IDEAS home Printed from https://ideas.repec.org/p/yor/yorken/14-12.html
   My bibliography  Save this paper

Rational Addictive Behavior under Uncertainty

Author

Listed:
  • Zaifu Yang
  • Rong Zhang

Abstract

We develop a new model of addictive behavior that takes as a starting point the classic rational addiction model of Becker and Murphy, but incorporates uncertainty. We model uncertainty through the Wiener stochastic process. This process captures both random events such as anxiety, tensions and environmental cues which can precipitate and exacerbate addictions, and those sober and thought-provoking episodes that discourage addictions. We derive closed-form expressions for optimal (and expected optimal) addictive consumption and capital trajectories and examine their global and local properties. Our theory provides plausible explanations of several important patterns of addictive behavior, and has novel implications for addiction control policy.

Suggested Citation

  • Zaifu Yang & Rong Zhang, 2014. "Rational Addictive Behavior under Uncertainty," Discussion Papers 14/12, Department of Economics, University of York.
  • Handle: RePEc:yor:yorken:14/12
    as

    Download full text from publisher

    File URL: https://www.york.ac.uk/media/economics/documents/discussionpapers/2014/1412.pdf
    File Function: Main text
    Download Restriction: no

    References listed on IDEAS

    as
    1. 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.
    2. Martin L. Weitzman, 2001. "Gamma Discounting," American Economic Review, American Economic Association, vol. 91(1), pages 260-271, March.
    3. Chaloupka, Frank, 1991. "Rational Addictive Behavior and Cigarette Smoking," Journal of Political Economy, University of Chicago Press, vol. 99(4), pages 722-742, August.
    4. Akerlof, George A, 1991. "Procrastination and Obedience," American Economic Review, American Economic Association, vol. 81(2), pages 1-19, May.
    5. 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.
    6. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    7. 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.
    8. Iannaccone, Laurence R., 1986. "Addiction and satiation," Economics Letters, Elsevier, vol. 21(1), pages 95-99.
    9. 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.
    10. Fenn, Aju J. & Antonovitz, Frances & Schroeter, John R., 2001. "Cigarettes and addiction information: new evidence in support of the rational addiction model," Economics Letters, Elsevier, vol. 72(1), pages 39-45, July.
    11. B. Douglas Bernheim & Antonio Rangel, 2004. "Addiction and Cue-Triggered Decision Processes," American Economic Review, American Economic Association, vol. 94(5), pages 1558-1590, December.
    12. Schelling, Thomas C, 1984. "Self-Command in Practice, in Policy, and in a Theory of Rational Choice," American Economic Review, American Economic Association, vol. 74(2), pages 1-11, May.
    13. David Laibson, 2001. "A Cue-Theory of Consumption," The Quarterly Journal of Economics, Oxford University Press, vol. 116(1), pages 81-119.
    14. 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.
    15. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    16. Suranovic, Steven M. & Goldfarb, Robert S. & Leonard, Thomas C., 1999. "An economic theory of cigarette addiction," Journal of Health Economics, Elsevier, vol. 18(1), pages 1-29, January.
    17. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    18. Jérôme Adda & Francesca Cornaglia, 2006. "Taxes, Cigarette Consumption, and Smoking Intensity," American Economic Review, American Economic Association, vol. 96(4), pages 1013-1028, September.
    19. Keeler, Theodore E. & Hu, Teh-Wei & Barnett, Paul G. & Manning, Williard G., 1993. "Taxation, regulation, and addiction: A demand function for cigarettes based on time-series evidence," Journal of Health Economics, Elsevier, vol. 12(1), pages 1-18, April.
    20. Carbone, Jared C. & Kverndokk, Snorre & Rogeberg, Ole Jorgen, 2005. "Smoking, health, risk, and perception," Journal of Health Economics, Elsevier, vol. 24(4), pages 631-653, July.
    21. Winston, Gordon C., 1980. "Addiction and backsliding : A theory of compulsive consumption," Journal of Economic Behavior & Organization, Elsevier, vol. 1(4), pages 295-324, December.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Rational Addiction; Stochastic Control; Uncertainty;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • I10 - Health, Education, and Welfare - - Health - - - General
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health
    • K32 - Law and Economics - - Other Substantive Areas of Law - - - Energy, Environmental, Health, and Safety Law

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:yor:yorken:14/12. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Paul Hodgson). General contact details of provider: http://edirc.repec.org/data/deyoruk.html .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.