IDEAS home Printed from https://ideas.repec.org/a/eee/jhecon/v77y2021ics0167629621000370.html
   My bibliography  Save this article

Resolving the milk addiction paradox

Author

Listed:
  • Dragone, Davide
  • Raggi, Davide

Abstract

The milk addiction paradox refers to an empirical finding in which consumption of non-addictive commodities such as milk appears to be consistent with the theory of rational addiction. This paradoxical result seems more likely when consumption is persistent and with aggregate data. Using both simulated and real data, we show that the milk addiction paradox disappears when estimating the data using an AR(1) linear specification that describes the saddle-path solution of the rational addiction model, instead of the canonical AR(2) model. The AR(1) specification is able to correctly discriminate between rational addiction and simple persistence in the data, to test for the main features of rational addiction, and to produce unbiased estimates of the short and long-run elasticity of demand. These results hold both with individual and aggregated data, and they imply that the AR(1) model is a better empirical alternative for testing rational addiction than the canonical AR(2) model.

Suggested Citation

  • Dragone, Davide & Raggi, Davide, 2021. "Resolving the milk addiction paradox," Journal of Health Economics, Elsevier, vol. 77(C).
    • Handle: RePEc:eee:jhecon:v:77:y:2021:i:c:s0167629621000370
    DOI: 10.1016/j.jhealeco.2021.102452
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167629621000370
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jhealeco.2021.102452?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kevin Callison & Robert Kaestner, 2014. "Do Higher Tobacco Taxes Reduce Adult Smoking? New Evidence Of The Effect Of Recent Cigarette Tax Increases On Adult Smoking," Economic Inquiry, Western Economic Association International, vol. 52(1), pages 155-172, January.
    2. Havranek, Tomas & Rusnak, Marek & Sokolova, Anna, 2017. "Habit formation in consumption: A meta-analysis," European Economic Review, Elsevier, vol. 95(C), pages 142-167.
    3. 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.
    4. Mikael Bask & Maria Melkersson, 2004. "Rationally addicted to drinking and smoking?," Applied Economics, Taylor & Francis Journals, vol. 36(4), pages 373-381.
    5. Driskill, Robert & McCafferty, Stephen, 2001. "Monopoly and Oligopoly Provision of Addictive Goods," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(1), pages 43-72, February.
    6. Cheung, Yin-Wong & Lai, Kon S, 1995. "Lag Order and Critical Values of a Modified Dickey-Fuller Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 57(3), pages 411-419, August.
    7. Donna B. Gilleskie & Koleman S. Strumpf, 2005. "The Behavioral Dynamics of Youth Smoking," Journal of Human Resources, University of Wisconsin Press, vol. 40(4), pages 822-866.
    8. Zivot, Eric & Andrews, Donald W K, 2002. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 25-44, January.
    9. Dragone, Davide & Raggi, Davide, 2021. "Resolving the milk addiction paradox," Journal of Health Economics, Elsevier, vol. 77(C).
    10. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July.
    11. 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.
    12. Cheung, Yin-Wong & Lai, Kon S, 1995. "Lag Order and Critical Values of the Augmented Dickey-Fuller Test," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(3), pages 277-280, July.
    13. 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.
    14. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    15. Becker, Gary S & Grossman, Michael & Murphy, Kevin M, 1991. "Rational Addiction and the Effect of Price on Consumption," American Economic Review, American Economic Association, vol. 81(2), pages 237-241, May.
    16. 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.
    17. 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.
    18. Michael Darden, 2017. "Smoking, Expectations, and Health: A Dynamic Stochastic Model of Lifetime Smoking Behavior," Journal of Political Economy, University of Chicago Press, vol. 125(5), pages 1465-1522.
    19. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    20. Yuqing Zheng & Chen Zhen & Daniel Dench & James M. Nonnemaker, 2017. "U.S. Demand for Tobacco Products in a System Framework," Health Economics, John Wiley & Sons, Ltd., vol. 26(8), pages 1067-1086, August.
    21. Chaloupka, Frank, 1991. "Rational Addictive Behavior and Cigarette Smoking," Journal of Political Economy, University of Chicago Press, vol. 99(4), pages 722-742, August.
    22. 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.
    23. Mikael Bask & Maria Melkersson, 2003. "Should one use smokeless tobacco in smoking cessation programs?," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 4(4), pages 263-270, December.
    24. Gregory, Allan W. & Hansen, Bruce E., 1996. "Residual-based tests for cointegration in models with regime shifts," Journal of Econometrics, Elsevier, vol. 70(1), pages 99-126, January.
    25. Gruber, Jonathan & Sen, Anindya & Stabile, Mark, 2003. "Estimating price elasticities when there is smuggling: the sensitivity of smoking to price in Canada," Journal of Health Economics, Elsevier, vol. 22(5), pages 821-842, September.
    26. Orphanides, Athanasios & Zervos, David, 1995. "Rational Addiction with Learning and Regret," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 739-758, August.
    27. Chaloupka, Frank J. & Warner, Kenneth E., 2000. "The economics of smoking," Handbook of Health Economics, in: A. J. Culyer & J. P. Newhouse (ed.), Handbook of Health Economics, edition 1, volume 1, chapter 29, pages 1539-1627, Elsevier.
    28. Auld, M. Christopher & Grootendorst, Paul, 2004. "An empirical analysis of milk addiction," Journal of Health Economics, Elsevier, vol. 23(6), pages 1117-1133, November.
    29. D. Dragone & D. Raggi, 2018. "Testing Rational Addiction: When Lifetime is Uncertain, One Lag is Enough," Working Papers wp1119, Dipartimento Scienze Economiche, Universita' di Bologna.
    30. Gregory, Allan W & Hansen, Bruce E, 1996. "Tests for Cointegration in Models with Regime and Trend Shifts," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(3), pages 555-560, August.
    31. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    32. Harl E. Ryder & Geoffrey M. Heal, 1973. "Optimal Growth with Intertemporally Dependent Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 40(1), pages 1-31.
    33. 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.
    34. Pollak, Robert A, 1970. "Habit Formation and Dynamic Demand Functions," Journal of Political Economy, University of Chicago Press, vol. 78(4), pages 745-763, Part I Ju.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Dragone, Davide & Raggi, Davide, 2021. "Resolving the milk addiction paradox," Journal of Health Economics, Elsevier, vol. 77(C).

