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Indeterminacy and Sunspots in Two-Sector RBC Models with Generalized No-Income-Effect Preferences

Author

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  • Frédéric Dufourt

    (Aix-Marseille UniversitÈ (Aix-Marseille School of Economics), CNRS-GREQAM & EHESS and Institut Universitaire de France)

  • Kazuo Nishimura

    (RIEB, Kobe University & KIER, Kyoto University)

  • Alain Venditti

    (Aix-Marseille University (Aix-Marseille School of Economics), CNRS-GREQAM, EHESS & EDHEC)

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," AMSE Working Papers 1514, Aix-Marseille School of Economics, France.
    • Handle: RePEc:aim:wpaimx:1514
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    Cited by:

    1. Kazuo Nishimura & Florian Pelgrin & Alain Venditti, 2022. "Medium term endogenous fluctuations in three-sector optimal growth models," Working Papers hal-03923999, HAL.
    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. 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.
    4. 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.
    5. 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.
    6. 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.
    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. 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.
    9. 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.
    10. 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.
    11. 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).
    12. 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.
    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. 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.
    15. 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.
    16. Frédéric Dufourt & Kazuo Nishimura & Alain Venditti, 2022. "Expectations, self-fulfilling prophecies and the business cycle," Working Papers hal-03923946, HAL.
    17. 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.
    18. Takuma Kunieda & Kazuo Nishimura, 2020. "Does Financial Development Amplify Sunspot Fluctuations?," Discussion Paper Series 204, School of Economics, Kwansei Gakuin University.

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    More about this item

    Keywords

    Indeterminacy; sunspots; two-sector model; sector-specific externalities; real business cycles;
    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

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