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. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. David Laibson, 2001. "A Cue-Theory of Consumption," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(1), pages 81-119.
    7. Chaloupka, Frank, 1991. "Rational Addictive Behavior and Cigarette Smoking," Journal of Political Economy, University of Chicago Press, vol. 99(4), pages 722-742, August.
    8. 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.
    9. 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.
    10. Jérôme Adda & Francesca Cornaglia, 2006. "Taxes, Cigarette Consumption, and Smoking Intensity," American Economic Review, American Economic Association, vol. 96(4), pages 1013-1028, September.
    11. 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.
    12. 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.
    13. Suresh P. Sethi, 2021. "Optimal Control Theory," Springer Texts in Business and Economics, Springer, edition 4, number 978-3-030-91745-6, August.
    14. 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.
    15. 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.
    16. Martin L. Weitzman, 2001. "Gamma Discounting," American Economic Review, American Economic Association, vol. 91(1), pages 260-271, March.
    17. Akerlof, George A, 1991. "Procrastination and Obedience," American Economic Review, American Economic Association, vol. 81(2), pages 1-19, May.
    18. Iannaccone, Laurence R., 1986. "Addiction and satiation," Economics Letters, Elsevier, vol. 21(1), pages 95-99.
    19. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    20. 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.
    21. 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.
    22. 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.
    23. 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.
    Full references (including those not matched with items on IDEAS)

    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. Sophie Massin, 2011. "La notion d'addiction en économie : La théorie du choix rationnel à l'épreuve," Revue d'économie politique, Dalloz, vol. 121(5), pages 713-750.
    2. Timothy J. Richards & Paul M. Patterson & Abebayehu Tegene, 2007. "Obesity And Nutrient Consumption: A Rational Addiction?," Contemporary Economic Policy, Western Economic Association International, vol. 25(3), pages 309-324, July.
    3. 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.
    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. 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.
    6. Hammar, Henrik & Carlsson, Fredrik, 2001. "Smokers' Decisions To Quit Smoking," Working Papers in Economics 59, University of Gothenburg, Department of Economics.
    7. 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.
    8. Anne Bretteville-Jensen, 2006. "Drug Demand – Initiation, Continuation and Quitting," De Economist, Springer, vol. 154(4), pages 491-516, December.
    9. Wang Ruqu, 2007. "The Optimal Consumption and the Quitting of Harmful Addictive Goods," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 7(1), pages 1-38, February.
    10. Ziggy MacDonald, 2004. "What Price Drug Use? The Contribution of Economics to an Evidence‐Based Drugs Policy," Journal of Economic Surveys, Wiley Blackwell, vol. 18(2), pages 113-152, April.
    11. Collet, Roger & de Lapparent, Matthieu & Hivert, Laurent, 2015. "Are French households car-use addicts? A microeconomic perspective," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 54(C), pages 86-94.
    12. Levy-Livermore, A., 1998. "Life-Expectancy Augmented Rational Addition: A Note," Economics Working Papers wp98-01, School of Economics, University of Wollongong, NSW, Australia.
    13. Jones, A. M. & Laporte, A. & Rice, N. & Zucchelli, E., 2014. "A synthesis of the Grossman and Becker-Murphy models of health and addiction: theoretical and empirical implications," Health, Econometrics and Data Group (HEDG) Working Papers 14/07, HEDG, c/o Department of Economics, University of York.
    14. 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.
    15. Kan, Kamhon, 2007. "Cigarette smoking and self-control," Journal of Health Economics, Elsevier, vol. 26(1), pages 61-81, January.
    16. Laux, Fritz L., 2000. "Addiction as a market failure: using rational addiction results to justify tobacco regulation," Journal of Health Economics, Elsevier, vol. 19(4), pages 421-437, July.
    17. Julian Reif, 2019. "A Model Of Addiction And Social Interactions," Economic Inquiry, Western Economic Association International, vol. 57(2), pages 759-773, April.
    18. 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.
    19. Xiaoou, Liu, 2009. "Rational Addiction Evidence From Carbonated Soft Drinks," 2009 Conference, August 16-22, 2009, Beijing, China 51620, International Association of Agricultural Economists.
    20. repec:zbw:rwirep:0064 is not listed on IDEAS
    21. Jacobs Martin, 2016. "Accounting for Changing Tastes: Approaches to Explaining Unstable Individual Preferences," Review of Economics, De Gruyter, vol. 67(2), pages 121-183, August.

    More about this item

    Keywords

    Rational Addiction; Stochastic Control; Uncertainty;
    All these keywords.

    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.

    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: Paul Hodgson (email available below). General contact details of provider: https://edirc.repec.org/data/deyoruk.html .

    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.