Indeterminacy and multiple steady states with sector-specific externalities
Francesco Magris
Economic Modelling, 2012, vol. 29, issue 6, 2664-2672
Abstract:
This paper studies a two-sector model with aggregate and sector-specific external effects in production and inelastic labor supply. We first characterize the existence, uniqueness and multiplicity of the steady states as well as their welfare properties. We particularly focus on the CES production functions and show that the steady state is generically either unique or there are exactly two. A simple geometrical methodology enables us to characterize the local dynamics of the steady state. We show that in order to get indeterminacy, the presence of both aggregate and sector-specific external effects is needed, along with low capital–labor elasticities of substitution and high, but bounded from above, elasticities in intertemporal consumption. We perform a sensitivity analysis and show that indeterminacy emerges for parameter values in line with those used in calibrations of standard RBC models, that is for unitary elasticities of input substitution and of intertemporal substitution in consumption.
Keywords: Two-sector models; Externalities; Steady states; Indeterminacy (search for similar items in EconPapers)
JEL-codes: C62 E32 O41 (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecmode:v:29:y:2012:i:6:p:2664-2672
DOI: 10.1016/j.econmod.2012.09.005
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