IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v106y2000i1d10.1023_a1004629722109.html
   My bibliography  Save this article

Optimal Enforcement on a Pure Seller's Market of Illicit Drugs

Author

Listed:
  • V. Borisov

    (State Academy for Custom Services
    Lomonosov State University)

  • G. Feichtinger

    (Vienna University of Technology)

  • A. Kryazhimskii

    (Russian Academy of Sciences
    International Institute for Applied Systems Analysis (IIASA))

Abstract

An optimal control problem for the dynamic enforcement (crackdown) of dealers on a pure seller's market for illicit drugs is explored. Theorems on existence and uniqueness of the optimal synthesis are proved. Using a technique of resolution of singularities for degenerate differential equations, we design analytically an optimal enforcement policy.

Suggested Citation

  • V. Borisov & G. Feichtinger & A. Kryazhimskii, 2000. "Optimal Enforcement on a Pure Seller's Market of Illicit Drugs," Journal of Optimization Theory and Applications, Springer, vol. 106(1), pages 1-22, July.
    • Handle: RePEc:spr:joptap:v:106:y:2000:i:1:d:10.1023_a:1004629722109
    DOI: 10.1023/A:1004629722109
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1004629722109
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1023/A:1004629722109?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Jonathan P. Caulkins, 1993. "Local Drug Markets' Response to Focused Police Enforcement," Operations Research, INFORMS, vol. 41(5), pages 848-863, October.
    2. Kort, P.M. & Feichtinger, G. & Hartl, R.F. & Haunschmied, J.L., 1998. "Optimal enforcement policies (crackdowns) on an illicit drug market," Other publications TiSEM c6de10bc-16b6-4f0c-830d-0, Tilburg University, School of Economics and Management.
    3. Baveja, Alok & Batta, Rajan & Caulkins, Jonathan P. & Karwan, Mark H., 1993. "Modeling the response of illicit drug markets to local enforcement," Socio-Economic Planning Sciences, Elsevier, vol. 27(2), pages 73-89, June.
    4. W. Davis Dechert & Kazuo Nishimura, 2012. "A Complete Characterization of Optimal Growth Paths in an Aggregated Model with a Non-Concave Production Function," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 237-257, Springer.
    5. Feichtinger, Gustav & Grienauer, Waltraud & Tragler, Gernot, 2002. "Optimal dynamic law enforcement," European Journal of Operational Research, Elsevier, vol. 141(1), pages 58-69, August.
    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. Feichtinger, Gustav & Grienauer, Waltraud & Tragler, Gernot, 2002. "Optimal dynamic law enforcement," European Journal of Operational Research, Elsevier, vol. 141(1), pages 58-69, August.
    2. Kort, P.M. & Feichtinger, G. & Hartl, R.F. & Haunschmied, J.L., 1996. "Optimal Enforcement Policies (Crackdowns) on a Drug Market," Other publications TiSEM 8f874586-670a-470a-95a6-b, Tilburg University, School of Economics and Management.
    3. Ginoux, Jean-Marc & Naeck, Roomila & Ruhomally, Yusra Bibi & Dauhoo, Muhammad Zaid & Perc, Matjaž, 2019. "Chaos in a predator–prey-based mathematical model for illicit drug consumption," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 502-513.
    4. Ken-Ichi Akao & Takashi Kamihigashi & Kazuo Nishimura, 2015. "Critical Capital Stock in a Continuous-Time Growth Model with a Convex-Concave Production Function," Discussion Paper Series DP2015-39, Research Institute for Economics & Business Administration, Kobe University.
    5. R.F. Hartl & P.M. Kort & G. Feichtinger, 2003. "Offense Control Taking into Account Heterogeneity of Age," Journal of Optimization Theory and Applications, Springer, vol. 116(3), pages 591-620, March.
    6. Baveja, A. & Feichtinger, G. & Hartl, R.F. & Haunschmied, J.L. & Kort, P.M., 1999. "A Resource-Constrained Optimal Control Model for Crackdown on Illicit Drug Markets," Other publications TiSEM 8648e4a1-5cc5-4167-8aad-9, Tilburg University, School of Economics and Management.
    7. Gragnani, A. & Rinaldi, S. & Feichtinger, G., 1997. "Dynamics of drug consumption: a theoretical model," Socio-Economic Planning Sciences, Elsevier, vol. 31(2), pages 127-137, June.
    8. Pu Cai & Jin-yi Cai & Ashish V. Naik, 1998. "Efficient Algorithms for a Scheduling Problem and its Applications to Illicit Drug Market Crackdowns," Journal of Combinatorial Optimization, Springer, vol. 1(4), pages 367-376, December.
    9. Zeiler, I. & Caulkins, J.P. & Tragler, G., 2011. "Optimal control of interacting systems with DNSS property: The case of illicit drug use," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1-2), pages 60-73, April.
    10. Baveja, Alok & Caulkins, Jonathan P. & Liu, Wensheng & Batta, Rajan & Karwan, Mark H., 1997. "When haste makes sense: Cracking down on street markets for illicit drugs," Socio-Economic Planning Sciences, Elsevier, vol. 31(4), pages 293-306, December.
    11. Zeiler, I. & Caulkins, J.P. & Tragler, G., 2011. "Optimal control of interacting systems with DNSS property: The case of illicit drug use," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1), pages 60-73.
    12. Baveja, Alok & Jamil, Mamnoon & Kushary, Debashis, 2004. "A sequential model for cracking down on street markets for illicit drugs," Socio-Economic Planning Sciences, Elsevier, vol. 38(1), pages 7-41, March.
    13. Chi-Bin Cheng & Hsu-Shih Shih & Boris Chen, 2017. "Subsidy rate decisions for the printer recycling industry by bi-level optimization techniques," Operational Research, Springer, vol. 17(3), pages 901-919, October.
    14. Kaya, C. Yalcin, 2004. "Time-optimal switching control for the US cocaine epidemic," Socio-Economic Planning Sciences, Elsevier, vol. 38(1), pages 57-72, March.
    15. I. Zeiler & J.P. Caulkins & G. Tragler, 2011. "Optimal Control of Interacting Systems with DNSS Property: The Case of Illicit Drug Use," Post-Print hal-00978258, HAL.
    16. Dawid, Herbert & Kopel, Michael, 1997. "On the Economically Optimal Exploitation of a Renewable Resource: The Case of a Convex Environment and a Convex Return Function," Journal of Economic Theory, Elsevier, vol. 76(2), pages 272-297, October.
    17. Takashi Kamihigashi & John Stachurski, 2011. "Existence, Stability and Computation of Stationary Distributions: An Extension of the Hopenhayn-Prescott Theorem," Discussion Paper Series DP2011-32, Research Institute for Economics & Business Administration, Kobe University.
    18. Francesco Bartaloni, 2021. "Existence of the Optimum in Shallow Lake Type Models with Hysteresis Effect," Journal of Optimization Theory and Applications, Springer, vol. 190(2), pages 358-392, August.
    19. Olivier Bruno & Cuong Van & Benoît Masquin, 2009. "When does a developing country use new technologies?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(2), pages 275-300, August.
    20. Manjira Datta, 1999. "Optimal accumulation in a small open economy with technological uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(1), pages 207-219.

    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:spr:joptap:v:106:y:2000:i:1:d:10.1023_a:1004629722109. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.