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Millian efficiency with endogenous fertility

Author

Listed:
  • Mikel Perez-Nievas

    (Universidade de Santiago Compostela)

  • Eduardo L. Gimenez

    (Universidade de Vigo)

  • J. Ignacio Conde-Ruiz

    (FEDEA)

Abstract

Should governments implement policies that affect fertility decisions on efficiency grounds? In this paper, we adress this question by developing an extension of the notion of Pareto efficiency, referred to as Millian efficiency, to evaluate the performance of symmetric allocations in an overlapping generations setting with endogenous fertility. The criterium of Pareto dominance underlying the notion of Millian efficiency is based exclusively on preferences of those agents who are actually born, and allows only for welfare comparisons of symmetric allocations (i.e, allocations in which all living individuals of the same generation take the same decisions). The main contributions of the paper are the following. First, we provide necessary (static) and sufficient (dynamic) conditions to determine whether an allocation is Millian efficient or not, and we show that the sufficient conditions for dynamic efficiency offered by Cass (1972) and Balasko and Shell (1980) cannot be straightforward applied when fertility decisions are endogenous. Second, we extend the two Fundamental Theorems of Welfare Economics to a framework with endogenous population by characterizing Millian efficient allocations as the equilibria of a decentralized price mechanism, and.we present a condition to identify equilibrium allocations as dynamically efficient that exclusively uses the sequence of prices associated to such decentralized equilibria. Finally, we use the results obtained to evaluate the performance of two fundamental institutions of the welfare state, such as public education and social security, in economies with endogenous fertility.

Suggested Citation

  • Mikel Perez-Nievas & Eduardo L. Gimenez & J. Ignacio Conde-Ruiz, 2007. "Millian efficiency with endogenous fertility," 2007 Meeting Papers 338, Society for Economic Dynamics.
  • Handle: RePEc:red:sed007:338
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    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Mas Niños, Más Pensiones
      by J. Ignacio Conde-Ruiz in Nada Es Gratis on 2014-02-27 13:00:04

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    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. Gregory Ponthiere, 2016. "Utilitarian population ethics and births timing," Journal of Economics, Springer, vol. 117(3), pages 189-238, April.
    5. Boucekkine, R. & Fabbri, G. & Gozzi, F., 2014. "Egalitarianism under population change: Age structure does matter," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 86-100.
    6. Mikhail Golosov & Larry E. Jones & Michèle Tertilt, 2007. "Efficiency with Endogenous Population Growth," Econometrica, Econometric Society, vol. 75(4), pages 1039-1071, July.
    7. Mehdi Senouci, 2013. "Direction of technical change, endogenous fertility, and patterns of growth," Working Papers hal-01206021, HAL.
    8. Simon Sosvilla-Rivero & Pedro Rodriguez, 2010. "Linkages in international stock markets: evidence from a classification procedure," Applied Economics, Taylor & Francis Journals, vol. 42(16), pages 2081-2089.
    9. 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.
    10. Alice Schoonbroodt & Michèle Tertilt, 2010. "Who Owns Children and Does it Matter?," NBER Working Papers 15663, National Bureau of Economic Research, Inc.
    11. 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.
    12. 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.
    13. Fanti, Luciano & Gori, Luca, 2012. "PAYG pensions, tax-cum-subsidy and A-Pareto efficiency," Research in Economics, Elsevier, vol. 66(1), pages 65-71.
    14. Nicholas Lawson & Dean Spears, 2018. "Optimal population and exhaustible resource constraints," Journal of Population Economics, Springer;European Society for Population Economics, vol. 31(1), pages 295-335, January.
    15. Raouf Boucekkine & Giorgio Fabbri & Fausto Gozzi, 2012. "Egalitarism under Population Change. The Role of Growth and Lifetime Span," AMSE Working Papers 1211, Aix-Marseille School of Economics, France.
    16. Robert TAMURA & David CUBERES, 2020. "Equilibrium and A-efficient Fertility with Increasing Returns to Population and Endogenous Mortality," JODE - Journal of Demographic Economics, Cambridge University Press, vol. 86(2), pages 157-182, June.
    17. Cipriani, Giam Pietro & Fioroni, Tamara, 2021. "Social Security and Endogenous Demographic Change: Child Support and Retirement Policies," IZA Discussion Papers 14018, Institute of Labor Economics (IZA).
    18. Pérez-Nievas, Mikel & Conde-Ruiz, José I. & Giménez, Eduardo L., 2019. "Efficiency and endogenous fertility," Theoretical Economics, Econometric Society, vol. 14(2), May.
    19. Oliwia Komada, 2015. "Children as a public good in PAYG pension system," Ekonomia journal, Faculty of Economic Sciences, University of Warsaw, vol. 43.
    20. Wei-bin Zhang, 2011. "Elastic Labour Supply and Home Production in a Monetary Growth Model," Interdisciplinary Description of Complex Systems - scientific journal, Croatian Interdisciplinary Society Provider Homepage: http://indecs.eu, vol. 9(2), pages 87-100.
    21. Wei Bin Zhang, 2015. "Progressive Income Taxation and Economic Growth with Endogenous Labor Supply and Public Good," European Journal of Economics and Business Studies Articles, European Center for Science Education and Research, vol. 1, September.
    22. 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.
    23. 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.
    24. J. Ignacio Conde-Ruiz, 2019. "¿Qué haríamos si hubiese que reinventar las pensiones?," Policy Papers 2019-02, FEDEA.

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    More about this item

    JEL classification:

    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth

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