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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
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    References listed on IDEAS

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    1. 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.
    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. Feichtinger, Gustav & Grienauer, Waltraud & Tragler, Gernot, 2002. "Optimal dynamic law enforcement," European Journal of Operational Research, Elsevier, vol. 141(1), pages 58-69, August.
    5. Jonathan P. Caulkins, 1993. "Local Drug Markets' Response to Focused Police Enforcement," Operations Research, INFORMS, vol. 41(5), pages 848-863, October.
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