Offense control taking into account heterogeneity of age

Journal of Optimization Theory and Applications

Volumn 116, Issue 3, 2003, Pages 591-620

  Hartl, R F ^a   Kort, P M ^b   Feichtinger, G ^c  

^a UNIVERSITY OF VIENNA   (Austria)

^b TILBURG UNIVERSITY   (Netherlands)

^c VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

distributed parameters; economics of crime; multiple equilibria; Optimal control; partial differential equations; Skiba points; thresholds

Indexed keywords

CONTROLLED DRUG DELIVERY; PARTIAL DIFFERENTIAL EQUATIONS;

BENEFITS AND COSTS; COMPARTMENT MODELING; DISTRIBUTED-PARAMETER; ECONOMICS OF CRIME; MULTIPLE EQUILIBRIUM; OPTIMAL CONTROLS; OPTIMAL TRADEOFFS; SKIBUM POINT; THRESHOLD; TWO-STATE;

CRIME;

EID: 0037262276     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023017403842     Document Type: Article

References (24)

1. HAURIE, A., SETHI, S., and HARTL R. F., Optimal Control of an Age-Structured Population Model with Applications to Social Services Planning, Large Scale Systems, Vol. 6, pp. 133-158, 1984.
2. LEUNG, S. F., An Economic Analysis of the Age-Crime Profile, Journal of Economic Dynamics and Control, Vol. 18, pp. 481-497, 1994.
3. KORT, P. M., FEICHTINGER, G., HARTL, R. F., and HAUNSCHMIED, J. L., Optimal Enforcement Policies (Crackdown) on a Drug Market, Optimal Control Applications and Methods, Vol. 19, pp. 169-184, 1998.
4. FEICHTINGER, G., and TRAGLER, G., Multiple Equilibria in an Optimal Control Model for Law Enforcement, Proceedings of the Steklov Institute of Mathematics, Moscow, Russia, American Mathematical Society, Providence, Rhode Island, Vol. 236, pp. 449-460, 2002.
5. CAULKINS, J. P., FEICHTINGER, G., TRAGLER, G., and VELIOV, V., Cycles of Violence: A Dynamic Control Analysis, Forschungsbericht 250, Instituts für Ökonometrie, OR und Systemtheorie, TU Wien, Vienna, Austria, 2001.
6. TRAGLER, G., CAULKINS, J. P., and FEICHTINGER, G., Optimal Dynamic Allocation of Treatment and Enforcement in Illicit Drug Control, Operations Research, Vol. 49, pp. 352-362, 2001.
7. BEHRENS, D. A., CAULKINS, J. P., TRAGLER, G., and FEICHTINGER, G., Optimal Control of Drug Epidemics: Prevent and Treat, but Not at the Same Time?, Management Science, Vol. 46, pp. 333-347, 2000.
8. FEICHTINGER, G., GRIENAUER, W., and TRAGLER, G., Optimal Dynamic Law Enforcement, European Journal of Operational Research, Vol. 111, pp. 58-69, 2002.
9. MCKENDRICK, A. G., Applications of Mathematics to Medical Problems, Proceedings of the Edinburgh Mathematical Society, Vol. 44, pp. 98-130, 1926.
10. KEYFITZ, B. L., and KEYFITZ, N., The McKendrick Partial Differential Equation and Its Use in Epidemiology and Population Study, Mathematical and Computer Modelling, Vol. 26, pp. 1-9, 1997.
11. DIETZ, K., Introduction to McKendrick (1926) Applications of Mathematics to Medical Problems, Breakthroughs in Statistics, Vol. 3, Edited by S. Kotz and N. L. Johnson, Springer, Berlin, Germany, pp. 17-26, 1997.
12. VELIOV, V., FEICHTINGER, G., and TRAGLER, G., Optimally Conditions for Age-Structured Control Systems, Forschungsbericht 245, Instituts für Ökonometrie, OR und Systemtheorie, TU Wien, Vienna, Austria, 2000.
13. BROKATE, M., Pontryagin's Principle for Control Problems in Age-Dependent Population Dynamics, Journal of Mathematical Biology, Vol. 23, pp. 75-101, 1985.
14. CARLSON, D., HAURIE, A., and LEIZAROWITZ, A., Infinite-Horizon Optimal Control, Springer, Berlin, Germany, 1991.
15. XEPAPADEAS, A., and DE ZEEUW, A., Environmental Policy and Competitiveness: The Porter Hypotheses and the Composition of Capital, Journal of Environmental Economics and Management, Vol. 37, pp. 165-182, 1999.
16. FEICHTINGER, G., and HARTL, R. F., Optimale Kontrolle ökonomischer Prozesse: Anwendungen des Maximumprinzips in den Wirtschaftswissenschaften, de Gruyter, Berlin, Germany, 1986.
17. ALMEDER, C., CAULKINS, J. P., FEICHTINGER, G., and TRAGLER, G., Age-Specific Multi-Stage Drug Initiation Models: Insights from Considering Heterogeneity, Bulletin on Narcotics, Vol. 53, pp. 105-118, 2001.
18. ALMEDER, C., CAULKINS, J. P., FEICHTINGER, G., and TRAGLER, G., An Age-Structured Single-State Drug Initiation Model -Cycles of Drug Epidemics and Optimal Prevention Programs, Socio-Economic Planning Sciences, (to appear).
19. BRITO, P., Spatial Heterogeneity and Growth, Working Paper, Department of Economics, Technical University, Lisbon, Portugal, 1999.
20. BECKER, G. S., Crime and Punishment: An Economic Approach, Journal of Political Economy, Vol. 76, pp. 169-217, 1968.
21. BECKER, G. S., and MURPHY, K. M., A Theory of Rational Addiction, Journal of Political Economy, Vol. 96, pp. 675-700, 1988.
22. BECKER, G. S., Habits, Addictions, and Traditions, KYKLOS, Vol. 45, pp. 327-346, 1992.
23. DAWID, H., and FEICHTINGER, G., Optimal Allocation of Drug Control Efforts: A Differential Game Analysis, Journal of Optimization Theory and Applications, Vol. 91, pp. 279-297, 1996.
24. DAWID, H., FEICHTINGER, G., and NOVAK, A., Extortion as an Obstacle to Economic Growth, European Journal of Political Economy, Vol. 18, pp. 499-516, 2002.