×

Estimating dynamic discrete choice models with hyperbolic discounting, with an application to mammography decisions. (English) Zbl 1404.91070

Summary: We extend the semiparametric estimation method for dynamic discrete choice models using V. J. Hotz and R. A. Miller’s [Rev. Econ. Stud. 60, No. 3, 497–529 (1993; Zbl 0788.90007)] conditional choice probability approach to the setting where individuals may have hyperbolic discounting time preferences and may be naive about their time inconsistency. We illustrate the proposed identification and estimation method with an empirical application of adult women’s decisions to undertake mammography to evaluate the importance of present bias and naivety in the underutilization of this preventive health care. Our results show evidence for both present bias and naivety.

MSC:

91B06 Decision theory
91B08 Individual preferences
92C50 Medical applications (general)
62G05 Nonparametric estimation
62P25 Applications of statistics to social sciences

Citations:

Zbl 0788.90007

References:

[1] Aguirregabiria, V., “Pseudo Maximum Likelihood Estimation of Structural Models Involving Fixed‐Point Problems,” Economics Letters84 (2004), 335-40. · Zbl 1255.62335
[2] Aguirregabiria, V., and P.Mira, “Swapping the Nested Fixed Point Algorithm: A Class of Estimators for Discrete Markov Decision Models,” Econometrica70 (2002), 1519-43. · Zbl 1141.91632
[3] Aguirregabiria, V., and P.Mira, “Sequential Estimation of Dynamic Discrete Games,” Econometrica75 (2007), 1-53. · Zbl 1201.91012
[4] Aguirregabiria, V., and P.Mira, “Dynamic Discrete Choice Structural Models: A Survey,” Journal of Econometrics156(1) (2010), 38-67. · Zbl 1431.62575
[5] Ainslie, G., Picoeconomics: The Strategic Interaction of Successive Motivational States Within the Person (Cambridge, U.K.: Cambridge University Press, 1992).
[6] Andrews, D. W. K., “Estimation When a Parameter Is on a Boundary,” Econometrica67(6) (1999) 1341-83. · Zbl 1056.62507
[7] Andrews, D. W. K., “Testing When a Parameter Is on the Boundary of the Maintained Hypothesis,” Econometrica69(3) (2001), 683-734. · Zbl 0999.62010
[8] Arcidiacono, P., and R.Miller, “Conditional Choice Probability Estimation of Dynamic Discrete Choice Models with Unobserved Heterogeneity,” Econometrica79(6) (2011), 1823-68. · Zbl 1275.91104
[9] Ayanian, J. Z., B. A.Kohler, T.Abe, and A. M.Esptein, “The Relation between Health Insurance Coverage and Clinical Outcomes among Women with Breast Cancer,” The New England Journal of Medicine329(5) (1993), 326-31.
[10] Bajari, P., C. L.Benkard, and J.Levin, “Estimating Dynamic Models of Imperfect Competition,” Econometrica75(5) (2007), 1331-70. · Zbl 1133.91008
[11] Bajari, P., H.Hong, and D.Nekipelov, “Game Theory and Econometrics: A Survey of Some Recent Research,” in D.Acemoglu (ed.), M.Arellano (ed.), and E.Dekel (ed.), eds., Advances in Economics and Econometrics: Tenth World Congress (Volume III, Econometrics) (Cambridge, U.K.: Cambridge University Press, 2013), 3-52.
[12] Barro, R. J., “Ramsey Meets Laibson in the Neoclassical Growth Model,” Quarterly Journal of Economics114 (1999), 1125-52. · Zbl 0940.91056
[13] Carrillo, J. D., and T.Mariotti, “Strategic Ignorance as a Self‐Disciplining Device,” Review of Economic Studies67 (July 2000), 529-44. · Zbl 1055.91508
[14] Chung, D., T. J.Steenburgh, and K.Sudhir, “Do Bonuses Enhance Sales Productivity? A Dynamic Structural Analysis of Bonus‐Based Compensation Plans,” Mimeo, Yale School of Management, 2009.
