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Income Effects and Indeterminacy in a Calibrated One-Sector Growth Model

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  • Nir Jaimovich

    (Stanford University)

Abstract

This paper analyzes how the indeterminacy of competitive equilibrium in one-sector growth models depends on the magnitude of the households' income effect on the demand for leisure. The paper first establishes that the presence of income effect is necessary for the existence of an indeterminate equilibrium. I incorporate into this analysis the Jaimovich and Rebelo (2006) preferences that nest the KPR and GHH utility functions and span the entire range of income effect that exists between the two. Having identified these regions of indeterminacy, I find a lower and an upper bound for the magnitude of income effect that leads to indeterminacy. Moreover, by allowing for variation in the degree of income effect, I find that indeterminacy can occur for levels of aggregate-returns-to-scale that are well within recent empirical estimates. Finally, for these regions of indeterminacy, I simulate the model driven solely by sunspot shocks. I find that the second-moment properties of this model are generally consistent with the U.S. data at the business cycle frequency.

Suggested Citation

  • Nir Jaimovich, 2005. "Income Effects and Indeterminacy in a Calibrated One-Sector Growth Model," Discussion Papers 07-012, Stanford Institute for Economic Policy Research, revised Mar 2007.
  • Handle: RePEc:sip:dpaper:07-012
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    References listed on IDEAS

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    Blog mentions

    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Sunspots and Credit Frictions
      by Christian Zimmermann in NEP-DGE blog on 2010-01-25 09:20:38

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    Cited by:

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    2. 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.
    3. Dufourt, Frédéric & Lloyd-Braga, Teresa & Modesto, Leonor, 2009. "Expected Inflation, Sunspots Equilibria and Persistent Unemployment Fluctuations," IZA Discussion Papers 4302, Institute of Labor Economics (IZA).
    4. 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.
    5. Nourry, Carine & Seegmuller, Thomas & Venditti, Alain, 2013. "Aggregate instability under balanced-budget consumption taxes: A re-examination," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1977-2006.
    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. Yan Zhang, 2020. "Home Production and Indeterminacy with Variable Income Effects," Annals of Economics and Finance, Society for AEF, vol. 21(1), pages 153-172, May.
    8. Manjira Datta & Kevin Reffett & Łukasz Woźny, 2018. "Comparing recursive equilibrium in economies with dynamic complementarities and indeterminacy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(3), pages 593-626, October.
    9. 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.
    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. Benhabib, Jess & Dong, Feng & Wang, Pengfei, 2018. "Adverse selection and self-fulfilling business cycles," Journal of Monetary Economics, Elsevier, vol. 94(C), pages 114-130.
    12. Zuzana Mucka & Michal Horvath, 2015. "Fiscal Policy Matters A New DSGE Model for Slovakia," Discussion Papers Discussion Paper No. 1/20, Council for Budget Responsibility.
    13. Kazuo Mino, 2017. "Sunspot-Driven Business Cycles: An Overview," KIER Working Papers 973, Kyoto University, Institute of Economic Research.
    14. 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.
    15. 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.
    16. Daniel R. Carroll & Eric R. Young, 2009. "A note on sunspots with heterogeneous agents," Working Papers (Old Series) 0906, Federal Reserve Bank of Cleveland.

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    More about this item

    Keywords

    Indeterminate Equilibria; Utility Function; Sunspot Shocks; Business Cycles;
    All these keywords.

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis

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