Competitive Growth In A Life-Cycle Model: Existence And Dynamics
AbstractThe 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. Copyright � (2009) by the Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.
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Bibliographic InfoArticle provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.
Volume (Year): 50 (2009)
Issue (Month): 2 (05)
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Other versions of this item:
- Hippolyte D'Albis & Emmanuelle Augeraud-Véron, 2009. "Competitive Growth in a Life-cycle Model: Existence and Dynamics," Post-Print hal-00630459, HAL.
- D'ALBIS Hippolyte & AUGERAUD-VERON Emmannuelle, 2007. "Competitive Growth in a Life-cycle Model: Existence and Dynamics," LERNA Working Papers 07.19.240, LERNA, University of Toulouse.
- Hippolyte d'Albis & Emmanuelle Augeraud-Veron, 2004. "Competitive growth in a life-cycle model : existence and dynamics," Cahiers de la Maison des Sciences Economiques v04016, Université Panthéon-Sorbonne (Paris 1).
- D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
- D90 - Microeconomics - - Intertemporal Choice - - - General
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