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Rational Addiction and Time Consistency: An Empirical Test

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  • Piccoli, Luca

    (University of Trento)

  • Tiezzi, Silvia

    (University of Siena)

Abstract

This paper deals with one of the main empirical problems associated with the rational addiction theory, namely that its derived demand equation is not empirically distinguishable from models with forward looking behavior, but with time inconsistent preferences. The implication is that, even when forward looking behavior is supported by data, the standard rational addiction equation cannot distinguish between time consistency and inconsistency in preferences. We show that an encompassing general specification of the rational addiction model embeds the possibility of testing for time consistent versus time inconsistent naïve agents. We use a panel of Russian individuals to estimate a rational addiction equation for tobacco with time inconsistent preferences, where GMM estimators deal with errors in variables and unobserved heterogeneity. The results conform to the theoretical predictions and the proposed test for time consistency does not reject the hypothesis that Russian cigarettes consumers discount future utility exponentially. We further show that the proposed empirical specification of the Euler equation, whilst being indistinguishable from the general empirical specification of the rational addiction model, it allows to identify more structural parameters, such as an upper-bound for the parameter capturing present bias in time preferences.

Suggested Citation

  • Piccoli, Luca & Tiezzi, Silvia, 2020. "Rational Addiction and Time Consistency: An Empirical Test," IZA Discussion Papers 12906, Institute of Labor Economics (IZA).
  • Handle: RePEc:iza:izadps:dp12906
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    1. Laporte, Audrey & Dass, Adrian Rohit & Ferguson, Brian S., 2017. "Is the Rational Addiction model inherently impossible to estimate?," Journal of Health Economics, Elsevier, vol. 54(C), pages 161-175.
    2. R. A. Pollak, 1968. "Consistent Planning," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(2), pages 201-208.
    3. Liu, Jin-Long & Liu, Jin-Tan & Hammitt, James K. & Chou, Shin-Yi, 1999. "The price elasticity of opium in Taiwan, 1914-1942," Journal of Health Economics, Elsevier, vol. 18(6), pages 795-810, December.
    4. Matthew Rabin & Ted O'Donoghue, 1999. "Doing It Now or Later," American Economic Review, American Economic Association, vol. 89(1), pages 103-124, March.
    5. David Laibson & Andrea Repetto & Jeremy Tobacman, 2005. "Estimating Discount Functions with Consumption Choices over the Lifecycle," Levine's Bibliography 784828000000000643, UCLA Department of Economics.
    6. O’Donoghue, Ted & Rabin, Matthew, 2002. "Addiction and Present-Biased Preferences," Department of Economics, Working Paper Series qt3v86x53j, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    7. Hanming Fang & Dan Silverman, 2009. "Time-Inconsistency And Welfare Program Participation: Evidence From The Nlsy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(4), pages 1043-1077, November.
    8. Stefano DellaVigna, 2009. "Psychology and Economics: Evidence from the Field," Journal of Economic Literature, American Economic Association, vol. 47(2), pages 315-372, June.
    9. Badi H. Baltagi & Ingo Geishecker, 2006. "Rational alcohol addiction: evidence from the Russian longitudinal monitoring survey," Health Economics, John Wiley & Sons, Ltd., vol. 15(9), pages 893-914, September.
    10. Jonathan Gruber & Botond Köszegi, 2001. "Is Addiction "Rational"? Theory and Evidence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(4), pages 1261-1303.
    11. Grossman, Michael & Chaloupka, Frank J., 1998. "The demand for cocaine by young adults: a rational addiction approach," Journal of Health Economics, Elsevier, vol. 17(4), pages 427-474, August.
