Macroeconomic (in)stability and endogenous market structure with productive government expenditure

We consider the congestion effect of productive government spending in a monopolistic competition model with endogenous entry, and analyze the possibility of local indeterminacy. Some main findings emerge from the analysis. First, the indeterminacy condition is independent of the monopoly power. Second, productive government expenditure can be a source of local indeterminacy, while a higher degree of public goods congestion lessens the beneficial effect of productive government expenditure, and therefore reduces the possibility of indeterminacy. Third, a higher degree of internal returns to scale is associated with a lower possibility for the emergence of indeterminacy when production externalities are present.

DEBT POLICY RULE, PRODUCTIVE GOVERNMENT SPENDING, AND MULTIPLE GROWTH PATHS: A NOTE

In a very interesting endogenous growth model, Futagami, Iwaisako, and Ohdoi [Macroeconomic Dynamics 12 (2008), 445–462] study the long-run growth effect of borrowing for public investment. Their model exhibits (i) the multiplicity of balanced growth paths (BGPs) in the long run (two steady states) and (ii) a possible indeterminacy of the transition path to the high-growth BGP. The goal of this note is to show that their results depend on a sharp assumption, namely the definition of the public debt target as a ratio to private capital. If the target is defined in terms of public debt–to–GDP ratio, both results vanish: the model exhibits a unique BGP (no multiplicity) and the adjustment path to this unique equilibrium is determinate (no indeterminacy).