[Zurück]

G. Feichtinger, J. P. Caulkins, D. Grass, G. Tragler:
"Optimal control of "deviant" behavior";
Hauptvortrag: International Conference "Actual Problems of Stability and Control Theory" (APSCT'2009), Ural State University, Ekaterinburg, Russia (eingeladen); 21.09.2009 - 26.09.2009.

A survey on applications of optimal control models and nonlinear dynamical
systems in the economics of "deviant" behavior is given particularly
in illicit drug epidemics, corruption, and terrorism. The initiation
of criminal behavior (as well as of other "deviations") is inherently influenced
by social interactions implying that individual propensities depend
on the size and the structure of reference groups. A crucial consequence
of this paradigm are intrinsic nonlinearities governing the dynamics of
the processes. The purpose of the presentation is to deliver an optimal
control approach including such spillover or external effects.
An essential feature of nonlinear optimal control models in the existence
of multiple long-run equilibria and (Skiba-)thresholds separating
their basics attraction. This sensitivity on initial conditions (historydependence)
is illustrated by the US cocaine epidemic as well as in a production/
inventory example.

http://apsct.imm.uran.ru/eng/Proceedings_APSCT_Eng.doc