Competitive Growth in a Life-cycle Model: Existence and Dynamics

Hippolyte d'Albis and Emmanuelle Augeraud-Véron

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Abstract: The dynamic behavior of the capital growth rate is analyzed using an overlapping-generations model with continuous trading. Assuming a technology satisfying constant social returns to capital, the equilibrium growth rate is piecewise-defined by functional differential equations with both delayed and advanced terms. The main result concerns the existence of a solution expressed as a series of exponentials, which is shown to crucially depend on the initial wealth distribution among cohorts. Upon existence, the dynamics of the capital growth rate has a saddle-point trajectory that converges to a unique steady state. Along the transition path, the growth rate exhibits exponentially decreasing oscillations.

Keywords: OVERLAPPING GENERATIONS MODELS; ENDOGENOUS GROWTH; FUNCTIONAL DIFFERENTIAL EQUATIONS OF MIXED TYPE (search for similar items in EconPapers)
Date: 2009-05
Note: View the original document on HAL open archive server: https://hal.science/hal-00630459v1
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Citations: View citations in EconPapers (26)

Published in International Economic Review, 2009, 50 (2), pp.459-484. ⟨10.1111/j.1468-2354.2009.00537.x⟩

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Related works:
Journal Article: COMPETITIVE GROWTH IN A LIFE-CYCLE MODEL: EXISTENCE AND DYNAMICS (2009)
Working Paper: Competitive Growth in a Life-cycle Model: Existence and Dynamics (2007)
Working Paper: Competitive growth in a life-cycle model: existence and dynamics (2004)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00630459

DOI: 10.1111/j.1468-2354.2009.00537.x

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