IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-01457296.html
   My bibliography  Save this paper

Indeterminacy and sunspots in two-sector RBC models with generalized no-income-effect preferences

Author

Listed:
  • Frédéric Dufourt

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Kazuo Nishimura

    (KIER, Kyoto University - Kyoto University, RIEB, Kobe University - Kobe University)

  • Alain Venditti

    (Edhec Business School - Edhec - EDHEC - EDHEC Business School - UCL - Université catholique de Lille, GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

Abstract

We analyze sunspot-driven fluctuations in the standard two-sector \RBC\ model with moderate increasing returns to scale and generalized no-income-effect preferences à la Greenwood, Hercovitz and Huffman [13]. We provide a detailed theoretical analysis enabling us to derive relevant bifurcation loci and to characterize the steady-state local stability properties as a function of various structural parameters. We show that local indeterminacy occurs through flip and Hopf bifurcations for a large set of values for the elasticity of intertemporal substitution in consumption, provided that the labor supply is sufficiently inelastic. Finally, we provide a detailed quantitative analysis of the model. Computing, on a quarterly basis, a new set of empirical moments related to two broadly defined consumption and investment sectors, we are able to identify, among the set of admissible calibrations consistent with sunspot equilibria, the ones that provide the best fit of the data. The model properly calibrated solves several empirical puzzles traditionally associated with two-sector \RBC\ models.

