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Indeterminacy and cycles in two-sector discrete-time model


  • Kazuo Nishimura

    () (Institute of Economic Research, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto 606, JAPAN)

  • Jess Benhabib

    (Department of Economics, New York University, 269 Mercer St., 7th Floor, New York City, NY 10003, USA)

  • Alain Venditti

    (CNRS - GREQAM, 2 rue de la Charité, 13002 Marseille, FRANCE)


We consider a discrete-time two-sector Cobb-Douglas economy with positive sector specific external effects. We show that indeterminacy of steady states and cycles can easily arise with constant or decreasing social returns to scale, and very small market imperfections. This is in sharp contrast with most of the contributions in the literature in which increasing social returns are required to generate indeterminacy.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:joecth:v:20:y:2002:i:2:p:217-235 Note: Received: July 31, 2000; revised version: June 5, 2001

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    References listed on IDEAS

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    Cited by:

    1. Nishimura, Kazuo & Venditti, Alain, 2002. "Intersectoral Externalities and Indeterminacy," Journal of Economic Theory, Elsevier, vol. 105(1), pages 140-157, July.
    2. Kazuo Mino & Kazuo Nishimura & Koji Shimomura & Ping Wang, 2008. "Equilibrium dynamics in discrete-time endogenous growth models with social constant returns," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(1), pages 1-23, January.
    3. Herrendorf, Berthold & Valentinyi, Akos, 2006. "On the stability of the two-sector neoclassical growth model with externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 30(8), pages 1339-1361, August.
    4. Aditya Goenka & Odile Poulsen, 2005. "Indeterminacy and labor augmenting externalities," Journal of Economics, Springer, vol. 10(1), pages 143-166, December.
    5. Thomas Seegmuller, 2004. "Endogenous Cycles in aTwo-sector Overlapping Generations Model under Intertemporal Substitutability," Annals of Economics and Statistics, GENES, issue 74, pages 131-146.
    6. Been-Lon Chen & Shun-Fa Lee, 2009. "General Fund Financing, Earmarking, Economic Stabilization, and Welfare," Public Finance Review, , vol. 37(5), pages 507-538, September.
    7. Drugeon, Jean-Pierre, 2008. "On intersectoral asymmetries in factors substitutability, "Equilibrium Production Possibility Frontiers" and the emergence of indeterminacies," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 277-315, February.
    8. 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.
    9. Jean-Pierre Drugeon, 2008. "On Intersectoral Asymmetries in Factors Substitutability “Equilibrium Production Possibility Frontiers” and the emergence of indeterminacies," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00182205, HAL.
    10. Jean-Philippe Garnier & Kazuo Nishimura & Alain Venditti, 2007. "Intertemporal substitution in consumption, labor supply elasticity and sunspot fluctuations in continuous-time models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 3(4), pages 235-259.
    11. Mohanad ISMAEL & Francesco MAGRIS, "undated". "Indeterminacy with Externalities and Capital Utilization," EcoMod2008 23800053, EcoMod.
    12. Kazuo Nishimura & Alain Venditti & Makoto Yano, 2010. "Expectation-driven fluctuations and welfare loss under free trade in two-country models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(1), pages 97-125.
    13. Jean-Pierre Drugeon, 2013. "On the emergence of competitive equilibrium growth cycles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 397-427, January.
    14. Stefano Bosi & Francesco Magris & Alain Venditti, 2007. "Sunspot Fluctuations in Two-sector Economies with Heterogeneous Agents," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(2), pages 311-331, November.
    15. Nishimura, Kazuo & Venditti, Alain, 2004. "Indeterminacy And The Role Of Factor Substitutability," Macroeconomic Dynamics, Cambridge University Press, vol. 8(04), pages 436-465, September.
    16. Nishimura, Kazuo & Venditti, Alain, 2007. "Indeterminacy in discrete-time infinite-horizon models with non-linear utility and endogenous labor," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 446-476, April.

    More about this item


    Sector specific externalities; Constant and decreasing social returns; Indeterminacy; Cycles.;

    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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