This paper extends public spending-based growth theory along three directions: we assume a logistic trajectory for the ratio of government expenditure to aggregate income, self-limiting population change, and exogenous technological progress. By focusing on the choices of a benevolent social planner we find that, if the inverse of the intertemporal elasticity of substitution in consumption is sufficiently high, the ratio of consumption to private physical capital converges towards zero when time goes to infinity. Depending on the form of the underlying aggregate production function and on whether, for given production function, technological progress equals zero or a positive constant, our model may or may not yield an asymptotically balanced growth path (ABGP) equilibrium. When there is no exogenous technological progress, an equilibrium where population size, the ratio of government spending to aggregate income and the ratio of consumption to private physical capital are all constant does exist and the equilibrium is a saddle point. In case of positive technological progress numerical simulations show that the model still exhibits an ABGP equilibrium.

Government spending and growth in second-best economies / A. Bucci, M. Florio, D. La Torre. - In: ECONOMIC MODELLING. - ISSN 0264-9993. - 29:3(2012 May), pp. 654-663.

Government spending and growth in second-best economies

A. Bucci
Primo
;
M. Florio
Secondo
;
D. La Torre
Ultimo
2012

Abstract

This paper extends public spending-based growth theory along three directions: we assume a logistic trajectory for the ratio of government expenditure to aggregate income, self-limiting population change, and exogenous technological progress. By focusing on the choices of a benevolent social planner we find that, if the inverse of the intertemporal elasticity of substitution in consumption is sufficiently high, the ratio of consumption to private physical capital converges towards zero when time goes to infinity. Depending on the form of the underlying aggregate production function and on whether, for given production function, technological progress equals zero or a positive constant, our model may or may not yield an asymptotically balanced growth path (ABGP) equilibrium. When there is no exogenous technological progress, an equilibrium where population size, the ratio of government spending to aggregate income and the ratio of consumption to private physical capital are all constant does exist and the equilibrium is a saddle point. In case of positive technological progress numerical simulations show that the model still exhibits an ABGP equilibrium.
Dynamics; Economic growth; Government expenditure; Logistic process; Population change; Technological progress
Settore SECS-P/01 - Economia Politica
Settore SECS-P/03 - Scienza delle Finanze
Settore SECS-S/06 - Metodi mat. dell'economia e Scienze Attuariali e Finanziarie
mag-2012
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/177559
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