IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v43y2007i3-4p446-476.html
   My bibliography  Save this article

Indeterminacy in discrete-time infinite-horizon models with non-linear utility and endogenous labor

Author

Listed:
  • Nishimura, Kazuo
  • Venditti, Alain

Abstract

Over the last decade, a large number of papers have established the fact that locally indeterminate equilibria and sunspots fluctuations may arise in infinite-horizon growth models with external effects in production. These contributions also show that there exist significant differences between one-sector and two-sector models. As initially established by Benhabib and Farmer (1994), in one-sector models local indeterminacy requires some increasing returns based on externalities coming from capital and more importantly labor, a strongly elastic labor supply, and a large enough elasticity of intertemporal substitution in consumption which may however remain within plausible intervals.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Nishimura, Kazuo & Venditti, Alain, 2007. "Indeterminacy in discrete-time infinite-horizon models with non-linear utility and endogenous labor," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 446-476, April.
    • Handle: RePEc:eee:mateco:v:43:y:2007:i:3-4:p:446-476
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4068(06)00079-6
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
    2. K. Nishimura & H. Takahashi & A. Venditti, 2006. "Endogenous Fluctuations in Two-Sector Models: Role of Preferences," Journal of Optimization Theory and Applications, Springer, vol. 128(2), pages 309-331, February.
    3. Bosi, Stefano & Magris, Francesco & Venditti, Alain, 2005. "Competitive equilibrium cycles with endogenous labor," Journal of Mathematical Economics, Elsevier, vol. 41(3), pages 325-349, April.
    4. Kazuo Nishimura & Jess Benhabib & Alain Venditti, 2002. "Indeterminacy and cycles in two-sector discrete-time model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 217-235.
    5. Jess Benhabib & Kazuo Nishimura, 2012. "Indeterminacy and Sunspots with Constant Returns," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 311-346, Springer.
    6. Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
    7. 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.
    8. Patrick Pintus, 2006. "Indeterminacy with almost constant returns to scale: capital-labor substitution matters," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 633-649, August.
    9. Kazuo Nishimura & Alain Venditti, 2004. "Asymmetric Factor Substitutability and Indeterminacy," Journal of Economics, Springer, vol. 83(2), pages 125-150, November.
    10. Nishimura, Kazuo & Venditti, Alain, 2004. "Indeterminacy And The Role Of Factor Substitutability," Macroeconomic Dynamics, Cambridge University Press, vol. 8(4), pages 436-465, September.
    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. Dufourt, Frédéric & Nishimura, Kazuo & Venditti, Alain, 2015. "Indeterminacy and sunspots in two-sector RBC models with generalized no-income-effect preferences," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1056-1080.
    2. Been-Lon Chen & Mei Hsu & Yu-Shan Hsu, 2018. "Progressive taxation and macroeconomic stability in two-sector models with social constant returns," Journal of Economics, Springer, vol. 125(1), pages 51-68, September.
    3. Busato, Francesco & Chiarini, Bruno & Marchetti, Enrico, 2011. "Indeterminacy, underground activities and tax evasion," Economic Modelling, Elsevier, vol. 28(3), pages 831-844, May.
    4. Frédéric Dufourt & Kazuo Nishimura & Alain Venditti, 2016. "Sunspot fluctuations in two-sector models: New results with additively separable preferences," International Journal of Economic Theory, The International Society for Economic Theory, vol. 12(1), pages 67-83, March.
    5. Busato, Francesco & Marchetti, Enrico, 2010. "Endogenous skill cycles," Research in Economics, Elsevier, vol. 64(3), pages 175-185, September.
    6. Frédéric Dufourt & Kazuo Nishimura & Alain Venditti, 2013. "Indeterminacy and Sunspot Fluctuations in Two-Sector RBC models: Theory and Calibration," AMSE Working Papers 1315, Aix-Marseille School of Economics, France, revised Nov 2009.
    7. Augeraud-Veron, Emmanuelle & Boucekkine, Raouf & Gozzi, Fausto & Venditti, Alain & Zou, Benteng, 2024. "Fifty years of mathematical growth theory: Classical topics and new trends," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    8. Ghiglino, Christian & Venditti, Alain, 2011. "Wealth distribution and output fluctuations," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2478-2509.
    9. Jean-Philippe Garnier, 2013. "Keeping-up with the Joneses, a new source of fluctuations in the two-sector continuous-time models," Working Papers hal-00991664, HAL.
    10. Takuma Kunieda & Kazuo Nishimura, 2020. "Does Financial Development Amplify Sunspot Fluctuations?," Discussion Paper Series 204, School of Economics, Kwansei Gakuin University.
    11. Nishimura, Kazuo & Venditti, Alain, 2010. "Indeterminacy and expectation-driven fluctuations with non-separable preferences," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 46-56, July.
    12. Christian Ghiglino & Alain Venditti, 2008. "The role of the wealth distribution on output volatility," Working Papers halshs-00281379, HAL.
    13. Carboni, Oliviero A. & Russu, Paolo, 2013. "Linear production function, externalities and indeterminacy in a capital-resource growth model," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 422-428.

