Welfare analysis of HIV/AIDS: Formulating and computing a continuous time overlapping generations policy model
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.
(This abstract was borrowed from another version of this item.)
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- Bell, Clive & Gersbach, Hans, 2009.
"The macroeconomics of targeting: the case of an enduring epidemic,"
Journal of Health Economics,
Elsevier, vol. 28(1), pages 54-72, January.
- Bell, Clive & Gersbach, Hans, 2006. "The Macroeconomics of Targeting: The Case of an Enduring Epidemic," IZA Discussion Papers 2393, Institute for the Study of Labor (IZA).
- Bell, Clive & Gersbach, Hans, 2006. "The Macroeconomics of Targeting: The Case of an Enduring Epidemic," CEPR Discussion Papers 5714, C.E.P.R. Discussion Papers.
- Céecile Ambert, 2002. "The Economic Impact of HIV/AIDS on the Construction Sector: Supply Side Implications for Housing Policy," South African Journal of Economics, Economic Society of South Africa, vol. 70(7), pages 584-596, 09.
- Paulo Brito & Rui Dilao, 2006.
"Equilibrium price dynamics in an overlapping-generations exchange economy,"
Working Papers Department of Economics
2006/27, ISEG - School of Economics and Management, Department of Economics, University of Lisbon.
- Brito, Paulo & Dilão, Rui, 2010. "Equilibrium price dynamics in an overlapping-generations exchange economy," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 343-355, May.
- Brito, Paulo & Dilao, Rui, 2006. "Equilibrium price dynamics in an overlapping-generations exchange economy," MPRA Paper 699, University Library of Munich, Germany.
- R Bonnel, 2000. "HIV/AIDS and Economic Growth: A Global Perspective," South African Journal of Economics, Economic Society of South Africa, vol. 68(5), pages 360-379, December.
- Jeff DeSimone & Edward J. Schumacher, 2004. "Compensating Wage Differentials and AIDS Risk," NBER Working Papers 10861, National Bureau of Economic Research, Inc.
- 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.
- Jayne, Thomas S. & Villarrea, Marcela & Pingali, Prabhu L. & Hemrich, Gunter, 2005.
"HIV/AIDS and the Agricultural Sector: Implications for Policy in Eastern and Southern Africa,"
eJADE: electronic Journal of Agricultural and Development Economics,
Food and Agriculture Organization, Agricultural and Development Economics Division, vol. 2(2).
- T. S. Jayne & Marcela Villarreal & Prabhu Pingali & Günter Hemrich, 2005. "HIV/AIDS and the Agricultural Sector: Implications for Policy in Eastern and Southern Africa," The Electronic Journal of Agricultural and Development Economics, Food and Agriculture Organization of the United Nations, vol. 2(2), pages 158-181.
- Simon Dixon & Scott McDonald & Jennifer Roberts, 2001. "HIV|AIDS and development in Africa," Journal of International Development, John Wiley & Sons, Ltd., vol. 13(4), pages 381-389.
- Lilani Kumaranayake & Charlotte Watts, 2001. "Resource allocation and priority setting of HIV|AIDS interventions: addressing the generalized epidemic in sub-Saharan Africa," Journal of International Development, John Wiley & Sons, Ltd., vol. 13(4), pages 451-466.
- Scott McDonald & Jennifer Roberts, 2004.
"Aids and Economic Growth: A Human Capital Approach,"
2004008, The University of Sheffield, Department of Economics, revised Aug 2004.
- McDonald, Scott & Roberts, Jennifer, 2006. "AIDS and economic growth: A human capital approach," Journal of Development Economics, Elsevier, vol. 80(1), pages 228-250, June.
- Markus Haacker & N. F. R. Crafts, 2003. "Welfare Implications of HIV/AIDS," IMF Working Papers 03/118, .
- Klaus Deininger & Anja Crommelynck & Gloria Kempaka, 2005. "Impact of AIDS on Family Composition, Welfare, and Investment: Evidence from Uganda ," Review of Development Economics, Wiley Blackwell, vol. 9(3), pages 303-324, 08.
- repec:gdm:wpaper:1806 is not listed on IDEAS
- David Canning, 2006. "The Economics of HIV/AIDS in Low-Income Countries: The Case for Prevention," Journal of Economic Perspectives, American Economic Association, vol. 20(3), pages 121-142, Summer.
- Silvia Faggian & Fausto Gozzi, 2004. "On The Dynamic Programming Approach For Optimal Control Problems Of Pde'S With Age Structure," Mathematical Population Studies, Taylor & Francis Journals, vol. 11(3-4), pages 233-270.
- Lloyd, P J, 1991. "Aids: An Economic Approach to the Choice of Policies," The Economic Record, The Economic Society of Australia, vol. 67(197), pages 126-138, June.
- Emily Oster, 2005. "Sexually Transmitted Infections, Sexual Behavior, and the HIV/AIDS Epidemic," The Quarterly Journal of Economics, Oxford University Press, vol. 120(2), pages 467-515.
- Stephen Dike, 2002. "Research on the Economic Impact of HIV/AIDS in South Africa:Review of Methodology and Lessons Learned," South African Journal of Economics, Economic Society of South Africa, vol. 70(7), pages 606-609, 09.
- C Arndt & J D Lewis, 2000. "The Macro Implications of HIV/AIDS in South Africa: A Preliminary Assessment," South African Journal of Economics, Economic Society of South Africa, vol. 68(5), pages 380-392, December.
- repec:eme:ijsepp:v:31:y:2004:i:7:p:721-731 is not listed on IDEAS
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