    12. David Roodman, 2009. "A Note on the Theme of Too Many Instruments," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 71(1), pages 135-158, February.
    13. Boyer, Marcel, 1983. "Rational demand and expenditures patterns under habit formation," Journal of Economic Theory, Elsevier, vol. 31(1), pages 27-53, October.
    14. Baltagi, Badi H & Griffin, James M, 2001. "The Econometrics of Rational Addiction: The Case of Cigarettes," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(4), pages 449-454, October.
    15. Stefano DellaVigna & M. Daniele Paserman, 2005. "Job Search and Impatience," Journal of Labor Economics, University of Chicago Press, vol. 23(3), pages 527-588, July.
    16. Boyer, Marcel, 1978. "A Habit Forming Optimal Growth Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(3), pages 585-609, October.
    17. Labeaga, Jose M., 1999. "A double-hurdle rational addiction model with heterogeneity: Estimating the demand for tobacco," Journal of Econometrics, Elsevier, vol. 93(1), pages 49-72, November.
    18. M. Daniele Paserman, 2008. "Job Search and Hyperbolic Discounting: Structural Estimation and Policy Evaluation," Economic Journal, Royal Economic Society, vol. 118(531), pages 1418-1452, August.
    19. Stephen Bond, 2002. "Dynamic panel data models: a guide to microdata methods and practice," CeMMAP working papers CWP09/02, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    20. David Roodman, 2009. "How to do xtabond2: An introduction to difference and system GMM in Stata," Stata Journal, StataCorp LP, vol. 9(1), pages 86-136, March.
    21. Christopher J. Gerry & Georgios Papadopoulos, 2015. "Sample attrition in the RLMS, 2001–10," The Economics of Transition, The European Bank for Reconstruction and Development, vol. 23(2), pages 425-468, April.
    22. Jonathan Gruber & Botond Koszegi, 2002. "A Theory of Government Regulation of Addictive Bads: Optimal Tax Levels and Tax Incidence for Cigarette Excise Taxation," NBER Working Papers 8777, National Bureau of Economic Research, Inc.
    23. Dan Acland & Matthew R. Levy, 2015. "Naiveté, Projection Bias, and Habit Formation in Gym Attendance," Management Science, INFORMS, vol. 61(1), pages 146-160, January.
    24. Andrew M. Jones & José M. Labeaga, 2003. "Individual heterogeneity and censoring in panel data estimates of tobacco expenditure," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(2), pages 157-177.
    25. Acland, Dan & Levy, Matthew R., 2015. "Naiveté, projection bias, and habit formation in gym attendance," LSE Research Online Documents on Economics 66147, London School of Economics and Political Science, LSE Library.
    26. Chaloupka, Frank, 1991. "Rational Addictive Behavior and Cigarette Smoking," Journal of Political Economy, University of Chicago Press, vol. 99(4), pages 722-742, August.
    27. Becker, Gary S & Grossman, Michael & Murphy, Kevin M, 1994. "An Empirical Analysis of Cigarette Addiction," American Economic Review, American Economic Association, vol. 84(3), pages 396-418, June.
    28. Shapiro, Jesse M., 2005. "Is there a daily discount rate? Evidence from the food stamp nutrition cycle," Journal of Public Economics, Elsevier, vol. 89(2-3), pages 303-325, February.
    29. Biorn, Erik & Klette, Tor Jakob, 1998. "Panel data with errors-in-variables: essential and redundant orthogonality conditions in GMM-estimation," Economics Letters, Elsevier, vol. 59(3), pages 275-282, June.
    30. George-Marios Angeletos, 2001. "The Hyberbolic Consumption Model: Calibration, Simulation, and Empirical Evaluation," Journal of Economic Perspectives, American Economic Association, vol. 15(3), pages 47-68, Summer.
    31. Gruber, Jonathan & Koszegi, Botond, 2004. "Tax incidence when individuals are time-inconsistent: the case of cigarette excise taxes," Journal of Public Economics, Elsevier, vol. 88(9-10), pages 1959-1987, August.
    32. Saffer, Henry & Chaloupka, Frank, 1999. "The Demand for Illicit Drugs," Economic Inquiry, Western Economic Association International, vol. 37(3), pages 401-411, July.
