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

  • V. Borisov
  • G. Feichtinger
  • A. Kryazhimskii


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.

Pontryagin maximum principle optimal synthesis degenerate fixed points of ordinary differential equation optimal enforcement illicit drug markets 


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Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • V. Borisov
    • 1
    • 2
  • G. Feichtinger
    • 3
  • A. Kryazhimskii
    • 4
    • 5
  1. 1.State Academy for Custom ServicesCherkizovoRussia
  2. 2.Mechanical-Mathematical DepartmentLomonosov State UniversityMoscowRussia
  3. 3.Institute of Econometrics, OR, and Systems TheoryVienna University of TechnologyViennaAustria
  4. 4.Steklov Institute of MathematicsRussian Academy of SciencesMoscowRussia
  5. 5.International Institute for Applied Systems Analysis (IIASA)ViennaAustria

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