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Optimal taxation in the Uzawa–Lucas model with externality in human capital

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  • Arantza Gorostiaga
  • Jana Hromcová
  • Miguel-Ángel López-García

Abstract

In this paper we study the optimal policy in the Uzawa–Lucas model with externality in human capital when agents value both consumption and leisure. We find that the government pursuing the first best can achieve its goal by a subsidy which depends on foregone earnings while studying and which is financed through a lump sum tax. Anyway, the optimal policy, that should be designed to provide incentives for agents to devote more time to schooling and cut both on leisure and working, is not unique. There exists an infinite number of combinations of consumption, capital income, labor income and lump sum taxes that can decentralize the first best. Copyright Springer-Verlag 2013

Suggested Citation

  • 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.
    • Handle: RePEc:kap:jeczfn:v:108:y:2013:i:2:p:111-129
    DOI: 10.1007/s00712-012-0285-5
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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. 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.
    3. 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.
    4. 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.
    5. 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.
    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. 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.
    9. 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.
    10. 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.
    11. 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.
    12. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    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.

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    More about this item

    Keywords

    Optimal policy; Two-sector model; Endogenous growth; Indeterminacy; O41; E62; H31;
    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

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