Welfare Analysis of HIV/AIDS: Formulating and Computing a Continuous Time Overlapping Generations Policy Model

Jamsheed Shorish ()

No 211, Economics Series from Institute for Advanced Studies

Abstract: We introduce a continuous time overlapping generations demographic model, in which a social planner seeks to generate an optimal policy for influencing the demographic change of the underlying population in a neoclassical growth model. The model has the notable feature that the underlying state space is a continuum, leading to a Hamilton-Jacobi-Bellman PDE system which is defined over a Hilbert space generated by the ages of the population cohorts. In this technical report the dynamic programming problem is presented and the numerical approximation using a finite difference approximation is derived. This analysis is part of a larger research program on welfare analysis and policy development for the HIV/AIDS global pandemic.

Keywords: Optimal control; continuous time overlapping generations; Hamilton-Jacobi-Bellman PDE; finite difference approximation; HIV/AIDS; demographic modeling (search for similar items in EconPapers)
JEL-codes: C61 C63 D61 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-afr, nep-dge and nep-hea
Date: 2007-05
View list of references

Downloads: (external link)
http://www.ihs.ac.at/publications/eco/es-211.pdf First version, 2007 (application/pdf)

Related works:
Working Paper: Welfare analysis of HIV/AIDS: Formulating and computing a continuous time overlapping generations policy model (2007)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: http://EconPapers.repec.org/RePEc:ihs:ihsesp:211

Ordering information: This working paper can be ordered from
Institute for Advanced Studies - Library, Stumpergasse 56, A-1060 Vienna, Austria

Access Statistics for this paper

More papers in Economics Series from Institute for Advanced Studies
Address: Stumpergasse 56, A-1060 Vienna, Austria
Contact information at EDIRC.
Series data maintained by Wolfgang Nessler ().