    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. Jean‐Philippe Garnier & Kazuo Nishimura & Alain Venditti, 2007. "Intertemporal substitution in consumption, labor supply elasticity and sunspot fluctuations in continuous‐time models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 3(4), pages 235-259, December.
    2. Jean-Philippe Garnier, 2013. "Keeping-up with the Joneses, a new source of fluctuations in the two-sector continuous-time models," Working Papers hal-00991664, HAL.
    3. Nishimura, Kazuo & Venditti, Alain, 2010. "Indeterminacy and expectation-driven fluctuations with non-separable preferences," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 46-56, July.
    4. Guo, Jang-Ting & Lansing, Kevin J., 2009. "Capital-labor substitution and equilibrium indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 33(12), pages 1991-2000, December.
    5. Jang-Ting Guo & Kevin J. Lansing, 2008. "Capital-Labor Substitution, Equilibrium Indeterminacy, and the Cyclical Behavior of Labor Income," Working Papers 200804, University of California at Riverside, Department of Economics, revised Apr 2008.
    6. Mohanad ISMAEL & Francesco MAGRIS, 2008. "Indeterminacy with Externalities and Capital Utilization," EcoMod2008 23800053, EcoMod.
    7. Herrendorf, Berthold & Valentinyi, Akos, 2006. "On the stability of the two-sector neoclassical growth model with externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 30(8), pages 1339-1361, August.
    8. Frédéric Dufourt & Kazuo Nishimura & Alain Venditti, 2022. "Expectations, self-fulfilling prophecies and the business cycle," Working Papers hal-03923946, HAL.
    9. Frédéric Dufourt & Kazuo Nishimura & Alain Venditti, 2016. "Sunspot fluctuations in two-sector models: New results with additively separable preferences," International Journal of Economic Theory, The International Society for Economic Theory, vol. 12(1), pages 67-83, March.
    10. Barinci, Jean-Paul & Cheron, Arnaud, 2001. "Sunspots and the Business Cycle in a Finance Constrained Economy," Journal of Economic Theory, Elsevier, vol. 97(1), pages 30-49, March.
    11. Lloyd-Braga, Teresa & Nourry, Carine & Venditti, Alain, 2007. "Indeterminacy in dynamic models: When Diamond meets Ramsey," Journal of Economic Theory, Elsevier, vol. 134(1), pages 513-536, May.
    12. Wong, Tsz-Nga & Yip, Chong K., 2010. "Indeterminacy and the elasticity of substitution in one-sector models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 623-635, April.
    13. Drugeon, Jean-Pierre, 2008. "On intersectoral asymmetries in factors substitutability, "Equilibrium Production Possibility Frontiers" and the emergence of indeterminacies," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 277-315, February.
    14. Been-Lon Chen & Mei Hsu & Yu-Shan Hsu, 2018. "Progressive taxation and macroeconomic stability in two-sector models with social constant returns," Journal of Economics, Springer, vol. 125(1), pages 51-68, September.
    15. Takuma Kunieda & Kazuo Nishimura, 2023. "Capital Account Liberalization, Financial Frictions, and Belief-Driven Fluctuations," Discussion Paper Series 244, School of Economics, Kwansei Gakuin University.
    16. Lloyd-Braga, Teresa & Modesto, Leonor, 2007. "Indeterminacy in a finance constrained unionized economy," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 347-364, April.
    17. K. Nishimura & H. Takahashi & A. Venditti, 2006. "Endogenous Fluctuations in Two-Sector Models: Role of Preferences," Journal of Optimization Theory and Applications, Springer, vol. 128(2), pages 309-331, February.
    18. Teresa Lloyd‐Braga & Carine Nourry & Alain Venditti, 2006. "Indeterminacy with small externalities: The role of non‐separable preferences," International Journal of Economic Theory, The International Society for Economic Theory, vol. 2(3‐4), pages 217-239, September.
    19. Guo, Jang-Ting & Lansing, Kevin J., 2002. "Fiscal Policy, Increasing Returns, And Endogenous Fluctuations," Macroeconomic Dynamics, Cambridge University Press, vol. 6(5), pages 633-664, November.
    20. Kim, Jinill, 2005. "Does utility curvature matter for indeterminacy?," Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 421-429, August.

    More about this item

    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:eee:mateco:v:43:y:2007:i:3-4:p:446-476. 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/jmateco .

    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.