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Growth and multiple equilibria: A unique local dynamics

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  • Hosoya, Kei

Abstract

The paper investigates the local dynamics of a simple growth model with a public health factor. A notable feature of the model is that it employs a non-separable utility function between consumption and the level of public health infrastructure (publicly provided health environment). In addition to the effects on utility, an increase in the public health level contributes to labor productivity growth. From a three-dimensional dynamic system that includes physical capital, public health infrastructure and consumption, our model is found to have multiple equilibria (dual steady states) if the deep parameters of the utility function satisfy certain conditions. Then, numerical computations demonstrate that each equilibrium exhibits local saddle-path stability. This result deserves careful attention, as it indicates that the economy experiences a relatively undiversified growth pattern when converging on high- and low-growth equilibria. Our striking result has important implications in the study of growth and development.

Suggested Citation

  • Hosoya, Kei, 2012. "Growth and multiple equilibria: A unique local dynamics," Economic Modelling, Elsevier, vol. 29(5), pages 1662-1665.
    • Handle: RePEc:eee:ecmode:v:29:y:2012:i:5:p:1662-1665
    DOI: 10.1016/j.econmod.2012.05.020
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    1. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June.
    2. Park, Hyun & Philippopoulos, Apostolis, 2004. "Indeterminacy and fiscal policies in a growing economy," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 645-660, January.
    3. Jess Benhabib & Qinglai Meng & Kazuo Nishimura, 2012. "Indeterminacy Under Constant Returns to Scale in Multisector Economies," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 403-412, Springer.
    4. Agénor, Pierre-Richard, 2008. "Health and infrastructure in a model of endogenous growth," Journal of Macroeconomics, Elsevier, vol. 30(4), pages 1407-1422, December.
    5. Bennett, Rosalind L. & Farmer, Roger E. A., 2000. "Indeterminacy with Non-separable Utility," Journal of Economic Theory, Elsevier, vol. 93(1), pages 118-143, July.
    6. Barro, Robert J, 1990. "Government Spending in a Simple Model of Endogenous Growth," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 103-126, October.
    7. Xie Danyang, 1994. "Divergence in Economic Performance: Transitional Dynamics with Multiple Equilibria," Journal of Economic Theory, Elsevier, vol. 63(1), pages 97-112, June.
    8. Cazzavillan, Guido, 1996. "Public Spending, Endogenous Growth, and Endogenous Fluctuations," Journal of Economic Theory, Elsevier, vol. 71(2), pages 394-415, November.
    9. Perez, Rafaela & Ruiz, Jesus, 2007. "Global and local indeterminacy and optimal environmental public policies in an economy with public abatement activities," Economic Modelling, Elsevier, vol. 24(3), pages 431-452, May.
    10. Alonso-Carrera, Jaime & Freire-Seren, Maria Jesus, 2004. "Multiple equilibria, fiscal policy, and human capital accumulation," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 841-856, January.
    11. Alfred Greiner, 2003. "On the dynamics of an endogenous growth model with learning by doing," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(1), pages 205-214, January.
    12. Fernandez, Esther & Novales, Alfonso & Ruiz, Jesus, 2004. "Indeterminacy under non-separability of public consumption and leisure in the utility function," Economic Modelling, Elsevier, vol. 21(3), pages 409-428, May.
    13. repec:bla:econom:v:70:y:2003:i:280:p:639-653 is not listed on IDEAS
    14. repec:bla:manchs:v:68:y:2000:i:2:p:166-83 is not listed on IDEAS
    15. Rosa Capolupo, 2000. "Output Taxation, Human Capital and Growth," Manchester School, University of Manchester, vol. 68(2), pages 166-183, March.
    16. Michele Boldrin & Been-Lon Chen & Ping Wang (ed.), 2004. "Human Capital, Trade and Public Policy in Rapidly Growing Economies," Books, Edward Elgar Publishing, number 3470.
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    Cited by:

    1. Hosoya, Kei, 2014. "Public health infrastructure and growth: Ways to improve the inferior equilibrium under multiple equilibria," Research in Economics, Elsevier, vol. 68(3), pages 194-207.
    2. Gaspar, J. & Vasconcelos, P.B. & Afonso, O., 2014. "Economic growth and multiple equilibria: A critical note," Economic Modelling, Elsevier, vol. 36(C), pages 157-160.
    3. Chaudhry, Azam & Tanveer, Hafsa & Naz, R., 2017. "Unique and multiple equilibria in a macroeconomic model with environmental quality: An analysis of local stability," Economic Modelling, Elsevier, vol. 63(C), pages 206-214.
    4. José Gaspar & Liliana Garrido-da-Silva & Paulo B. Vasconcelos & Óscar Afonso, 2023. "Local and global indeterminacy and transition dynamics in a growth model with public goods," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 22(2), pages 271-314, May.

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    More about this item

    Keywords

    Growth; Multiple equilibria; Local dynamics; Public health infrastructure;
    All these keywords.

    JEL classification:

    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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