Indeterminacy with Small Externalities: The Role of Nonseparable Preferences

Working Paper: CEPR ID: DP5541

Authors: Teresa Lloyd-Braga; Carine Nourry; Alain Venditti

Abstract: In this paper we consider a Ramsey one-sector model with non-separable homothetic preferences, endogenous labour and productive external effects arising from average capital and labour. We show that indeterminacy cannot arise when there are only capital externalities but that it does when there are only labour external effects. We prove that sunspot fluctuations are fully consistent with small market imperfections and realistic calibrations for the elasticity of capital-labour substitution (including the Cobb-Douglas specification) provided the elasticity of intertemporal substitution in consumption and the elasticity of the labour supply are large enough.

Keywords: capital and labour externalities; endogenous cycles; endogenous labour supply; indeterminacy; infinite-horizon model

JEL Codes: C62; E32; O41


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
absence of labor externalities (J89)determinacy (D81)
labor externalities (J49)local indeterminacy (D89)
elasticity of intertemporal substitution in consumption and labor supply (D15)local indeterminacy (D89)
small labor external effects (J49)local indeterminacy (D89)
small market imperfections (D43)sunspot fluctuations (E32)
Cobb-Douglas technology + conditions (D24)local indeterminacy (D89)

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