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A parsimonious model of subjective life expectancy

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  • Ludwig, Alexander
  • Zimper, Alexander

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 survival 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 learning 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

  • Ludwig, Alexander & Zimper, Alexander, 2007. "A parsimonious model of subjective life expectancy," Papers 07-65, Sonderforschungsbreich 504.
    • Handle: RePEc:mnh:spaper:2503
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    File URL: https://madoc.bib.uni-mannheim.de/2503/1/dp07_65.pdf
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    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.
    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, September.
    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.
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    More about this item

    Keywords

    subjective survival expectations ; ambiguity ; Bayesian learning;
    All these keywords.

    JEL classification:

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

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