    33. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 443-478.
    34. Stefano DellaVigna & Ulrike Malmendier, 2006. "Paying Not to Go to the Gym," American Economic Review, American Economic Association, vol. 96(3), pages 694-719, June.
    35. Arellano, Manuel & Bover, Olympia, 1995. "Another look at the instrumental variable estimation of error-components models," Journal of Econometrics, Elsevier, vol. 68(1), pages 29-51, July.
    36. Maurice J.G. Bun & Frank Kleibergen, 2013. "Identification and inference in moments based analysis of linear dynamic panel data models," UvA-Econometrics Working Papers 13-07, Universiteit van Amsterdam, Dept. of Econometrics.
    37. Jose M. Labeaga, 1993. "Individual behaviour and tobacco consumption: A panel data approach," Health Economics, John Wiley & Sons, Ltd., vol. 2(2), pages 103-112, July.
    38. Grossman, Michael & Chaloupka, Frank J & Sirtalan, Ismail, 1998. "An Empirical Analysis of Alcohol Addiction: Results from the Monitoring the Future Panels," Economic Inquiry, Western Economic Association International, vol. 36(1), pages 39-48, January.
    39. Stephen R. Bond, 2002. "Dynamic panel data models: a guide to micro data methods and practice," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 1(2), pages 141-162, August.
    40. Diamond, Peter & Koszegi, Botond, 2003. "Quasi-hyperbolic discounting and retirement," Journal of Public Economics, Elsevier, vol. 87(9-10), pages 1839-1872, September.
    41. Blundell, Richard & Bond, Stephen, 1998. "Initial conditions and moment restrictions in dynamic panel data models," Journal of Econometrics, Elsevier, vol. 87(1), pages 115-143, August.
    42. Frank J. Chaloupka IV & Matthew R. Levy & Justin S. White, 2019. "Estimating Biases in Smoking Cessation: Evidence from a Field Experiment," NBER Working Papers 26522, National Bureau of Economic Research, Inc.
    43. Maurice J.G. Bun & Sarafidis, V., 2013. "Dynamic Panel Data Models," UvA-Econometrics Working Papers 13-01, Universiteit van Amsterdam, Dept. of Econometrics.
    44. Henry Saffer & Frank J. Chaloupka, 1999. "Demographic Differentials in the Demand for Alcohol and Illicit Drugs," NBER Chapters, in: The Economic Analysis of Substance Use and Abuse: An Integration of Econometric and Behavioral Economic Research, pages 187-212, National Bureau of Economic Research, Inc.
    45. Olekalns, Nilss & Bardsley, Peter, 1996. "Rational Addiction to Caffeine: An Analysis of Coffee Consumption," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 1100-1104, October.
    46. Yoram Halevy, 2015. "Time Consistency: Stationarity and Time Invariance," Econometrica, Econometric Society, vol. 83, pages 335-352, January.
    47. Becker, Gary S & Murphy, Kevin M, 1988. "A Theory of Rational Addiction," Journal of Political Economy, University of Chicago Press, vol. 96(4), pages 675-700, August.
    48. Robert J. Barro, 1999. "Ramsey Meets Laibson in the Neoclassical Growth Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(4), pages 1125-1152.
    49. Manuel Arellano & Stephen Bond, 1991. "Some Tests of Specification for Panel Data: Monte Carlo Evidence and an Application to Employment Equations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 277-297.
    50. Windmeijer, Frank, 2005. "A finite sample correction for the variance of linear efficient two-step GMM estimators," Journal of Econometrics, Elsevier, vol. 126(1), pages 25-51, May.
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    Cited by:

    1. Piccoli, Luca & Tiezzi, Silvia, 2023. "Eggs When Young, Chicken When Old. Time Consistency and Addiction over the Life Cycle," IZA Discussion Papers 16372, Institute of Labor Economics (IZA).
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    More about this item

    Keywords

    time consistency; general versus standard specification; rational addiction; naïveté; GMM;
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis

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