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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 236, Pages 462–473
(Mi tm315)
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This article is cited in 3 scientific papers (total in 3 papers)
Multiple Equilibria in an Optimal Control Model for Law Enforcement
G. Feichtinger, G. Tragler Vienna University of Technology
Abstract:
In this paper, Becker's (1968) economic approach to crime and punishment is
extended by including intertemporal aspects. We analyze a one-state control
model to determine the optimal dynamic trade-off between damages caused by
offenders and law enforcement expenditures. By using Pontryagin's maximum
principle we obtain interesting insight into the dynamical structure of
optimal law enforcement policies. It is found that inherently multiple
steady states are generated which can be saddle-points, unstable nodes or
focuses and boundary solutions. Moreover, thresholds (so-called Skiba
points) between the basins of attraction are discussed. A bifurcation
analysis is carried out to classify the various patterns of optimal law
enforcement policies.
Received in February 2001
Citation:
G. Feichtinger, G. Tragler, “Multiple Equilibria in an Optimal Control Model for Law Enforcement”, Differential equations and dynamical systems, Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko, Trudy Mat. Inst. Steklova, 236, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 462–473; Proc. Steklov Inst. Math., 236 (2002), 449–460
Linking options:
https://www.mathnet.ru/eng/tm315 https://www.mathnet.ru/eng/tm/v236/p462
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Abstract page: | 313 | Full-text PDF : | 94 | References: | 57 |
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