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Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles

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  • Jean-Michel Grandmont

    (Crest)

  • P. Pintus

    (Crest)

  • R, De Vilder

    (Crest)

Abstract

We develop in this paper simple geometrical methods to study local indeterminacy, bifurcations and stochastic (sunspot) equilibria near a steady state, in nonlinear two dimensional economic models. We present stochastic sunspot equilibria, which allows a constructive description of local bifurcations. The latter analysis is relevant when some eigenvalues of the linearized dynamics, near the steady state, have a modulus close to one (“unit root(s)”), as taking into account small nonlinearities generates linear local approximation. These methods are applied to a simple aggregative model (Woodford (JET, 1986)), to study in particular the influence of capital-labor substitution and of the aggregate labor supply wage elasticiy, on the occurrence of competitive endogenous deterministic or stochastic fluctuations.
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Suggested Citation

  • Jean-Michel Grandmont & P. Pintus & R, De Vilder, 1997. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Working Papers 97-28, Center for Research in Economics and Statistics.
    • Handle: RePEc:crs:wpaper:97-28
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    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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