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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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    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. 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.
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    Citations

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    Cited by:

    1. repec:kap:jeczfn:v:125:y:2018:i:1:d:10.1007_s00712-018-0596-2 is not listed on IDEAS
    2. 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.
    3. 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.
    4. repec:eee:mateco:v:76:y:2018:i:c:p:80-94 is not listed on IDEAS
    5. Frédéric Dufourt & Kazuo Nishimura & Carine Nourry & Alain Venditti, 2015. "Sunspot Fluctuations in Two-Sector Models with Variable Income Effects," Working Papers halshs-01269951, HAL.
    6. 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.
    7. 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.
    8. 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.
    9. Nicolas Abad & Alain Venditti, 2018. "A Note on Balanced-Budget Income Taxes and Aggregate (In)Stability in Multi-Sector Economies," Working Papers halshs-01934782, HAL.
    10. 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.
    11. Takashi Kamihigashi, 2015. "Regime-Switching Sunspot Equilibria in a One-Sector Growth Model with Aggregate Decreasing Returns and Small Externalities," Discussion Paper Series DP2015-42, Research Institute for Economics & Business Administration, Kobe University.

    More about this item

    Keywords

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

    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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