IDEAS home Printed from https://ideas.repec.org/p/ivi/wpasad/2011-19.html
   My bibliography  Save this paper

Optimal taxation in the Uzawa-Lucas Model with externality in human capital

Author

Listed:
  • Arantza Gorostiaga

    () (Dpto. Fundamentos del Análisis Económico II)

  • Jana Hromcová

    () (Universitat de Girona)

  • Miguel Ángel López García

    () (Dpt. Economia Aplicada)

Abstract

We show that in the Uzawa-Lucas model with externality in human capital with agents that value both consumption and leisure, the government pursuing the first best can achieve its goal by subsidizing the foregone earnings while studying. The subsidy should be financed by a schooling fee. We obtain that countries with similar initial conditions may issue different fees because multiple equilibria can arise for empirically plausible values of parameters. This result differs from the one obtained in ananalogous economy where agents only value consumption.

Suggested Citation

  • Arantza Gorostiaga & Jana Hromcová & Miguel Ángel López García, 2011. "Optimal taxation in the Uzawa-Lucas Model with externality in human capital," Working Papers. Serie AD 2011-19, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  • Handle: RePEc:ivi:wpasad:2011-19
    as

    Download full text from publisher

    File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2011-19.pdf
    File Function: Fisrt version / Primera version, 2011
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Casey B. Mulligan & Xavier Sala-i-Martin, 1993. "Transitional Dynamics in Two-Sector Models of Endogenous Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 108(3), pages 739-773.
    2. Ladron-de-Guevara, Antonio & Ortigueira, Salvador & Santos, Manuel S., 1997. "Equilibrium dynamics in two-sector models of endogenous growth," Journal of Economic Dynamics and Control, Elsevier, vol. 21(1), pages 115-143, January.
    3. Boucekkine, R. & Ruiz-Tamarit, J.R., 2008. "Special functions for the study of economic dynamics: The case of the Lucas-Uzawa model," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 33-54, January.
    4. Chamley, Christophe, 1993. "Externalities and Dynamics in Models of "Learning or Doing."," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(3), pages 583-609, August.
    5. 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.
    6. Antonio Ladrón-de-Guevara & Salvador Ortigueira & Manuel S. Santos, 1999. "A Two-Sector Model of Endogenous Growth with Leisure," Review of Economic Studies, Oxford University Press, vol. 66(3), pages 609-631.
    7. Caballe, Jordi & Santos, Manuel S, 1993. "On Endogenous Growth with Physical and Human Capital," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 1042-1067, December.
    8. Ben-Gad, Michael, 2003. "Fiscal policy and indeterminacy in models of endogenous growth," Journal of Economic Theory, Elsevier, vol. 108(2), pages 322-344, February.
    9. Dirk Bethmann, 2007. "A Closed-form Solution of the Uzawa-Lucas Model of Endogenous Growth," Journal of Economics, Springer, vol. 90(1), pages 87-107, January.
    10. Pedro Garcia-Castrillo & Marcos Sanso, 2000. "Human Capital and Optimal Policy in a Lucas-type Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(4), pages 757-770, October.
    11. Manuel Gómez, 2004. "Optimality of the competitive equilibrium in the Uzawa-Lucas model with sector-specific externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(4), pages 941-948, May.
    12. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    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. Neustroev, Dmitry, 2013. "The Uzawa-Lucas Growth Model with Natural Resources," MPRA Paper 52937, University Library of Munich, Germany.
    2. Shiro Kuwahara, 2017. "Multiple steady states and indeterminacy in the Uzawa–Lucas model with educational externalities," Journal of Economics, Springer, vol. 122(2), pages 173-190, October.
    3. Takumi Motoyama, 2019. "Sustainability of public debt under physical and human capital accumulation in an overlapping generations model," Journal of Economics, Springer, vol. 127(1), pages 19-45, June.
    4. Barañano Mentxaka, Ilaski & San Martín Lizarralde, Marta, 2015. "Optimal Taxation and Indeterminacy in the Uzawa-Lucas Model with Sector-specific Externalities," IKERLANAK Ikerlanak;2015-95, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.

