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Macroeconomic Aspects of Substance Abuse: Diffusion, Productivity and Optimal Control

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Abstract

This paper deals dynamically with macroeconomic aspects of widespread substance abuse with a reference to illicit drugs as an example. Substance-abuse impedes the productivity of the labour force and subsequently economic growth. The labour force is divided into non-using and therefore fully productive workers, a number of whom are employed by the government in drug-control activities, and drug users who are only partially productive. An efficient management of the nation's portfolio of workers is taken to be the trajectory of drug-control that maximises the present value of the stream of disposable national incomes.

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File URL: http://www.uow.edu.au/content/groups/public/@web/@commerce/@econ/documents/doc/uow012183.pdf
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Bibliographic Info

Paper provided by School of Economics, University of Wollongong, NSW, Australia in its series Economics Working Papers with number wp04-22.

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Length: 32 pages
Date of creation: 2004
Date of revision:
Handle: RePEc:uow:depec1:wp04-22

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Postal: School of Economics, University of Wollongong, Northfields Avenue, Wollongong NSW 2522 Australia
Phone: +612 4221-3659
Fax: +612 4221-3725
Web page: http://business.uow.edu.au/econ/index.html
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Keywords: Substance abuse; labour productivity; national income; optimal control;

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References

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  1. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-39, May.
  2. Dechert, W. Davis & Nishimura, Kazuo, 1983. "A complete characterization of optimal growth paths in an aggregated model with a non-concave production function," Journal of Economic Theory, Elsevier, vol. 31(2), pages 332-354, December.
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Cited by:
  1. Levy, Amnon, 2008. "A theory of entrenched socioeconomic deprivation and addiction to strong mind-altering substances," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 37(5), pages 1756-1767, October.
  2. Grass, D., 2012. "Numerical computation of the optimal vector field: Exemplified by a fishery model," Journal of Economic Dynamics and Control, Elsevier, vol. 36(10), pages 1626-1658.
  3. Amnon Levy & João Faria, 2008. "Persistent high ambition and substance abuse: a rationalization of a vicious circle," Journal of Economics, Springer, vol. 94(3), pages 261-274, September.
  4. Akao, Ken-Ichi & Kamihigashi, Takashi & Nishimura, Kazuo, 2011. "Monotonicity and continuity of the critical capital stock in the Dechert–Nishimura model," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 677-682.
  5. Levy, Amnon, 2006. "A Theory of Relative Deprivation and Myopic Addiction," Economics Working Papers wp06-20, School of Economics, University of Wollongong, NSW, Australia.
  6. Levy, Amnon & Faria, João Ricardo, 2006. "Depression and Substance Abuse: A Rationalization of a Vicious Circle," Economics Working Papers wp06-16, School of Economics, University of Wollongong, NSW, Australia.

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