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Dynamic decisions under subjective expectations: A structural analysis

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  • An, Yonghong
  • Hu, Yingyao
  • Xiao, Ruli

Abstract

We study dynamic discrete choice models without assuming rational expectations. Agents’ beliefs about state transitions are subjective, unknown, and may differ from their objective counterparts. We show that agents’ preferences and subjective beliefs are identified in both finite and infinite horizon models. We estimate the model primitives via maximum likelihood estimation and demonstrate the good performance of the estimator by Monte Carlo experiments. Using the Panel Study of Income Dynamics (PSID) data, we illustrate our method in an analysis of women’s labor participation. We find that workers do not hold rational expectations about income transitions.

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  • An, Yonghong & Hu, Yingyao & Xiao, Ruli, 2021. "Dynamic decisions under subjective expectations: A structural analysis," Journal of Econometrics, Elsevier, vol. 222(1), pages 645-675.
    • Handle: RePEc:eee:econom:v:222:y:2021:i:1:p:645-675
    DOI: 10.1016/j.jeconom.2020.04.046
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    1. Rust, John, 1987. "Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher," Econometrica, Econometric Society, vol. 55(5), pages 999-1033, September.
    2. Richard Blundell & Monica Costa Dias & Costas Meghir & Jonathan Shaw, 2016. "Female Labor Supply, Human Capital, and Welfare Reform," Econometrica, Econometric Society, vol. 84, pages 1705-1753, September.
    3. Rawley Z. Heimer & Kristian Ove R. Myrseth & Raphael S. Schoenle, 2019. "YOLO: Mortality Beliefs and Household Finance Puzzles," Journal of Finance, American Finance Association, vol. 74(6), pages 2957-2996, December.
    4. Victor Aguirregabiria & Arvind Magesan, 2020. "Identification and Estimation of Dynamic Games When Players’ Beliefs Are Not in Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 87(2), pages 582-625.
    5. Victor Aguirregabiria & Pedro Mira, 2002. "Swapping the Nested Fixed Point Algorithm: A Class of Estimators for Discrete Markov Decision Models," Econometrica, Econometric Society, vol. 70(4), pages 1519-1543, July.
    6. Thierry Magnac & David Thesmar, 2002. "Identifying Dynamic Discrete Decision Processes," Econometrica, Econometric Society, vol. 70(2), pages 801-816, March.
    7. Wilbert van der Klaauw, 2012. "On the Use of Expectations Data in Estimating Structural Dynamic Choice Models," Journal of Labor Economics, University of Chicago Press, vol. 30(3), pages 521-554.
    8. V. Joseph Hotz & Robert A. Miller, 1993. "Conditional Choice Probabilities and the Estimation of Dynamic Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 497-529.
    9. Aguirregabiria, Victor & Mira, Pedro, 2010. "Dynamic discrete choice structural models: A survey," Journal of Econometrics, Elsevier, vol. 156(1), pages 38-67, May.
    10. Hu, Yingyao & Shum, Matthew, 2012. "Nonparametric identification of dynamic models with unobserved state variables," Journal of Econometrics, Elsevier, vol. 171(1), pages 32-44.
    11. Alexander Coutts, 2019. "Good news and bad news are still news: experimental evidence on belief updating," Experimental Economics, Springer;Economic Science Association, vol. 22(2), pages 369-395, June.
    12. Charles F. Manski, 2004. "Measuring Expectations," Econometrica, Econometric Society, vol. 72(5), pages 1329-1376, September.
    13. Jaap H. Abbring & Øystein Daljord, 2020. "Identifying the discount factor in dynamic discrete choice models," Quantitative Economics, Econometric Society, vol. 11(2), pages 471-501, May.
    14. Zvi Eckstein & Kenneth I. Wolpin, 1989. "Dynamic Labour Force Participation of Married Women and Endogenous Work Experience," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(3), pages 375-390.
    15. Charles F. Manski, 1993. "Adolescent Econometricians: How Do Youth Infer the Returns to Schooling?," NBER Chapters, in: Studies of Supply and Demand in Higher Education, pages 43-60, National Bureau of Economic Research, Inc.
    16. An, Yonghong & Hu, Yingyao & Shum, Matthew, 2010. "Estimating first-price auctions with an unknown number of bidders: A misclassification approach," Journal of Econometrics, Elsevier, vol. 157(2), pages 328-341, August.
    17. Basit Zafar, 2011. "How Do College Students Form Expectations?," Journal of Labor Economics, University of Chicago Press, vol. 29(2), pages 301-348.
    18. Peter Arcidiacono & Robert A. Miller, 2011. "Conditional Choice Probability Estimation of Dynamic Discrete Choice Models With Unobserved Heterogeneity," Econometrica, Econometric Society, vol. 79(6), pages 1823-1867, November.
    19. Cruces, Guillermo & Perez-Truglia, Ricardo & Tetaz, Martin, 2013. "Biased perceptions of income distribution and preferences for redistribution: Evidence from a survey experiment," Journal of Public Economics, Elsevier, vol. 98(C), pages 100-112.
    20. Jaap H. Abbring, 2010. "Identification of Dynamic Discrete Choice Models," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 367-394, September.
    21. D'Haultfoeuille, Xavier & Gaillac, Christophe & Maurel, Arnaud, 2018. "Rationalizing Rational Expectations? Tests and Deviations," IZA Discussion Papers 11989, Institute of Labor Economics (IZA).
    22. Hu, Yingyao, 2008. "Identification and estimation of nonlinear models with misclassification error using instrumental variables: A general solution," Journal of Econometrics, Elsevier, vol. 144(1), pages 27-61, May.
    23. An, Yonghong, 2017. "Identification of first-price auctions with non-equilibrium beliefs: A measurement error approach," Journal of Econometrics, Elsevier, vol. 200(2), pages 326-343.
    24. Basit Zafar, 2013. "College Major Choice and the Gender Gap," Journal of Human Resources, University of Wisconsin Press, vol. 48(3), pages 545-595.
    25. Patrick Bajari & Chenghuan Sean Chu & Denis Nekipelov & Minjung Park, 2016. "Identification and semiparametric estimation of a finite horizon dynamic discrete choice model with a terminating action," Quantitative Marketing and Economics (QME), Springer, vol. 14(4), pages 271-323, December.
    26. van der Klaauw, Wilbert & Wolpin, Kenneth I., 2008. "Social security and the retirement and savings behavior of low-income households," Journal of Econometrics, Elsevier, vol. 145(1-2), pages 21-42, July.
    27. Yang Wang, 2014. "Dynamic Implications of Subjective Expectations: Evidence from Adult Smokers," American Economic Journal: Applied Economics, American Economic Association, vol. 6(1), pages 1-37, January.
    28. Peter Arcidiacono & Paul B. Ellickson, 2011. "Practical Methods for Estimation of Dynamic Discrete Choice Models," Annual Review of Economics, Annual Reviews, vol. 3(1), pages 363-394, September.
    29. Manski, Charles F., 1993. "Dynamic choice in social settings : Learning from the experiences of others," Journal of Econometrics, Elsevier, vol. 58(1-2), pages 121-136, July.
    30. Hiroyuki Kasahara & Katsumi Shimotsu, 2009. "Nonparametric Identification of Finite Mixture Models of Dynamic Discrete Choices," Econometrica, Econometric Society, vol. 77(1), pages 135-175, January.
    31. Kasahara, Hiroyuki & Shimotsu, Katsumi, 2008. "Pseudo-likelihood estimation and bootstrap inference for structural discrete Markov decision models," Journal of Econometrics, Elsevier, vol. 146(1), pages 92-106, September.
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    Cited by:

