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

Listed author(s):
  • Barañano Mentxaka, Ilaski
  • San Martín Lizarralde, Marta
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    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.

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    File URL: https://addi.ehu.es/handle/10810/16781
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    Paper provided by Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I in its series IKERLANAK with number Ikerlanak;2015-95.

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    Date of creation: Dec 2015
    Handle: RePEc:ehu:ikerla:16781
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    Order Information: Postal: Dpto. de Fundamentos del Análisis Económico I, Facultad de CC. Económicas y Empresariales, Universidad del País Vasco, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain
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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    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. World Bank, 2015. "World Development Indicators 2015," World Bank Publications, The World Bank, number 21634, December.
    10. Mino, Kazuo, 2001. "Indeterminacy and Endogenous Growth with Social Constant Returns," Journal of Economic Theory, Elsevier, vol. 97(1), pages 203-222, March.
    11. 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.
    12. 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.
    13. 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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