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On Efficient Child Making

Author

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  • Philippe Michel

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Bertrand Wigniolle

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

This paper is devoted to the study of the Pareto-efficiency of the competitive equilibrium for an overlapping generations economy with endogenous fertility. Pareto-efficiency needs a reformulation when fertility is endogenous. Then it is proved that a competitive equilibrium that converges in over-accumulation is non-Pareto-efficient. However, we provide an example in which a competitive equilibrium that converges in under-accumulation is non-Pareto-efficient. Finally, we give a general condition that ensures the Pareto-efficiency of the competitive equilibrium.

Suggested Citation

  • Philippe Michel & Bertrand Wigniolle, 2007. "On Efficient Child Making," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00185259, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00185259
    DOI: 10.1007/s00199-006-0099-1
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00185259
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    1. Mikhail Golosov & Larry E. Jones & Michèle Tertilt, 2007. "Efficiency with Endogenous Population Growth," Econometrica, Econometric Society, vol. 75(4), pages 1039-1071, July.
    2. Michel, Philippe, 1990. "Some Clarifications on the Transversality Condition," Econometrica, Econometric Society, vol. 58(3), pages 705-723, May.
    3. 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 14-64, Part II, .
    4. Nishimura, Kazuo & Zhang, Junsen, 1992. "Pay-as-you-go public pensions with endogenous fertility," Journal of Public Economics, Elsevier, vol. 48(2), pages 239-258, July.
    5. Rupa Chakrabarti, 1999. "Endogenous fertility and growth in a model with old age support," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(2), pages 393-416.
    6. W. A. Brock, 1970. "On Existence of Weakly Maximal Programmes in a Multi-Sector Economy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(2), pages 275-280.
    7. Eckstein, Zvi & Wolpin, Kenneth I., 1985. "Endogenous fertility and optimal population size," Journal of Public Economics, Elsevier, vol. 27(1), pages 93-106, June.
    8. de la Croix,David & Michel,Philippe, 2002. "A Theory of Economic Growth," Cambridge Books, Cambridge University Press, number 9780521001151, September.
    9. George B. Roberts, Chairman, Universities-National Bureau Committee for Economic Research, 1960. "Demographic and Economic Change in Developed Countries," NBER Books, National Bureau of Economic Research, Inc, number univ60-2.
    10. Gary S. Becker & Robert J. Barro, 1988. "A Reformulation of the Economic Theory of Fertility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(1), pages 1-25.
    11. 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.
    12. Raut, L K & Srinivasan, T N, 1994. "Dynamics of Endogenous Growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 777-790, August.
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    Cited by:

    1. de la Croix, David & Doepke, Matthias, 2021. "A soul’s view of the optimal population problem," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 98-108.
    2. Ishida, Ryo & Oguro, Kazumasa & Yasuoka, Masaya, 2018. "Population density, fertility, and childcare services from the perspective of a two-region overlapping generations model," Economic Analysis and Policy, Elsevier, vol. 59(C), pages 29-39.
    3. Thomas Baudin, 2011. "Family Policies: What Does the Standard Endogenous Fertility Model Tell Us?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 13(4), pages 555-593, August.
    4. J. Ignacio Conde-Ruiz & Eduardo L. Giménez & Mikel Pérez-Nievas, 2010. "Millian Efficiency with Endogenous Fertility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 154-187.
    5. Ishida, Ryo & Oguro, Kazumasa & Takahata, Junichiro, 2015. "Child benefit and fiscal burden in the endogenous fertility setting," Economic Modelling, Elsevier, vol. 44(C), pages 252-265.
    6. Renaud Bourlès & Bruno Ventelou & Maame Esi Woode, 2018. "Child Income Appropriations as a Disease-Coping Mechanism: Consequences for the Health-Education Relationship," Journal of Development Studies, Taylor & Francis Journals, vol. 54(1), pages 57-71, January.
    7. Alice Schoonbroodt, 2010. "Who Owns Children and Does It Matter?," Working Papers id:2360, eSocialSciences.
    8. David, DE LA CROIX & Axel, GOSSERIES, 2006. "Population Policy through Tradable Procreation Entitlements," Discussion Papers (ECON - Département des Sciences Economiques) 2006040, Université catholique de Louvain, Département des Sciences Economiques.
    9. Mikhail Golosov & Larry E. Jones & Michèle Tertilt, 2007. "Efficiency with Endogenous Population Growth," Econometrica, Econometric Society, vol. 75(4), pages 1039-1071, July.
    10. Julio Dávila, 2018. "Internalizing fertility and education externalities on capital returns," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(2), pages 343-373, August.
    11. 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.
    12. David de la Croix & Axel Gosseries, 2009. "Population Policy Through Tradable Procreation Entitlements," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(2), pages 507-542, May.
    13. Bishnu, Monisankar & Garg, Shresth & Garg, Tishara & Ray, Tridip, 2023. "Intergenerational transfers: Public education and pensions with endogenous fertility," Journal of Economic Dynamics and Control, Elsevier, vol. 153(C).
    14. Amol Amol & Monisankar Bishnu & Tridip Ray, 2023. "Pension, possible phaseout, and endogenous fertility in general equilibrium," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(2), pages 376-406, April.
    15. David de la Croix & Axel Gosseries, 2007. "Procreation, Migration and Tradable Quotas," Chapters, in: Robert L. Clark & Naohiro Ogawa & Andrew Mason (ed.), Population Aging, Intergenerational Transfers and the Macroeconomy, chapter 9, Edward Elgar Publishing.
    16. Li, Bei & Zhang, Jie, 2015. "Efficient education subsidization and the pay-as-you-use principle," Journal of Public Economics, Elsevier, vol. 129(C), pages 41-50.
    17. Minagawa Junichi & Upmann Thorsten, 2014. "A Single Parent’s Labor Supply: Evaluating Different Child Care Fees within an Intertemporal Framework," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 14(1), pages 177-215, January.
    18. Schoonbroodt, Alice & Tertilt, Michèle, 2014. "Property rights and efficiency in OLG models with endogenous fertility," Journal of Economic Theory, Elsevier, vol. 150(C), pages 551-582.
    19. Fanti, Luciano & Gori, Luca, 2012. "PAYG pensions, tax-cum-subsidy and A-Pareto efficiency," Research in Economics, Elsevier, vol. 66(1), pages 65-71.
    20. Spataro Luca & Fanti Luciano, 2011. "The Optimal Level of Debt in an OLG Model with Endogenous Fertility," German Economic Review, De Gruyter, vol. 12(3), pages 351-369, August.
    21. Firouz Gahvari, 2009. "Pensions and fertility: in search of a link," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 16(4), pages 418-442, August.
    22. Koichi Miyazaki, 2013. "Pay-as-you-go social security and endogenous fertility in a neoclassical growth model," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(3), pages 1233-1250, July.
    23. Oguro, Kazumasa & Takahata, Junichiro, 2009. "Child Benefit and Fiscal Burden with Endogenous Fertility," MPRA Paper 15378, University Library of Munich, Germany.
    24. Ken Tabata, 2017. "Population Aging, Unfunded Social Security and Economic Growth," Discussion Paper Series 155, School of Economics, Kwansei Gakuin University, revised Jan 2017.
    25. Pierre-Edouard Collignon, 2021. "When is a life worth living? A dynastic efficiency criterion for fertility," Working Papers 2021-21, Center for Research in Economics and Statistics.

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    More about this item

    Keywords

    endogenous fertility; Pareto-efficiency;

    JEL classification:

    • D9 - Microeconomics - - Micro-Based Behavioral Economics
    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

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