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Sunspot Fluctuations in Two-Sector Models with Variable Income Effects

In: Sunspots and Non-Linear Dynamics

Author

Listed:
  • Frédéric Dufourt

    (Aix-Marseille University (Aix-Marseille School of Economics)-CNRS-EHESS)

  • Kazuo Nishimura

    (Kobe University)

  • Carine Nourry

    (Aix-Marseille University (Aix-Marseille School of Economics)-CNRS-EHESS)

  • Alain Venditti

    (Aix-Marseille University (Aix-Marseille School of Economics)-CNRS-EHESS
    EDHEC Business School)

Abstract

We analyze a version of the Benhabib and Farmer (1996) two-sector model with sector-specific externalities in which we consider a class of utility functions inspired from the one considered in Jaimovich and Rebelo (2009) which is flexible enough to encompass varying degrees of income effect. First, we show that local indeterminacy and sunspot fluctuations occur in 2-sector models under plausible configurations regarding all structural parameters—in particular regarding the intensity of income effects. Second, we prove that there even exist some configurations for which local indeterminacy arises under any degree of income effect. More precisely, for any given size of income effect, we show that there is a non-empty range of values for the Frisch elasticity of labor and the elasticity of intertemporal substitution in consumption such that indeterminacy occurs. This contrasts with the results obtained in one-sector models in both Nishimura et al. (2009), in which it is shown that indeterminacy cannot occur under either GHH and KPR preferences, and in Jaimovich (2008) in which local indeterminacy only arises for intermediary income effects.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:steccp:978-3-319-44076-7_4
    DOI: 10.1007/978-3-319-44076-7_4
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    Cited by:

    1. Frédéric Dufourt & Kazuo Nishimura & Alain Venditti, 2023. "Expectations, beliefs and the business cycle: theoretical analysis," Working Papers hal-04311501, HAL.
    2. 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.
    3. 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.
    4. Frédéric Dufourt & Kazuo Nishimura & Alain Venditti, 2022. "Expectations, self-fulfilling prophecies and the business cycle," Working Papers hal-03923946, HAL.
    5. Frédéric Dufourt & Kazuo Nishimura & Alain Venditti, 2025. "Expectations, beliefs and the business cycle: tracing back to the deep economic drivers," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 79(1), pages 89-149, February.

    More about this item

    Keywords

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    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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