    1. Victor Aguirregabiria, 2021. "Identification of firms’ beliefs in structural models of market competition," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 54(1), pages 5-33, February.
    2. Victor Aguirregabiria & Jihye Jeon, 2020. "Firms’ Beliefs and Learning: Models, Identification, and Empirical Evidence," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 56(2), pages 203-235, March.
    3. Taiga Tsubota, 2021. "Identifying Dynamic Discrete Choice Models with Hyperbolic Discounting," Papers 2111.10721, arXiv.org, revised Oct 2024.
    4. Pamela Giustinelli, 2022. "Expectations in Education: Framework, Elicitation, and Evidence," Working Papers 2022-026, Human Capital and Economic Opportunity Working Group.
    5. Victor Aguirregabiria & Allan Collard-Wexler & Stephen P. Ryan, 2021. "Dynamic Games in Empirical Industrial Organization," NBER Working Papers 29291, National Bureau of Economic Research, Inc.
    6. Yingyao Hu & Yi Xin, 2019. "Identi?cation and estimation of dynamic structural models with unobserved choices," CeMMAP working papers CWP35/19, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    7. Chao Wang & Stefan Weiergraeber & Ruli Xiao, 2022. "Identification of Dynamic Discrete Choice Models with Hyperbolic Discounting Using a Terminating Action," CAEPR Working Papers 2022-010 Classification-C, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    8. D. Nishijima & M. Oguchi, 2024. "Comparing Product Lifetime Extensions by Enhancing Consumers’ Expected Product Lifetime Among Different Durable Products," Journal of Consumer Policy, Springer, vol. 47(2), pages 223-239, June.

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    More about this item

    Keywords

    Dynamic discrete choice models; Subjective beliefs; Rational expectations; Nonparametric identification; Estimation;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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