Suggested Citation

  • Frédéric Dufourt & Kazuo Nishimura & Alain Venditti, 2015. "Indeterminacy and sunspots in two-sector RBC models with generalized no-income-effect preferences," Post-Print hal-01457296, HAL.
    • Handle: RePEc:hal:journl:hal-01457296
    DOI: 10.1016/j.jet.2015.03.005
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Guo, Jang-Ting & Harrison, Sharon G., 2010. "Indeterminacy with no-income-effect preferences and sector-specific externalities," Journal of Economic Theory, Elsevier, vol. 145(1), pages 287-300, January.
    2. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
    3. Benhabib, Jess & Farmer, Roger E. A., 1996. "Indeterminacy and sector-specific externalities," Journal of Monetary Economics, Elsevier, vol. 37(3), pages 421-443, June.
    4. Casey B. Mulligan, 2002. "Capital, Interest, and Aggregate Intertemporal Substitution," NBER Working Papers 9373, National Bureau of Economic Research, Inc.
    5. Edward C. Prescott & Johanna Wallenius, 2012. "Aggregate labor supply," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 35(Oct).
    6. Sharon G. Harrison, 2003. "Returns to Scale and Externalities in the Consumption and Investment Sectors," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 963-976, October.
    7. Rogerson, Richard & Wallenius, Johanna, 2009. "Micro and macro elasticities in a life cycle model with taxes," Journal of Economic Theory, Elsevier, vol. 144(6), pages 2277-2292, November.
    8. 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.
    9. 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.
    10. 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.
    11. Jaimovich, Nir, 2008. "Income effects and indeterminacy in a calibrated one-sector growth model," Journal of Economic Theory, Elsevier, vol. 143(1), pages 610-623, November.
    12. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    13. Meng, Qinglai & Yip, Chong Kee, 2008. "On indeterminacy in one-sector models of the business cycle with factor-generated externalities," Journal of Macroeconomics, Elsevier, vol. 30(1), pages 97-110, March.
    14. Farmer Roger E. A. & Guo Jang-Ting, 1994. "Real Business Cycles and the Animal Spirits Hypothesis," Journal of Economic Theory, Elsevier, vol. 63(1), pages 42-72, June.
    15. Kazuo Nishimura & Alain Venditti, 2012. "Indeterminacy in Discrete-Time Infinite-Horizon Models with Non-linear Utility and Endogenous Labor," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 363-400, Springer.
    16. Baxter, Marianne, 1996. "Are Consumer Durables Important for Business Cycles?," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 147-155, February.
    17. Grandmont, Jean-Michel, 2008. "Nonlinear difference equations, bifurcations and chaos: An introduction," Research in Economics, Elsevier, vol. 62(3), pages 122-177, September.
    18. Basu, Susanto & Fernald, John G, 1997. "Returns to Scale in U.S. Production: Estimates and Implications," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 249-283, April.
    19. 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.
    20. Jonathan Gruber, 2013. "A Tax-Based Estimate of the Elasticity of Intertemporal Substitution," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 3(01), pages 1-20.
    21. Harrison, Sharon G., 2001. "Indeterminacy in a model with sector-specific externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 25(5), pages 747-764, May.
    22. Greenwood, Jeremy & Hercowitz, Zvi & Huffman, Gregory W, 1988. "Investment, Capacity Utilization, and the Real Business Cycle," American Economic Review, American Economic Association, vol. 78(3), pages 402-417, June.
    23. Annette Vissing-Jørgensen & Orazio P. Attanasio, 2003. "Stock-Market Participation, Intertemporal Substitution, and Risk-Aversion," American Economic Review, American Economic Association, vol. 93(2), pages 383-391, May.
    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. Stephen McKnight & Laura Povoledo, 2022. "Endogenous fluctuations and international business cycles," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 55(1), pages 312-348, February.
    2. Frédéric Dufourt & Kazuo Nishimura & Carine Nourry & Alain Venditti, 2017. "Sunspot Fluctuations in Two-Sector Models with Variable Income Effects," Studies in Economic Theory, in: Kazuo Nishimura & Alain Venditti & Nicholas C. Yannelis (ed.), Sunspots and Non-Linear Dynamics, chapter 0, pages 71-96, Springer.
    3. Frédéric Dufourt & Kazuo Nishimura & Alain Venditti, 2022. "Expectations, self-fulfilling prophecies and the business cycle," Working Papers hal-03923946, HAL.
    4. Kazuo Nishimura & Florian Pelgrin & Alain Venditti, 2022. "Medium term endogenous fluctuations in three-sector optimal growth models," Working Papers hal-03923999, HAL.
    5. 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.
    6. Pelgrin, Florian & Venditti, Alain, 2022. "On the long-run fluctuations of inheritance in two-sector OLG models," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    7. 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.
    8. Abad, Nicolas & Venditti, Alain, 2021. "A Note On Balanced-Budget Income Taxes And Aggregate (In)Stability In Multi-Sector Economies," Macroeconomic Dynamics, Cambridge University Press, vol. 25(3), pages 824-843, April.
    9. Kevin x.d. Huang & Qinglai Meng & Jianpo Xue, 2019. "Capital Income Taxation and Aggregate Instability," Vanderbilt University Department of Economics Working Papers 19-00007, Vanderbilt University Department of Economics.
    10. Dufourt, Frédéric & Venditti, Alain & Vivès, Rémi, 2018. "On sunspot fluctuations in variable capacity utilization models," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 80-94.
    11. Takashi Kamihigashi, 2017. "Regime-Switching Sunspot Equilibria in a One-Sector Growth Model with Aggregate Decreasing Returns and Small Externalities," Studies in Economic Theory, in: Kazuo Nishimura & Alain Venditti & Nicholas C. Yannelis (ed.), Sunspots and Non-Linear Dynamics, chapter 0, pages 125-146, Springer.
    12. Yoichi Gokan, 2017. "Do Consumption Externalities Correspond to the Indivisible Tax Rates on Consumpiton?," CIRJE F-Series CIRJE-F-1041, CIRJE, Faculty of Economics, University of Tokyo.
    13. Kevin X.D. Huang & Qinglai Meng & Jianpo Xue, 2019. "Capital Income Taxation and Aggregate Instability," Vanderbilt University Department of Economics Working Papers 19-00007, Vanderbilt University Department of Economics.
    14. Boucekkine, Raouf & Seegmuller, Thomas & Venditti, Alain, 2021. "Advances in growth and macroeconomic dynamics: In memory of Carine Nourry," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 1-6.
    15. Takuma Kunieda & Kazuo Nishimura, 2020. "Does Financial Development Amplify Sunspot Fluctuations?," Discussion Paper Series 204, School of Economics, Kwansei Gakuin University.
    16. Been‐Lon Chen & Shun‐Fa Lee & Xavier Raurich, 2020. "Non‐separable utilities and aggregate instability," International Journal of Economic Theory, The International Society for Economic Theory, vol. 16(2), pages 222-237, June.
    17. Yoichi Gokan, 2017. "Do Consumption Externalities Correspond to the Indivisible Tax Rates on Consumpiton?," CIRJE F-Series CIRJE-F-1040, CIRJE, Faculty of Economics, University of Tokyo.

