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Endogenous Business Cycles and Dynamic Inefficiency

Author

Listed:
  • Guido Cazzavillan

    (Department of Economics, University Of Venice Ca� Foscari)

  • Patrick Pintus

    (Universit� de la M�diterran�e and GREQAM-IDEP, France)

Abstract

This paper explores how the occurrence of local indeterminacy and endogenous business cycles relates to dynamic inefficiency, as defined by Malinvaud (1953), Phelps (1965) and Cass (1972). We follow Reichlin (1986) and Grandmont (1993) by considering a two-period OLG model of capital accumulation with labor-leisure choice into the first-period of agents� life and consumption in both periods. We first show that local indeterminacy and Hopf bifurcation are necessarily associated with a capital-labor ratio that is, at steady state, larger than the Golden Rule level. Consequently, paths converging asymptotically towards the steady state are shown to be dynamically inefficient, as there always exists another trajectory that starts with the same initial conditions and produces more aggregate consumption at all future dates. More surprising, however, is our main result showing that stable orbits, generated around a dynamically inefficient steady state through a supercritical Hopf bifurcation, may, in contrast, be dynamically efficient.

Suggested Citation

  • Guido Cazzavillan & Patrick Pintus, 2006. "Endogenous Business Cycles and Dynamic Inefficiency," Working Papers 2006_37, Department of Economics, University of Venice "Ca' Foscari".
  • Handle: RePEc:ven:wpaper:2006_37
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    References listed on IDEAS

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    1. Cass, David, 1972. "On capital overaccumulation in the aggregative, neoclassical model of economic growth: A complete characterization," Journal of Economic Theory, Elsevier, vol. 4(2), pages 200-223, April.
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    12. Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
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    15. Samuelson, Larry, 1980. "The Golden Rule with Endogenous Labor Participation Rate," American Economic Review, American Economic Association, vol. 70(4), pages 752-755, September.
    16. Cazzavillan, Guido & Pintus, Patrick A., 2006. "Capital externalities in OLG economies," Journal of Economic Dynamics and Control, Elsevier, vol. 30(7), pages 1215-1231, July.
    17. Benveniste, Lawrence M., 1976. "A complete characterization of efficiency for a general capital accumulation model," Journal of Economic Theory, Elsevier, vol. 12(2), pages 325-337, April.
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    19. d ASPREMONT, Claude, & DOS SANTOS FERREIRA , Rodolphe & GERARD-VARET , Louis-André, 1994. "Market Power, Coordination Failures and Endogenous Fluctuations," LIDAM Discussion Papers CORE 1994068, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Hartwig, Johannes, 2022. "Semi-endogenous growth dynamics in a macroeconomic model with delays," Structural Change and Economic Dynamics, Elsevier, vol. 62(C), pages 538-551.
    2. Drugeon, Jean-Pierre & Nourry, Carine & Venditti, Alain, 2010. "On efficiency and local uniqueness in two-sector OLG economies," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 120-144, January.
    3. Nourry, Carine & Venditti, Alain, 2011. "Local indeterminacy under dynamic efficiency in a two-sector overlapping generations economy," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 164-169, March.
    4. Cazzavillan, Guido & Pintus, Patrick, 2007. "Dynamic inefficiency in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 137(1), pages 754-759, November.

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    More about this item

    Keywords

    Overlapping generations; endogenous labor supply; multiple equilibria; endogenous fluctuations; dynamic inefficiency;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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