Indeterminacy and Sunspot Fluctuations in Two-Sector RBC models: Theory and Calibration
AbstractWe analyze sunspot-driven fluctuations in the standard 2-sector RBC model with moderate increasing returns to scale. We provide a detailed theoretical analysis enabling us to derive relevant bifurcation loci and to characterize the steady-state local stability properties as a function of various structural parameters. With GHH preferences, we show that local indeterminacy occurs through flip and Hopf bifurcations for a large set of values of the elasticity of intertemporal substitution in consumption if the labor supply is sufficiently inelastic. With additively-separable preferences, we prove that local indeterminacy occurs through flip and Hopf bifurcations for any value of the elasticity of the labor supply, and can even be compatible with an arbitrarily low elasticity of intertemporal substitution in consumption. Finally, we provide a detailed quantitative analysis of the model. Computing, on a quarterly basis, a new set of empirical moments related to two broadly defined consumption and investment sectors, we are able to identify, among the set of admissible calibrations consistent with sunspot equilibria, the ones that provide the best fit of the data. The model properly calibrated solves several empirical puzzles traditionally associated with 2-sector RBC models.
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Date of creation: Feb 2013
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indeterminacy; sunspots; two-sector model; sector-specific externalities; real business cycles;
Other versions of this item:
- Frederic Dufourt & Kazuo Nishimura & Alain Venditti, 2013. "Indeterminacy and sunspot fluctuations in two-sector RBC models: theory and calibration," Working Papers halshs-00796236, HAL.
- 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, Marseille, France, revised Nov 2009.
- 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, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
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- Casey B. Mulligan, 2002. "Capital, Interest, and Aggregate Intertemporal Substitution," NBER Working Papers 9373, National Bureau of Economic Research, Inc.
- Baxter, Marianne, 1996. "Are Consumer Durables Important for Business Cycles?," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 147-55, February.
- Jean-Michel Grandmont & P, A, Pintus & R, De Vilder, 1997.
"Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles,"
97-28, Centre de Recherche en Economie et Statistique.
- 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.
- GRANDMONT, Jean-Michel & PINTUS, Patrick & de VILDER, Robin, 1997. "Capital-labor substitution and competitive nonlinear endogenous business cycles," CORE Discussion Papers 1997087, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Patrick-Antoine Pintus, 2009.
"Local Determinacy with Non-separable Utility,"
- 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.
- Kazuo Nishimura & Alain Venditti, 2010. "Indeterminacy and expectation-driven uctuations with non-separable preferences," KIER Working Papers 702, Kyoto University, Institute of Economic Research.
- Garnier, Jean-Philippe & Nishimura, Kazuo & Venditti, Alain, 2013.
"Local Indeterminacy In Continuous-Time Models: The Role Of Returns To Scale,"
Cambridge University Press, vol. 17(02), pages 326-355, March.
- Jean-Philippe Garnier & Kazuo Nishimura & Alain Venditti, 2008. "Local indeterminacy in continuous-time models: the role of returns to scale," Working Papers halshs-00281382, HAL.
- Jean-Philippe Garnier & Kazuo Nishimura & Alain Venditti, 2007.
"Intertemporal Substitution In Consumption, Labor Supply Elasticity And Sunspot Fluctuations In Continuous-Time Models,"
- 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.
- Kazuo Nishimura & Carine Nourry & Alain Venditti, 2008. "Indeterminacy in aggregate models with small externalities: an interplay between preferences and technology," Working Papers halshs-00281428, HAL.
- 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.
- Hintermaier, Thomas, 2003. "On the minimum degree of returns to scale in sunspot models of the business cycle," Journal of Economic Theory, Elsevier, vol. 110(2), pages 400-409, June.
- Jonathan Gruber, 2006. "A Tax-Based Estimate of the Elasticity of Intertemporal Substitution," NBER Working Papers 11945, National Bureau of Economic Research, Inc.
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