    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. Brito, Paulo & Venditti, Alain, 2010. "Local and global indeterminacy in two-sector models of endogenous growth," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 893-911, September.
    2. Orlando Gomes, 2008. "Decentralized Allocation of Human Capital and Nonlinear Growth," Computational Economics, Springer;Society for Computational Economics, vol. 31(1), pages 45-75, February.
    3. Dirk Bethmann & Markus Reiß, 2012. "Simplifying numerical analyses of Hamilton–Jacobi–Bellman equations," Journal of Economics, Springer, vol. 107(2), pages 101-128, October.
    4. 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.
    5. Garcia-Belenguer, Fernando, 2007. "Stability, global dynamics and Markov equilibrium in models of endogenous economic growth," Journal of Economic Theory, Elsevier, vol. 136(1), pages 392-416, September.
    6. Pedro Garcia-Castrillo & Marcos Sanso, 2000. "Human Capital and Optimal Policy in a Lucas-type Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(4), pages 757-770, October.
    7. Jaime Alonso-Carrera, 2001. "More on the dynamics in the endogenous growth model with human capital," Investigaciones Economicas, Fundación SEPI, vol. 25(3), pages 561-583, September.
    8. Ladron-de-Guevara, Antonio & Ortigueira, Salvador & Santos, Manuel S., 1997. "Equilibrium dynamics in two-sector models of endogenous growth," Journal of Economic Dynamics and Control, Elsevier, vol. 21(1), pages 115-143, January.
    9. Barañano Mentxaka, Ilaski & San Martín Lizarralde, Marta, 2015. "Optimal Taxation and Indeterminacy in the Uzawa-Lucas Model with Sector-specific Externalities," IKERLANAK Ikerlanak;2015-95, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    10. Ortigueira, Salvador, 1998. "Fiscal policy in an endogenous growth model with human capital accumulation," Journal of Monetary Economics, Elsevier, vol. 42(2), pages 323-355, July.
    11. C. Chilarescu & I. Viasu, 2019. "Uniqueness and Multiple Trajectories for the Case of Lucas Model," Computational Economics, Springer;Society for Computational Economics, vol. 54(3), pages 1157-1177, October.
    12. Chilarescu, Constantin, 2011. "On the existence and uniqueness of solution to the Lucas–Uzawa model," Economic Modelling, Elsevier, vol. 28(1), pages 109-117.
    13. Petr Duczynski, 2007. "A Note on the Imbalance Effect in the Uzawa-Lucas Model," Economics Bulletin, AccessEcon, vol. 4(38), pages 1-12.
    14. Alfred Greiner & Willi Semmler, 1996. "Multiple steady states, indeterminacy, and cycles in a basic model of endogenous growth," Journal of Economics, Springer, vol. 63(1), pages 79-99, February.
    15. Kejak, Michal, 2003. "Stages of growth in economic development," Journal of Economic Dynamics and Control, Elsevier, vol. 27(5), pages 771-800, March.
    16. Azariadis, Costas & Chen, Been-Lon & Lu, Chia-Hui & Wang, Yin-Chi, 2013. "A two-sector model of endogenous growth with leisure externalities," Journal of Economic Theory, Elsevier, vol. 148(2), pages 843-857.
    17. Shiro Kuwahara, 2017. "Multiple steady states and indeterminacy in the Uzawa–Lucas model with educational externalities," Journal of Economics, Springer, vol. 122(2), pages 173-190, October.
    18. Lutz G. Arnold, 2006. "The Dynamics of the Jones R&D Growth Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(1), pages 143-152, January.
    19. Trimborn, Timo, 2018. "On the analysis of endogenous growth models with a balanced growth path," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 40-50.
    20. Dirk Bethmann, 2007. "Homogeneity, Saddle Path Stability, and Logarithmic Preferences in Economic Models," Discussion Paper Series 0702, Institute of Economic Research, Korea University.

    More about this item

    Keywords

    optimal policy; two-sector model; endogenous growth; indeterminacy.;
    All these keywords.

    JEL classification:

    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy
    • H31 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - Household

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:ivi:wpasad:2011-19. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Departamento de Edición). General contact details of provider: http://edirc.repec.org/data/ievages.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.