    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. D. Dragone & D. Raggi, 2018. "Testing Rational Addiction: When Lifetime is Uncertain, One Lag is Enough," Working Papers wp1119, Dipartimento Scienze Economiche, Universita' di Bologna.
    2. David Aristei & Luca Pieroni, 2010. "Habits, Complementarities and Heterogeneity in Alcohol and Tobacco Demand: A Multivariate Dynamic Model," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 72(4), pages 428-457, August.
    3. Nikolay Gospodinov & Ian Irvine, 2005. "A `long march' perspective on tobacco use in Canada," Canadian Journal of Economics, Canadian Economics Association, vol. 38(2), pages 366-393, May.
    4. Robert Kaestner & Kevin Callison, 2018. "An Assessment of the Forward‐Looking Hypothesis of the Demand for Cigarettes," Southern Economic Journal, John Wiley & Sons, vol. 85(1), pages 48-70, July.
    5. 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.
    6. 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.
    7. Silvia Tiezzi, 2003. "Addiction and Smoking Behaviour in Italy," Department of Economics University of Siena 412, Department of Economics, University of Siena.
    8. Ciccarelli, Carlo & Giamboni, Luigi & Waldmann, Robert, 2007. "Cigarette smoking, pregnancy, forward looking behavior and dynamic inconsistency," MPRA Paper 8878, University Library of Munich, Germany.
    9. Mark Coppejans & Donna Gilleskie & Holger Sieg & Koleman Strumpf, 2007. "Consumer Demand under Price Uncertainty: Empirical Evidence from the Market for Cigarettes," The Review of Economics and Statistics, MIT Press, vol. 89(3), pages 510-521, August.
    10. repec:zbw:rwirep:0064 is not listed on IDEAS
    11. Peter Arcidiacono, Holger Sieg, Frank Sloan, 2001. "Living Rationally Under the Volcano? Heavy Drinking and Smoking Among the Elderly," Computing in Economics and Finance 2001 207, Society for Computational Economics.
    12. Piccoli, Luca & Tiezzi, Silvia, 2021. "Rational addiction and time-consistency: An empirical test," Journal of Health Economics, Elsevier, vol. 80(C).
    13. Jonathan Klick & Thomas Stratmann, 2006. "Subsidizing Addiction: Do State Health Insurance Mandates Increase Alcohol Consumption?," The Journal of Legal Studies, University of Chicago Press, vol. 35(1), pages 175-198, January.
    14. Thomas Demuynck & Ewout Verriest, 2013. "I’Ll Never Forget My First Cigarette: A Revealed Preference Analysis Of The “Habits As Durables” Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(2), pages 717-738, May.
    15. Hyeokkoo Eric Kwon & Hyunji So & Sang Pil Han & Wonseok Oh, 2016. "Excessive Dependence on Mobile Social Apps: A Rational Addiction Perspective," Information Systems Research, INFORMS, vol. 27(4), pages 919-939, December.
    16. Andrew M. Jones & Audrey Laporte & Nigel Rice & Eugenio Zucchelli, 2019. "Dynamic panel data estimation of an integrated Grossman and Becker–Murphy model of health and addiction," Empirical Economics, Springer, vol. 56(2), pages 703-733, February.
    17. Badi H. Baltagi & James M. Griffin, 2002. "Rational addiction to alcohol: panel data analysis of liquor consumption," Health Economics, John Wiley & Sons, Ltd., vol. 11(6), pages 485-491, September.
    18. Silvia Tiezzi, 2005. "An empirical analysis of tobacco addiction in Italy," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 6(3), pages 233-243, September.
    19. Göhlmann, Silja & Schmidt, Christoph M., 2008. "Smoking in Germany: Stylized Facts, Behavioral Models, and Health Policy," Ruhr Economic Papers 64, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    20. Silja Göhlmann & Christoph M. Schmidt, 2008. "Smoking in Germany: Stylized Facts, Behavioral Models, and Health Policy," Ruhr Economic Papers 0064, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    21. Strulik, Holger, 2018. "Smoking kills: An economic theory of addiction, health deficit accumulation, and longevity," Journal of Health Economics, Elsevier, vol. 62(C), pages 1-12.

    More about this item

    Keywords

    Adjacent complementarity; Forward-looking behavior; Milk addiction; Rational addiction; Spurious correlation;
    All these keywords.

    JEL classification:

    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior
    • L66 - Industrial Organization - - Industry Studies: Manufacturing - - - Food; Beverages; Cosmetics; Tobacco

    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:eee:jhecon:v:77:y:2021:i:c:s0167629621000370. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505560 .

    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.