Pareto-efficiency and endogenous fertility: a simple model
AbstractThis article is devoted to the study of the Pareto-efficiency of the competitive equilibrium for a simple overlapping generations economy with endogenous fertility. For CES utility and production functions, it is proved that the economic properties of the economy are closely related to the two elasticitiesof substitution. First, the competitive equilibrium exists and is unique if the sum of the two elasticities is not smaller than one. Secondly, a set of parameters is provided such that the equilibrium is both in under-accumulation and inefficient. Thirdly, a sufficient condition is proved that ensures that an equilibrium converging in under-accumulation is Pareto-efficient: the sum of the two elasticities must not be greater than two.
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Bibliographic InfoPaper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00306463.
Date of creation: Jan 2009
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Publication status: Published, Mathematical Population Studies, 2009, 16, 1, 36-59
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endogenous fertility ; Pareto-efficiency;
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- Philippe Michel & Bertrand Wigniolle, 2009. "Pareto-Efficiency and Endogenous Fertility: A Simple Model," Mathematical Population Studies, Taylor & Francis Journals, vol. 16(1), pages 36-59.
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- MICHEL, Philippe & PESTIEAU, Pierre, .
"Population growth and optimality. When does serendipity hold?,"
CORE Discussion Papers RP
-1072, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Michel, Philippe & Pestieau, P, 1993. "Population Growth and Optimality: When Does Serendipity Hold?," Journal of Population Economics, Springer, vol. 6(4), pages 353-62, November.
- Mikel Perez-Nievas & Eduardo L. Gimenez & J. Ignacio Conde-Ruiz, 2007.
"Millian efficiency with endogenous fertility,"
2007 Meeting Papers
338, Society for Economic Dynamics.
- J. Ignacio Conde-Ruiz & Eduardo L. Giménez & Mikel Pérez-Nievas, . "Millian Efficiency with Endogenous Fertility," Working Papers 2004-13, FEDEA.
- J. Ignacio Conde-Ruiz & Eduardo L. Gimenez & Mikel Perez-Nievas, 2006. "Millian Efficiency with Endogenous Fertility," Documentos de trabajo - Analise Economica 0037, IDEGA - Instituto Universitario de Estudios e Desenvolvemento de Galicia.
- Mikhail Golosov & Larry E. Jones & Michele Tertilt, 2004.
"Efficiency with Endogenous Population Growth,"
NBER Working Papers
10231, National Bureau of Economic Research, Inc.
- Mikhail Golosov & Larry E Jones & Michèle Tertilt, 2003. "Effciency with Endogenous Population Growth," Levine's Working Paper Archive 666156000000000310, David K. Levine.
- Mikhail Golosov & Larry E. Jones, 2004. "Efficiency with Endogenous Population Growth," 2004 Meeting Papers 8, Society for Economic Dynamics.
- Mikhail Golosov & Larry E. Jones & Michele Tertilt, 2004. "Efficiency with endogenous population growth," Working Papers 630, Federal Reserve Bank of Minneapolis.
- Mikhail Golosov & Larry E. Jones & Michèle Tertilt, 2006. "Efficiency with Endogenous Population Growth," Discussion Papers 05-012, Stanford Institute for Economic Policy Research.
- Jeremy Greenwood & Ananth Seshadri & Guillaume Vandenbroucke, 2002.
"The Baby Boom and Baby Bust,"
Economie d'Avant Garde Research Reports
1, Economie d'Avant Garde.
- de la Croix,David & Michel,Philippe, 2002.
"A Theory of Economic Growth,"
Cambridge University Press, number 9780521001151, December.
- Eckstein, Zvi & Wolpin, Kenneth I., 1985. "Endogenous fertility and optimal population size," Journal of Public Economics, Elsevier, vol. 27(1), pages 93-106, June.
- Philippe Michel & Bertrand Wigniolle, 2007.
"On Efficient Child Making,"
Springer, vol. 31(2), pages 307-326, May.
- Philippe Michel & Bertrand Wigniolle, 2007. "On Efficient Child Making," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00185259, HAL.
- Birdsall, Nancy, 1988. "Economic approaches to population growth," Handbook of Development Economics, in: Hollis Chenery & T.N. Srinivasan (ed.), Handbook of Development Economics, edition 1, volume 1, chapter 12, pages 477-542 Elsevier.
- Gary S. Becker, 1960. "An Economic Analysis of Fertility," NBER Chapters, in: Demographic and Economic Change in Developed Countries, pages 209-240 National Bureau of Economic Research, Inc.
- Willis, Robert J, 1973. "A New Approach to the Economic Theory of Fertility Behavior," Journal of Political Economy, University of Chicago Press, vol. 81(2), pages S14-64, Part II, .
- Razin, Assaf & Ben-Zion, Uri, 1975. "An Intergenerational Model of Population Growth," American Economic Review, American Economic Association, vol. 65(5), pages 923-33, December.
- Shone,Ronald, 2002. "Economic Dynamics," Cambridge Books, Cambridge University Press, number 9780521017039, December.
- Thomas Baudin, 2012. "The Optimal Trade-Off Between Quality and Quantity with Unknown Number of Survivors," Mathematical Population Studies, Taylor & Francis Journals, vol. 19(2), pages 94-113, April.
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