Determinacy with Capital Adjustment Costs and Sector Specific Externalities

Working Paper: CEPR ID: DP2665

Authors: Berthold Herrendorf; Akos Valentinyi

Abstract: This Paper explores the stability properties of the steady state in the standard two-sector real business cycle model with a sector-specific externality in the capital-producing sector. When the steady state is stable then equilibrium is indeterminate and stable sunspots are possible. We find that capital adjustment costs of any size preclude stable sunspots for every empirically plausible specification of the model parameters. More specifically, we show that when capital adjustment costs of any size are considered, a necessary condition for the existence of stable sunspots is an upward-sloping labour demand curve in the capital-producing sector, which in turn requires an implausibly strong externality. This result contrasts sharply with the standard result that when we abstract from capital adjustment costs, stable sunspots occur in the two-sector model for a wide range of plausible parameter values.

Keywords: capital adjustment costs; determinacy; indeterminacy; sector specific externalities; sunspots

JEL Codes: E0; E3


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
Capital adjustment costs (G31)Labor demand curve (J23)
Labor demand curve (J23)Stable sunspots (C62)
Capital adjustment costs (G31)Stable sunspots (C62)
Large capital adjustment costs (G31)Self-fulfilling business cycles (E32)
Strong externality (D62)Upward-sloping labor demand curve (J29)

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