[15] Decker, S. L., “Medicare and the Health of Women with Breast Cancer,” Journal of Human Resources40(4) (2005), 948-68.
[16] Degnan, D., R.Harris, J.Ranney, D.Quade, J. A.Earp, and J.Gonzalez, “Measuring the Use of Mammography: Two Methods Compared,” American Journal of Public Health82(10) (1992), 1386-88.
[17] DellaVigna, S., and Malmendier, U., “Contract Design and Self‐Control: Theory and Evidence,” Quarterly Journal of Economics119(2) (2004), 353-402. · Zbl 1090.91059
[18] DellaVigna, S., and Malmendier, U., “Paying Not to Go to the Gym,” American Economic Review96(3) (2006), 694-719.
[19] DellaVigna, S., and D.Paserman, “Job Search and Impatience,” Journal of Labor Economics23(3) (July 2005), 527-88.
[20] Fang, H., and D.Silverman, “On the Compassion of Time‐Limited Welfare Programs,” Journal of Public Economics88 (2004), 1445-70.
[21] Fang, H., and D.Silverman, “Distinguishing between Cognitive Biases: Belief vs. Time Discounting in Welfare Program Participation,” in E. J.McCaffery (ed.) and J.Slemrod (ed.), eds., Behavioral Public Finance (New York: Russell Sage Foundation, 2006), 47-81.
[22] Fang, H., and D.Silverman, “Time‐inconsistency and Welfare Program Participation. Evidence from the NLSY,” International Economic Review50(4) (2009), 1043-76.
[23] Giné, X., J.Goldberg, D.Silverman, and D.Yang, “Revising Commitments: Time Preference and Time‐Inconsistency in the Field,” Mimeo, University of Michigan, 2011.
[24] Giné, X., Karlan, D., and J.Zinman, “Put Your Money Where Your Butt Is: A Commitment Contract for Smoking Cessation,” American Economic Journal: Applied Economics2(4) (2010), 213-35.
[25] Gruber, J., and B.Koszegi, “Is Addiction “Rational”? Theory and Evidence,” Quarterly Journal of Economics116(4) (2001), 935-58.
[26] Hausman, J. A., “Individual Discount Rates and the Purchase and Utilization of Energy‐using Durables,” Bell Journal of Economics10(1) (1979), 33-54.
[27] Hayashi, F., Econometrics (Princeton: Princeton University Press, 2000). · Zbl 0994.62107
[28] Hotz, J., and R.Miller, “Conditional Choice Probabilities and Estimation of Dynamic Models,” Review of Economic Studies60 (1993), 497-529. · Zbl 0788.90007
[29] Hu, Y., and M.Shum, “Nonparametric Identification of Dynamic Models with Unobserved State Variables,” Journal of Econometrics171(1) (November 2012), 32-44. · Zbl 1443.62469
[30] Juster, F. T., and R.Suzman, “An Overview of the Health and Retirement Study,” Journal of Human Resources30(5) (1995), S7-S56.
[31] Kasahara, H., and K.Shimotsu, “Nonparametric Identification of Finite Mixture Models of Dynamic Discrete Choices,” Econometrica77(1) (2009), 135-75. · Zbl 1160.91323
[32] Krusell, P., and Smith, A., “Consumption‐Saving Decisions with Quasi‐Geometric Discounting,” Econometrica71(1) (2003), 365-75. · Zbl 1184.91124
[33] Krusell, P., B.Kuruşçu, and A.Smith, “Equilibrium Welfare and Government Policy with Quasi‐Geometric Discounting,” Journal of Economic Theory105 (July 2002), 42-72. · Zbl 1015.91040
[34] Laibson, D., “Golden Eggs and Hyperbolic Discounting,” Quarterly Journal of Economics112(2) (1997), 443-77. · Zbl 0882.90024
[35] Laibson, D., A.Repetto, and J.Tobacman, “Estimating Discount Functions with Consumption Choices over the Lifecycle,” Mimeo, Harvard University, 2007.
[36] Loewenstein, G., and J.Elster, Choice over Time (New York: Russell Sage Foundation, 1992).
[37] Magnac, T., and D.Thesmar, “Identifying Dynamic Discrete Decision Processes,” Econometrica20(2) (2002), 801-16. · Zbl 1121.91333
