eprintid: 4632
rev_number: 5
eprint_status: archive
userid: 351
dir: disk0/00/00/46/32
datestamp: 2016-01-15 02:06:42
lastmod: 2021-08-27 17:15:26
status_changed: 2016-01-15 02:06:42
type: article
metadata_visibility: show
item_issues_count: 1
creators_name: Feichtinger, G.
creators_name: Dawid, H.
creators_id: 1555
title: Optimal allocation of drug control efforts: A differential game analysis
ispublished: pub
internal_subjects: iis_mod
internal_subjects: iis_pop
internal_subjects: iis_sys
divisions: prog_pop
keywords: Differential games; Drug control; Feedback Nash equilibria; Hamilton-Jacobi-Bellman equations
abstract: The present paper considers a dynamic nonzero-sum game between drug dealers and the authorities. Although the game is neither linear-quadratic nor degenerate, in the sense that the closed-loop equilibria coincide with the open-loop equilibria, we are able to calculate explicitly a stationary feedback Nash equilibrium of that game. In a numerical example, we determine the optimal allocation of governmental efforts between treatment and law enforcement minimizing the total discounted cost stream in the equilibrium. Moreover, we provide sensitivity analyses with respect to the efficiency parameters of both competitors. Our results show that a farsighted authority should attack the drug problem from the demand side and put much effort in treatment measures and the improvement of the efficiency of the treatment.
date: 1996-11
date_type: published
publisher: Springer
id_number: 10.1007/BF02190097
iiasapubid: XJ-96-074
iiasa_bibref: Journal of Optimization Theory and Applications; 91(3):279-297 (November 1996)
iiasa_bibnotes: [doi:10.1007/BF02190097]
creators_browse_id: 2589
full_text_status: none
publication: Journal of Optimization Theory and Applications
volume: 91
number: 3
pagerange: 279-297
refereed: TRUE
issn: 1573-2878
coversheets_dirty: FALSE
fp7_type: info:eu-repo/semantics/article
citation:   Feichtinger, G. <https://pure.iiasa.ac.at/view/iiasa/2589.html> & Dawid, H.  (1996).  Optimal allocation of drug control efforts: A differential game analysis.   Journal of Optimization Theory and Applications 91 (3) 279-297. 10.1007/BF02190097 <https://doi.org/10.1007/BF02190097>.