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 Institute for Advanced Studies in its series Economics Series with number 211.
Length: 32 pages
Date of creation: May 2007
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Other versions of this item:
- Jamsheed Shorish, 2007. "Welfare analysis of HIV/AIDS: Formulating and computing a continuous time overlapping generations policy model," The School of Economics Discussion Paper Series 0709, Economics, The University of Manchester.
- 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-AFR-2007-05-19 (Africa)
- NEP-ALL-2007-05-19 (All new papers)
- NEP-DGE-2007-05-19 (Dynamic General Equilibrium)
- NEP-HEA-2007-05-19 (Health Economics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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