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Endogenous Fluctuations in Two-Sector Models: Role of Preferences

Author

Listed:
  • K. Nishimura

    (Kyoto University)

  • H. Takahashi

    (Meiji Gakuin University)

  • A. Venditti

    (CNRS - GREQAM)

Abstract

We consider a discrete-time two-sector CES (constant elasticity of substitution) economy with sector specific external effects and nonlinear preferences. Our goal is to examine carefully the influence of the utility curvature on the occurrence of multiple equilibria. We show that local indeterminacy depends on an interplay between factor substitutability and the elasticity of intertemporal substitution in consumption. Moreover, considering that, when the external effects are set equal to zero, we get a two-sector optimal growth model, we study also the role of the utility curvature on the occurrence of competitive equilibrium cycles. We show that persistent endogenous fluctuations and macroeconomic volatility require a strong enough elasticity of intertemporal substitution in consumption.

Suggested Citation

  • K. Nishimura & H. Takahashi & A. Venditti, 2006. "Endogenous Fluctuations in Two-Sector Models: Role of Preferences," Journal of Optimization Theory and Applications, Springer, vol. 128(2), pages 309-331, February.
    • Handle: RePEc:spr:joptap:v:128:y:2006:i:2:d:10.1007_s10957-006-9025-8
    DOI: 10.1007/s10957-006-9025-8
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    1. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
    2. Boldrin, Michele & Rustichini, Aldo, 1994. "Growth and Indeterminacy in Dynamic Models with Externalities," Econometrica, Econometric Society, vol. 62(2), pages 323-342, March.
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    5. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    6. Kazuo Nishimura & Jess Benhabib & Alain Venditti, 2002. "Indeterminacy and cycles in two-sector discrete-time model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 217-235.
    7. Kim, Jinill, 2005. "Does utility curvature matter for indeterminacy?," Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 421-429, August.
    8. Jess Benhabib & Kazuo Nishimura, 2012. "Indeterminacy and Sunspots with Constant Returns," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 311-346, Springer.
    9. Jess Benhabib & Kazuo Nishimura, 2012. "Competitive Equilibrium Cycles," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 75-96, Springer.
    10. Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October.
    11. Benhabib, Jess & Farmer, Roger E.A., 1999. "Indeterminacy and sunspots in macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 6, pages 387-448, Elsevier.
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    Cited by:

    1. Ghiglino, Christian & Venditti, Alain, 2007. "Wealth inequality, preference heterogeneity and macroeconomic volatility in two-sector economies," Journal of Economic Theory, Elsevier, vol. 135(1), pages 414-441, July.
    2. 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.
    3. 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.
    4. Venditti, Alain, 2005. "The two sector overlapping generations model: A simple formulation," Research in Economics, Elsevier, vol. 59(2), pages 164-188, June.
    5. Christian Ghiglino & Alain Venditti, 2008. "The role of the wealth distribution on output volatility," Working Papers halshs-00281379, HAL.

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