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A simple endogenous growth model with endogenous fertility: Indeterminacy and uniqueness

Author

Listed:
  • Chong K. Yip

    (Department of Economics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong (Fax:)

  • Junxi Zhang

    (University of Dundee, United Kingdom)

Abstract

This paper studies the equilibrium dynamics and indeterminacy of equilibria in an endogenous growth model with endogenous fertility choice. We characterize the conditions that give rise to an unique equilibrium as well as multiple equilibria. Whenever there exists a unique equilibrium, it will be globally determinate; when multiple equilibria arise, indeterminacy occurs. In particular, we find that two equilibria occur - one is associated with high fertility and low growth, while the other is associated with low fertility and high growth. A parameterized example is given to assess the empirical feasibility of our results. The validity of the neo-Malthusian relation between fertility and growth is then re-examined. Finally, we study the relation between growth and welfare and compare different balanced growth equilibria in terms of their lifetime-attained utility. JEL classifications: O41, J13

Suggested Citation

  • Chong K. Yip & Junxi Zhang, 1997. "A simple endogenous growth model with endogenous fertility: Indeterminacy and uniqueness," Journal of Population Economics, Springer;European Society for Population Economics, vol. 10(1), pages 97-110.
  • Handle: RePEc:spr:jopoec:v:10:y:1997:i:1:p:97-110
    Note: Received December 11, 1995 / Accepted October 20, 1996
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    Citations

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    Cited by:

    1. Ahmad, Khalil & Ali, Amjad & Chani, Muhammad Irfan, 2014. "Does sector specific foreign aid matter for fertility? An empirical analysis form Pakistan," MPRA Paper 82528, University Library of Munich, Germany, revised 2014.
    2. Angus Chu & Guido Cozzi & Chih-Hsing Liao, 2013. "Endogenous fertility and human capital in a Schumpeterian growth model," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(1), pages 181-202, January.
    3. Wei-Bin Zhang, 2016. "Endogenous Population Dynamics and Economic Growth with Free Trade between Countries," Social Sciences and Education Research Review, Department of Communication, Journalism and Education Sciences, University of Craiova, vol. 3(1), pages 3-30, May.
    4. Wei-Bin Zhang, 2017. "Economic Development and Environmental Change with Endogenous Birth and Mortality Rates," Asian Journal of Economic Modelling, Asian Economic and Social Society, vol. 5(1), pages 77-97, March.
    5. George Hondroyiannis & Evangelia Papapetrou, 1999. "Fertility choice and economic growth: Empirical evidence from the U.S," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 5(1), pages 108-120, February.
    6. Petrucci, Alberto, 2003. "Money, endogenous fertility and economic growth," Journal of Macroeconomics, Elsevier, vol. 25(4), pages 527-539, December.
    7. Daitoh, Ichiroh, 2010. "Productive consumption and population dynamics in an endogenous growth model: Demographic trends and human development aid in developing economies," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 696-709, April.
    8. Chang, Wen-ya & Chen, Ying-an & Chang, Juin-jen, 2013. "Growth and welfare effects of monetary policy with endogenous fertility," Journal of Macroeconomics, Elsevier, vol. 35(C), pages 117-130.
    9. Wei-Bin Zhang, 2014. "Endogenous population with human and physical capital accumulation," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 61(3), pages 231-252, September.
    10. repec:bla:scotjp:v:64:y:2017:i:3:p:263-282 is not listed on IDEAS
    11. Ken‐Ichi Hashimoto & Yoshiyasu Ono, 2011. "Does Pro‐Population Policy Raise Per Capita Consumption?," The Japanese Economic Review, Japanese Economic Association, vol. 62(2), pages 151-169, June.
    12. Zhang W.B., 2015. "Birth And Mortality Rates, Gender Division Of Labor, And Time Distribution In The Solow Growth Model," Revista Galega de Economía, University of Santiago de Compostela. Faculty of Economics and Business., vol. 24(1), pages 121-134.
    13. Wei-Bin, ZHANG, 2015. "Economic Oscillations With Endogenous Population, Human Capital And Wealth," Annals of Spiru Haret University, Economic Series, Universitatea Spiru Haret, vol. 6(2), pages 9-26.
    14. repec:ris:badest:0582 is not listed on IDEAS
    15. Wei-Bin Zhang, 2016. "Population Growth And Preference Change In A Generalized Solow Growth Model With Gender Time Distributions," Oradea Journal of Business and Economics, University of Oradea, Faculty of Economics, vol. 1(2), pages 7-30, September.
    16. repec:kap:iaecre:v:5:y:1999:i:1:p:108-120 is not listed on IDEAS

    More about this item

    Keywords

    Endogenous growth · endogenous fertility;

    JEL classification:

    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth

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