IDEAS home Printed from https://ideas.repec.org/p/ehu/ikerla/16781.html
   My bibliography  Save this paper

Optimal Taxation and Indeterminacy in the Uzawa-Lucas Model with Sector-specific Externalities

Author

Listed:
  • Barañano Mentxaka, Ilaski
  • San Martín Lizarralde, Marta

Abstract

In an extended Uzawa-Lucas model that includes labor-leisure decisions, sector-speci c externalities in the production of goods generate a market failure relative to the socially optimal decisions. We show that, regardless of whether agents value pure or effective units of leisure, the first best solution can be attained either by using a time-varying subsidy to the human capital employed to produce goods or by combining consumption and labor income taxes with this type of subsidy. Moreover, when leisure is de ned as raw time, we fi nd that even when there is global determinacy, local indeterminacy may arise for several combinations of the parameters that are consistent with empirical evidence and previous literature. Importantly, under local indeterminacy the optimal policy does not ensure that identical economies will converge to the same per capita levels. Thus, not only the size and type of human capital externalities are important for optimal policy but also the indeterminacy aspects are relevant.

Suggested Citation

  • Barañano Mentxaka, Ilaski & San Martín Lizarralde, Marta, 2015. "Optimal Taxation and Indeterminacy in the Uzawa-Lucas Model with Sector-specific Externalities," IKERLANAK 16781, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  • Handle: RePEc:ehu:ikerla:16781
    as

    Download full text from publisher

    File URL: https://addi.ehu.es/handle/10810/16781
    Download Restriction: no
    ---><---

    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. 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.
    3. Rebelo, Sergio, 1991. "Long-Run Policy Analysis and Long-Run Growth," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 500-521, June.
    4. 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.
    5. Arantza Gorostiaga & Jana Hromcová & Miguel-Ángel López-García, 2013. "Optimal taxation in the Uzawa–Lucas model with externality in human capital," Journal of Economics, Springer, vol. 108(2), pages 111-129, March.
    6. World Bank, 2015. "World Development Indicators 2015," World Bank Publications - Books, The World Bank Group, number 21634, December.
    7. Mino, Kazuo, 2001. "Indeterminacy and Endogenous Growth with Social Constant Returns," Journal of Economic Theory, Elsevier, vol. 97(1), pages 203-222, March.
    8. Salvador Ortigueira, 2000. "A dynamic analysis of an endogenous growth model with leisure," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(1), pages 43-62.
    9. 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.
    10. King, Robert G & Rebelo, Sergio, 1990. "Public Policy and Economic Growth: Developing Neoclassical Implications," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 126-150, October.
    11. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
    12. 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.
    13. 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.
    14. 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)

    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. 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. Arantza Gorostiaga & Jana Hromcová & Miguel-Ángel López-García, 2013. "Optimal taxation in the Uzawa–Lucas model with externality in human capital," Journal of Economics, Springer, vol. 108(2), pages 111-129, March.
    4. Barañano, Ilaski & San Martín, Marta, 2020. "On the indeterminacy of equilibrium in an endogenous growth model with non-separable preferences," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 81-89.
    5. Gomez Suarez, Manuel A., 2008. "Utility and production externalities, equilibrium efficiency and leisure specification," Journal of Macroeconomics, Elsevier, vol. 30(4), pages 1496-1519, December.
    6. Zeng, Jinli & Zhang, Jie, 2022. "Education policies and development with threshold human capital externalities," Economic Modelling, Elsevier, vol. 108(C).
    7. Turnovsky, S., 2000. "Growth in an Open Economy: some Recent Developments," Papers 5, Warwick - Development Economics Research Centre.
    8. 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.
    9. Kazuo Mino, 2000. "Preference Structure and Indeterminacy in Two-Sector Models of Endogenous Growth," Econometric Society World Congress 2000 Contributed Papers 0674, Econometric Society.
    10. Pelloni, Alessandra & Waldmann, Robert, 2000. "Can waste improve welfare?," Journal of Public Economics, Elsevier, vol. 77(1), pages 45-79, July.
    11. Hu, Yunfang & Mino, Kazuo, 2004. "Fiscal Policy, Home Production and Growth Dynamics," MPRA Paper 17017, University Library of Munich, Germany.
    12. 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.
    13. Been-Lon Chen & Shun-Fa Lee, 2005. "Congestible Public Goods and Indeterminacy in a Two-sector Endogenous Growth Model," IEAS Working Paper : academic research 05-A003, Institute of Economics, Academia Sinica, Taipei, Taiwan.
    14. 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.
    15. Milesi-Ferretti, Gian Maria & Roubini, Nouriel, 1998. "On the taxation of human and physical capital in models of endogenous growth," Journal of Public Economics, Elsevier, vol. 70(2), pages 237-254, November.
    16. García-Belenguer, Fernando, 2006. "Stability, Global Dynamics and Markov Equilibrium in Models of Economic Growth," Working Papers in Economic Theory 2006/05, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
    17. 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.
    18. 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.
    19. Yakita, Akira, 2003. "Taxation and growth with overlapping generations," Journal of Public Economics, Elsevier, vol. 87(3-4), pages 467-487, March.
    20. 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.

    More about this item

    Keywords

    endogenous; growth; externalities; optimal; policy; indeterminacy;
    All these keywords.

    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:ehu:ikerla:16781. 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: Alcira Macías Redondo (email available below). General contact details of provider: https://edirc.repec.org/data/f1ehues.html .

    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.