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Indeterminacy in Discrete-Time Infinite-Horizon Models with Non-linear Utility and Endogenous Labor

In: Nonlinear Dynamics in Equilibrium Models

Author

Listed:
  • Kazuo Nishimura

    (Kyoto University)

  • Alain Venditti

    (CNRS-GREQAM and EDHEC)

Abstract

Over the last decade, a large number of papers have established the fact that locally indeterminate equilibria and sunspots fluctuations may arise in infinite-horizon growth models with external effects in production. These contributions also show that there exist significant differences between one-sector and two-sector models. As initially established by Benhabib and Farmer (1994), in one-sector models local indeterminacy requires some increasing returns based on externalities coming from capital and more importantly labor, a strongly elastic labor supply, and a large enough elasticity of intertemporal substitution in consumption which may however remain within plausible intervals.

Suggested Citation

  • Kazuo Nishimura & Alain Venditti, 2012. "Indeterminacy in Discrete-Time Infinite-Horizon Models with Non-linear Utility and Endogenous Labor," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 363-400, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-22397-6_15
    DOI: 10.1007/978-3-642-22397-6_15
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    Cited by:

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    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. Takuma Kunieda & Kazuo Nishimura, 2023. "Capital Account Liberalization, Financial Frictions, and Belief-Driven Fluctuations," Discussion Paper Series 244, School of Economics, Kwansei Gakuin University.
    4. Busato, Francesco & Marchetti, Enrico, 2010. "Endogenous skill cycles," Research in Economics, Elsevier, vol. 64(3), pages 175-185, September.
    5. 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.
    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. 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.
    8. Ghiglino, Christian & Venditti, Alain, 2011. "Wealth distribution and output fluctuations," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2478-2509.
    9. Busato, Francesco & Chiarini, Bruno & Marchetti, Enrico, 2011. "Indeterminacy, underground activities and tax evasion," Economic Modelling, Elsevier, vol. 28(3), pages 831-844, May.
    10. Kunieda, Takuma & Nishimura, Kazuo, 2025. "Capital account liberalization, production heterogeneity, and belief-driven fluctuations in financial-constrained economies," Journal of Macroeconomics, Elsevier, vol. 86(C).
    11. Jean-Philippe Garnier, 2013. "Keeping-up with the Joneses, a new source of fluctuations in the two-sector continuous-time models," Working Papers hal-00991664, HAL.
    12. Takuma Kunieda & Kazuo Nishimura, 2020. "Does Financial Development Amplify Sunspot Fluctuations?," Discussion Paper Series 204, School of Economics, Kwansei Gakuin University.
    13. 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.
    14. Christian Ghiglino & Alain Venditti, 2008. "The role of the wealth distribution on output volatility," Working Papers halshs-00281379, HAL.
    15. Augeraud-Veron, Emmanuelle & Boucekkine, Raouf & Gozzi, Fausto & Venditti, Alain & Zou, Benteng, 2024. "Fifty years of mathematical growth theory: Classical topics and new trends," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    16. Carboni, Oliviero A. & Russu, Paolo, 2013. "Linear production function, externalities and indeterminacy in a capital-resource growth model," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 422-428.

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