[38] Mahajan, A., and A.Tarozzi, “Time Inconsistency, Expectations and Technology Adoption: The Case of Insecticide Treated Nets,” Mimeo, Stanford and Duke University, 2011.
[39] Mas‐Colell, A., The Theory of General Equilibrium: A Differentiable Approach (Cambridge: Cambridge University Press, 1985).
[40] Miller, R., “Job Matching and Occupational Choice,” Journal of Political Economy92(6) (1984), 1086-120.
[41] Moran, P. A. P., “Maximum‐Likelihood Estimation in Non‐Standard Conditions,” Proceedings of the Cambridge Philosophical Society70 (1971), 441-50. · Zbl 0224.62013
[42] Norets, A., and X.Tang, “Semiparametric Inference in Dynamic Binary Choice Process,” Review of Economic Studies81 (2014), 1229-62. · Zbl 1405.91125
[43] O’Donoghue, T., and M.Rabin, “Doing It Now or Later,” American Economic Review89(1) (1999a), 103-24.
[44] O’Donoghue, T., and M.Rabin, “Addiction and Self‐Control,” in J.Elster (ed.), ed., Addiction: Entries and Exits (New York: Russell Sage Foundation, 1999b), 169-206.
[45] Pakes, A., “Patents as Options. Some Estimates of the Value of Holding European Patent Stocks,” Econometrica54 (1986), 755-85. · Zbl 0601.90032
[46] Pakes, A., and P.McGuire, “Computing Markov Perfect Nash Equilibrium: Numerical Implications of a Dynamic Differentiated Product Model,” RAND Journal of Economics25(4) (1994), 555-89.
[47] Pakes, A., M.Ostrovsky, and S.Berry, “Simple Estimators for the Parameters of Discrete Dynamic Games (with Entry/Exit Samples),” RAND Journal of Economics38(2) (2007), 373-99.
[48] Paserman, M. D., “Job Search and Hyperbolic Discounting: Structural Estimation and Policy Evaluation,” Economic Journal118(531) (2008), 1418-52.
[49] Peeters, R., “Stochastic Games with Hyperbolic Discounting,” Mimeo, Maastricht University, 2004.
[50] Pesendorfer, M., and P.Schmidt‐Dengler, “Asymptotic Least Squares Estimators for Dynamic Games,” Review of Economic Studies75(3) (2008), 901-28. · Zbl 1141.91333
[51] Phelps, E. S., and R. A.Pollak, “On Second‐Best National Saving and Game‐Equilibrium Growth,” Review of Economic Studies35(2) (1968), 185-99.
[52] Rust, J., “Optimal Replacement of GMC Bus Engines. An Empirical Model of Harold Zurcher,” Econometrica55(5) (1987), 999-1033. · Zbl 0624.90034
[53] Rust, J., “Estimation of Dynamic Structural Models, Problems and Prospects: Discrete Decision Processes,” in C.Sims and J. J.Laffont (ed.), eds., Proceedings of the 6th World Congress of the Econometric Society (Cambridge: Cambridge University Press, 1994a), 119-70.
[54] Rust, J., “Structural Estimation of Markov Decision Processes,” in R.Engle and D.McFadden, eds., Handbook of Econometrics, Vol. IV (Amsterdam: North‐Holland, 1994b), 3082-139.
[55] Schrimpf, P., “Identification and Estimation of Dynamic Games with Continuous States and Controls,” Mimeo, University of British Columbia, 2011.
[56] Strotz, R. H., “Myopia and Inconsistency in Dynamic Utility Maximization,” Review of Economic Studies23(3) (1956), 165-80.
[57] Warner, J. T., and S.Pleeter, “The Personal Discount Rate: Evidence from Military Downsizing Programs,” American Economic Review91(1) (2001), 33-53.
[58] Wolpin, K. I., “An Estimable Dynamic Stochastic Model of Fertility and Child Mortality,” Journal of Political Economy92 (1984), 852-74.
[59] Wooldridge, J. M., Econometric Analysis of Cross Section and Panel Data (Cambridge: MIT Press, 2002). · Zbl 1441.62010
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.