Welfare analysis of HIV/AIDS: Formulating and computing a continuous time overlapping generations policy model
AbstractWe 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.
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Bibliographic InfoPaper provided by Economics, The University of Manchester in its series The School of Economics Discussion Paper Series with number 0709.
Date of creation: 2007
Date of revision:
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Other versions of this item:
- Shorish, Jamsheed, 2007. "Welfare Analysis of HIV/AIDS: Formulating and Computing a Continuous Time Overlapping Generations Policy Model," Economics Series 211, Institute for Advanced Studies.
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
- D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-02-09 (All new papers)
- NEP-DEV-2008-02-09 (Development)
- NEP-DGE-2008-02-09 (Dynamic General Equilibrium)
- NEP-HEA-2008-02-09 (Health Economics)
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- Emily Oster, 2005. "Sexually Transmitted Infections, Sexual Behavior, and the HIV/AIDS Epidemic," The Quarterly Journal of Economics, MIT Press, vol. 120(2), pages 467-515, May.
- Robalino, David A. & Jenkins, Carol & El Maroufi, Karim, 2002. "Risks and macroeconomic impacts of HIV/AIDS in the Middle East and North Africa : why waiting to intervene can be costly," Policy Research Working Paper Series 2874, The World Bank.
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