    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. Frederic Dufourt & Kazuo Nishimura & Alain Venditti, 2013. "Indeterminacy and sunspot fluctuations in two-sector RBC models: theory and calibration," Working Papers halshs-00796236, HAL.
    2. Frédéric Dufourt & Kazuo Nishimura & Alain Venditti, 2022. "Expectations, self-fulfilling prophecies and the business cycle," Working Papers hal-03923946, 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. 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. Frédéric Dufourt & Kazuo Nishimura & Carine Nourry & Alain Venditti, 2017. "Sunspot Fluctuations in Two-Sector Models with Variable Income Effects," Studies in Economic Theory, in: Kazuo Nishimura & Alain Venditti & Nicholas C. Yannelis (ed.), Sunspots and Non-Linear Dynamics, chapter 0, pages 71-96, Springer.
    6. Jang-Ting Guo & Sharon G. Harrison, 2015. "Indeterminacy with Progressive Taxation and Sector-Specific Externalities," Pacific Economic Review, Wiley Blackwell, vol. 20(2), pages 268-281, May.
    7. Dufourt, Frédéric & Venditti, Alain & Vivès, Rémi, 2018. "On sunspot fluctuations in variable capacity utilization models," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 80-94.
    8. Magris, Francesco, 2012. "Indeterminacy and multiple steady states with sector-specific externalities," Economic Modelling, Elsevier, vol. 29(6), pages 2664-2672.
    9. Guo, Jang-Ting & Harrison, Sharon G., 2010. "Indeterminacy with no-income-effect preferences and sector-specific externalities," Journal of Economic Theory, Elsevier, vol. 145(1), pages 287-300, January.
    10. Zhang, Yan, 2020. "Stabilization policy and indeterminacy in a small open economy," Economic Modelling, Elsevier, vol. 90(C), pages 159-167.
    11. Kazuo Nishimura & Carine Nourry & Thomas Seegmuller & Alain Venditti, 2013. "Destabilizing balanced-budget consumption taxes in multi-sector economies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 113-130, March.
    12. Jaimovich, Nir, 2007. "Firm dynamics and markup variations: Implications for sunspot equilibria and endogenous economic fluctuations," Journal of Economic Theory, Elsevier, vol. 137(1), pages 300-325, November.
    13. Been‐Lon Chen & Shun‐Fa Lee & Xavier Raurich, 2020. "Non‐separable utilities and aggregate instability," International Journal of Economic Theory, The International Society for Economic Theory, vol. 16(2), pages 222-237, June.
    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. Tarek Coury & Yi Wen, 2007. "Global indeterminacy in locally determinate RBC models," Working Papers 2007-029, Federal Reserve Bank of St. Louis.
    16. Kazuo Mino, 2017. "Sunspot-Driven Business Cycles: An Overview," KIER Working Papers 973, Kyoto University, Institute of Economic Research.
    17. Busato, Francesco & Marchetti, Enrico, 2010. "Endogenous skill cycles," Research in Economics, Elsevier, vol. 64(3), pages 175-185, September.
    18. 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.
    19. Stephen McKnight & Laura Povoledo, 2015. "Can indeterminacy and self-fulfilling expectations help explain international business cycles?," Working Papers 20151504, Department of Accounting, Economics and Finance, Bristol Business School, University of the West of England, Bristol.
    20. Jaimovich, Nir, 2008. "Income effects and indeterminacy in a calibrated one-sector growth model," Journal of Economic Theory, Elsevier, vol. 143(1), pages 610-623, November.

    More about this item

    Keywords

    indeterminacy; Real business cycles; Sector-specific externalities; Sunspots; Two-sector model;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

    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:hal:journl:hal-01457296. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.