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Income effects and indeterminacy in a calibrated one-sector growth model

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  • Jaimovich, Nir

Abstract

This note 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. Since I am interested in quantitatively characterizing regions of indeterminacy, I use the Jaimovich and Rebelo [N. Jaimovich, S. Rebelo, Can news about the future drive the business cycle? Mimeo, Northwestern University, 2007] preferences that span a wide range of income effect values. I find that indeterminacy can occur for levels of aggregate-returns-to-scale that are well within recent empirical estimates. For these regions of indeterminacy, the model, when driven solely by sunspot shocks, generates second-moment properties that are consistent with the U.S. data at the business cycle frequency.

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  • 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.
  • Handle: RePEc:eee:jetheo:v:143:y:2008:i:1:p:610-623
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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:

    1. Susanto Basu & Brent Bundick, 2017. "Uncertainty Shocks in a Model of Effective Demand," Econometrica, Econometric Society, vol. 85, pages 937-958, May.
    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. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Kazuo Mino, 2017. "Sunspot-Driven Business Cycles: An Overview," KIER Working Papers 973, Kyoto University, Institute of Economic Research.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    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;

    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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