Local indeterminacy under dynamic efficiency in a two-sector overlapping generations economy
Abstract We consider a two-sector two-periods overlapping generations model with inelastic labor, consumption in both periods of life and homothetic CES preferences. Assuming gross substitutability and a capital intensive consumption good, we prove that when dynamic efficiency holds, local indeterminacy and sunspot fluctuations occur with low enough values for the sectoral elasticities of capital-labor substitution and we illustrate this finding within a standard example. This result shows that some fiscal policy rules can prevent the existence of business-cycle fluctuations in the economy by driving it to the optimal steady state as soon as it is announced, and thus shows that Reichlin's (1986) influential conclusion is compatible with positive elasticities of capital-labor substitution in a two-sector OLG economy.
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- Cremers, Emily, 2006. "Dynamic Efficiency in the Two-Sector Overlapping Generations Model," Staff General Research Papers Archive 34856, Iowa State University, Department of Economics.
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- Jean-Pierre Drugeon & Carine Nourry & Alain Venditti, 2009. "On efficiency and local uniqueness in two-sector OLG economies," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00439241, HAL.
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- Galor, Oded, 1992. "A Two-Sector Overlapping-Generations Model: A Global Characterization of the Dynamical System," Econometrica, Econometric Society, vol. 60(6), pages 1351-86, November.
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