IDEAS home Printed from https://ideas.repec.org/a/eee/matsoc/v108y2020icp81-89.html
   My bibliography  Save this article

On the indeterminacy of equilibrium in an endogenous growth model with non-separable preferences

Author

Listed:
  • Barañano, Ilaski
  • San Martín, Marta

Abstract

This paper studies equilibrium indeterminacy in an extended version of the two-sector endogenous growth model by Mino (1999) by allowing alternative specifications for leisure. When utility depends on pure leisure, indeterminacy may only emerge if consumption and leisure are Edgeworth complements. We obtain the necessary and sufficient conditions for indeterminacy from the arbitrage condition on the two assets of the economy: consumption and human capital. When qualified leisure is considered, indeterminacy does not arise.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:matsoc:v:108:y:2020:i:c:p:81-89
    DOI: 10.1016/j.mathsocsci.2020.10.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165489620300901
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.mathsocsci.2020.10.001?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. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    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. 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. Antoci, Angelo & Guerrini, Luca & Sodini, Mauro & Zarri, Luca, 2014. "A two-sector model of economic growth with social capital accumulation," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 53(C), pages 56-65.
    5. 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.
    6. Antonio Ladrón-de-Guevara & Salvador Ortigueira & Manuel S. Santos, 1999. "A Two-Sector Model of Endogenous Growth with Leisure," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 609-631.
    7. Kazuo Mino, 2017. "Growth and Business Cycles with Equilibrium Indeterminacy," Advances in Japanese Business and Economics, Springer, number 978-4-431-55609-1, February.
    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. Pelloni, Alessandra & Waldmann, Robert, 1998. "Stability properties of a growth model," Economics Letters, Elsevier, vol. 61(1), pages 55-60, October.
    10. Manuel Gomez, 2003. "Effects of Flat-Rate Taxes: to What Extent Does the Leisure Specification Matter?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(2), pages 404-430, April.
    11. Pelloni, Alessandra & Waldmann, Robert, 2000. "Can waste improve welfare?," Journal of Public Economics, Elsevier, vol. 77(1), pages 45-79, July.
    12. Benhabib, Jess & Farmer, Roger E. A., 1996. "Indeterminacy and sector-specific externalities," Journal of Monetary Economics, Elsevier, vol. 37(3), pages 421-443, June.
    13. de Hek, Paul A., 1998. "An aggregative model of capital accumulation with leisure-dependent utility," Journal of Economic Dynamics and Control, Elsevier, vol. 23(2), pages 255-276, September.
    14. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : II. New directions," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 309-341.
    15. Wen, Yi, 1998. "Capacity Utilization under Increasing Returns to Scale," Journal of Economic Theory, Elsevier, vol. 81(1), pages 7-36, July.
    16. Mino, Kazuo, 1999. "Non-separable utility function and indeterminacy of equilibrium in a model with human capital," Economics Letters, Elsevier, vol. 62(3), pages 311-317, March.
    17. 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.
    18. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
    19. 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.
    20. 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.
    21. Benhabib, Jess & Farmer, Roger E.A., 1999. "Indeterminacy and sunspots in macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 6, pages 387-448, Elsevier.
    22. Heckman, James J, 1976. "A Life-Cycle Model of Earnings, Learning, and Consumption," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 11-44, August.
    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. Kazuo Mino, 2000. "Preference Structure and Indeterminacy in Two-Sector Models of Endogenous Growth," Econometric Society World Congress 2000 Contributed Papers 0674, Econometric Society.
    2. 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.
    3. Mino, Kazuo, 2001. "Indeterminacy and Endogenous Growth with Social Constant Returns," Journal of Economic Theory, Elsevier, vol. 97(1), pages 203-222, March.
    4. 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.
    5. Pelloni, Alessandra & Waldmann, Robert, 2000. "Can waste improve welfare?," Journal of Public Economics, Elsevier, vol. 77(1), pages 45-79, July.
    6. Kazuo Mino, 2004. "Human Capital Formation and Patterns of Growth with Multiple Equilibria," Chapters, in: Michele Boldrin & Been-Lon Chen & Ping Wang (ed.), Human Capital, Trade and Public Policy in Rapidly Growing Economies, chapter 3, pages 42-64, Edward Elgar Publishing.
    7. 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.
    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. Gocke, Matthias, 2002. "Leisure versus learning-by-doing -- saturation effects and utility-side limits to endogenous growth," Economic Modelling, Elsevier, vol. 19(4), pages 585-609, August.
    10. 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.
    11. Susanto Basu & Luigi Pascali & Fabio Schiantarelli & Luis Serven, 2022. "Productivity and the Welfare of Nations," Journal of the European Economic Association, European Economic Association, vol. 20(4), pages 1647-1682.
    12. Ilaski Barañano, 2001. "Endogenous growth and economic fluctuations," Investigaciones Economicas, Fundación SEPI, vol. 25(3), pages 515-541, September.
    13. Mino, Kazuo, 2002. "Indeterminacy in Two-Sector Models of Endogenous Growth with Leisure," MPRA Paper 16994, University Library of Munich, Germany.
    14. Ghiglino, Christian, 2002. "Introduction to a General Equilibrium Approach to Economic Growth," Journal of Economic Theory, Elsevier, vol. 105(1), pages 1-17, July.
    15. Mino, Kazuo, 2000. "Sector-Specific Externalities and Endogenous Growth under Social Constant Returns," MPRA Paper 16993, University Library of Munich, Germany.
    16. 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.
    17. Boikos, Spyridon & Bucci, Alberto & Stengos, Thanasis, 2022. "Leisure and innovation in horizontal R&D-based growth," Economic Modelling, Elsevier, vol. 107(C).
    18. Barañano Mentxaka, Ilaski & Moral Zuazo, María Paz, 2007. "Consumption-Leisure Trade-offs and Persistency in Business Cycles," BILTOKI 1134-8984, Universidad del País Vasco - Departamento de Economía Aplicada III (Econometría y Estadística).
    19. Smulders, Sjak & Gradus, Raymond, 1996. "Pollution abatement and long-term growth," European Journal of Political Economy, Elsevier, vol. 12(3), pages 505-532, November.
    20. De, Supriyo, 2014. "Intangible capital and growth in the ‘new economy’: Implications of a multi-sector endogenous growth model," Structural Change and Economic Dynamics, Elsevier, vol. 28(C), pages 25-42.

    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:matsoc:v:108:y:2020:i:c:p:81-89. 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/505565 .

    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.