IDEAS home Printed from https://ideas.repec.org/a/eee/ecmode/v29y2012i5p1662-1665.html
   My bibliography  Save this article

Growth and multiple equilibria: A unique local dynamics

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0264999312001393
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econmod.2012.05.020?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. Xavier Raurich, 2003. "Government Spending, Local Indeterminacy and Tax Structure," Economica, London School of Economics and Political Science, vol. 70(280), pages 639-653, November.
    14. Capolupo, Rosa, 2000. "Output Taxation, Human Capital and Growth," Manchester School, University of Manchester, vol. 68(2), pages 166-183, March.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. Kei Hosoya, 2017. "Accounting for Growth Disparity: Lucas's Framework Revisited," Review of Development Economics, Wiley Blackwell, vol. 21(3), pages 874-887, August.
    3. Kamiguchi, Akira & Tamai, Toshiki, 2011. "Can productive government spending be a source of equilibrium indeterminacy?," Economic Modelling, Elsevier, vol. 28(3), pages 1335-1340, May.
    4. 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, Revistia Research and Publishing, vol. 1, September.
    5. Been‐Lon Chen & Shun‐Fa Lee, 2009. "Two‐Sector Growth Models with Productive Public Goods: Equilibrium (In)determinacy," Southern Economic Journal, John Wiley & Sons, vol. 75(3), pages 639-662, January.
    6. Tamai, Toshiki, 2007. "Public intermediate goods, endogenous growth, and indeterminacy," Economic Modelling, Elsevier, vol. 24(4), pages 683-689, July.
    7. Hosoya, Kei, 2016. "Recovery from natural disaster: A numerical investigation based on the convergence approach," Economic Modelling, Elsevier, vol. 55(C), pages 410-420.
    8. 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.
    9. Gupta, Manash Ranjan & Barman, Trishita Ray, 2010. "Health, infrastructure, environment and endogenous growth," Journal of Macroeconomics, Elsevier, vol. 32(2), pages 657-673, June.
    10. Fernández, Esther & Pérez, Rafaela & Ruiz, Jesús, 2012. "The environmental Kuznets curve and equilibrium indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 36(11), pages 1700-1717.
    11. 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.
    12. 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.
    13. Hyun Park, 2009. "Ramsey fiscal policy and endogenous growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(3), pages 377-398, June.
    14. Bella, Giovanni & Mattana, Paolo & Venturi, Beatrice, 2017. "Shilnikov chaos in the Lucas model of endogenous growth," Journal of Economic Theory, Elsevier, vol. 172(C), pages 451-477.
    15. Hyun Park, 2015. "Aggregate Instability and Fiscal Policies: Balanced Budget Rules and Productive Public Spending," Korean Economic Review, Korean Economic Association, vol. 31, pages 25-56.
    16. Takeo Hori & Noritaka Maebayashi, 2013. "Indeterminacy and utility-generating government spending under balanced-budget fiscal policies," Discussion Papers in Economics and Business 13-13, Osaka University, Graduate School of Economics.
    17. Bella, Giovanni & Mattana, Paolo, 2014. "Global indeterminacy of the equilibrium in the Chamley model of endogenous growth in the vicinity of a Bogdanov–Takens bifurcation," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 69-79.
    18. Been-Lon Chen & Shun-Fa Lee, 2009. "General Fund Financing, Earmarking, Economic Stabilization, and Welfare," Public Finance Review, , vol. 37(5), pages 507-538, September.
    19. Been‐Lon Chen & Shun‐Fa Lee, 2012. "Intersectoral Spillovers, Relative Prices and Development Traps," Review of Development Economics, Wiley Blackwell, vol. 16(2), pages 243-261, May.
    20. Chen, Shu-Hua & Guo, Jang-Ting, 2014. "Progressive taxation and macroeconomic (in)stability with utility-generating government spending," Journal of Macroeconomics, Elsevier, vol. 42(C), pages 174-183.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecmode:v:29:y:2012:i:5:p:1662-1665. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/30411 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.