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Continuous vs Discrete Time Modelling in Growth and Business Cycle Theory

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Licandro, Omar and Puch, Luis A. and Ruiz, Jesus (2018) Continuous vs Discrete Time Modelling in Growth and Business Cycle Theory. [ Documentos de trabajo del Instituto Complutense de Análisis Económico (ICAE); nº 28, 2018, ISSN: 2341-2356 ]

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Abstract

Economists model time as continuous or discrete. For long, either alternative has brought about relevant economic issues, from the implementation of the basic Solow and Ramsey models of growth and the business cycle, towards the issue of equilibrium indeterminacy and endogenous cycles. In this paper, we introduce to some of those relevant issues in economic dynamics. First, we describe a baseline continuous vs discrete time modelling setting relevant for questions in growth and business cycle theory. Then we turn to the issue of local indeterminacy in a canonical model of economic growth with a pollution externality whose size is related to the model period. Finally, we propose a growth model with delays to show that a discrete time representation implicitly imposes a particular form of time–to–build to the continuous time representation. Our approach suggests that the recent literature on continuous time models with delays should help to bridge the gap between continuous and discrete time representations in economic dynamics.


Item Type:Working Paper or Technical Report
Uncontrolled Keywords:Discrete Time, Continuous Time, Solow model, Ramsey model, Indeterminacy, Time–to–Build, Delay Differential Equations.
Subjects:Social sciences > Economics > Economic development
Social sciences > Economics > Macroeconomics
JEL:O40, Q50, E10, E22
Series Name:Documentos de trabajo del Instituto Complutense de Análisis Económico (ICAE)
Volume:2018
Number:28
ID Code:50175
Deposited On:23 Nov 2018 09:18
Last Modified:23 Nov 2018 09:18

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