IDEAS)

    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. Alexander Zimper, 2011. "Do Bayesians Learn Their Way Out of Ambiguity?," Decision Analysis, INFORMS, vol. 8(4), pages 269-285, December.
    2. Groneck, Max & Ludwig, Alexander & Zimper, Alexander, 2016. "A life-cycle model with ambiguous survival beliefs," Journal of Economic Theory, Elsevier, vol. 162(C), pages 137-180.
    3. Alexander Ludwig & Alexander Zimper, 2013. "A decision-theoretic model of asset-price underreaction and overreaction to dividend news," Annals of Finance, Springer, vol. 9(4), pages 625-665, November.
    4. Alexander Zimper & Alexander Ludwig, 2009. "On attitude polarization under Bayesian learning with non-additive beliefs," Journal of Risk and Uncertainty, Springer, vol. 39(2), pages 181-212, October.
    5. 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.
    6. Zimper, Alexander, 2012. "Asset pricing in a Lucas fruit-tree economy with the best and worst in mind," Journal of Economic Dynamics and Control, Elsevier, vol. 36(4), pages 610-628.
    7. Ludwig, Alexander & Zimper, Alexander, 2014. "Biased Bayesian learning with an application to the risk-free rate puzzle," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 79-97.
    8. Nils Grevenbrock & Max Groneck & Alexander Ludwig & Alexander Zimper, 2021. "Cognition, Optimism, And The Formation Of Age‐Dependent Survival Beliefs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(2), pages 887-918, May.
    9. Ludwig, Alexander & Zimper, Alexander, 2007. "Attitude polarization," Papers 07-66, Sonderforschungsbreich 504.
    10. Alexander Zimper, 2008. "Asset pricing in a Lucas ‘fruit-tree’ economy with non-additive beliefs," Working Papers 092, Economic Research Southern Africa.
    11. Alexander Zimper, 2011. "Re-examining the law of iterated expectations for Choquet decision makers," Theory and Decision, Springer, vol. 71(4), pages 669-677, October.
    12. repec:mea:meawpa:13270 is not listed on IDEAS
    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. Nicky Nicholls & Aylit Romm & Alexander Zimper, 2015. "The impact of statistical learning on violations of the sure-thing principle," Journal of Risk and Uncertainty, Springer, vol. 50(2), pages 97-115, April.
    15. Aurélien Baillon & Han Bleichrodt & Umut Keskin & Olivier l’Haridon & Chen Li, 2018. "The Effect of Learning on Ambiguity Attitudes," Management Science, INFORMS, vol. 64(5), pages 2181-2198, May.
    16. Dominiak, Adam & Eichberger, Jürgen & Lefort, Jean-Philippe, 2012. "Agreeable trade with optimism and pessimism," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 119-126.
    17. Groneck, Max & Ludwig, Alexander & Zimper, Alexander, 2013. "Ambiguous Survival Beliefs and Hyperbolic Discounting in a Life-Cycle Model," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79878, Verein für Socialpolitik / German Economic Association.
    18. Alexander Zimper, 2012. "The emergence of “fifty-fifty” probability judgements in a conditional Savage world," Working Papers 291, Economic Research Southern Africa.
    19. Eichberger, Jürgen & Grant, Simon & Lefort, Jean-Philippe, 2008. "Neo-additive capacities and updating," Sonderforschungsbereich 504 Publications 08-31, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    20. Khwaja, Ahmed & Silverman, Dan & Sloan, Frank & Wang, Yang, 2009. "Are mature smokers misinformed?," Journal of Health Economics, Elsevier, vol. 28(2), pages 385-397, March.
    21. Grevenbrock, Nils & Groneck, Max & Ludwig, Alexander & Zimper, Alexander, 2015. "Biased Survival Beliefs, Psychological and Cognitive Explanations, and the Demand for Life Insurances," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113203, Verein für Socialpolitik / German Economic Association.

    More about this item

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • I10 - Health, Education, and Welfare - - Health - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:mea:meawpa:07154. 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: Henning Frankenberger (email available below). General contact details of provider: http://www.mea.mpisoc.mpg.de/ .

    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.