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Existence and stability of overconsumption equilibria

Gregory Ponthiere

PSE-Ecole d'économie de Paris (Postprint) from HAL

Abstract: Growth models with endogenous mortality assume generally that life expectancy is increasing with output per capita and, thus, with individual consumption, whatever its level is. However, empirical evidence supports a U-shaped relationship between consumption and mortality, implying that the monotonicity of that relation is local but not global. This paper develops a two-period OLG model where life expectancy is a non-monotone function of consumption, and where agents form myopic anticipations about life expectancy. The existence, uniqueness and stability of steady-state equilibria are studied. It is shown that overconsumption equilibria -- i.e. equilibria at which consumption exceeds the level maximizing life expectancy -- exist in highly productive economies with a low impatience. We identify also conditions under which there exist long-run cycles in output and longevity around overconsumption equilibria.

Keywords: Longevity; Mortality; Growth; Overconsumption; OLG model (search for similar items in EconPapers)
Date: 2011-03
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Citations: View citations in EconPapers (3)

Published in Economic Modelling, 2011, 28 (1-2), pp.74-90. ⟨10.1016/j.econmod.2010.09.022⟩

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Journal Article: Existence and stability of overconsumption equilibria (2011) Downloads
Journal Article: Existence and stability of overconsumption equilibria (2011) Downloads
Working Paper: Existence and stability of overconsumption equilibria (2011)
Working Paper: Existence and stability of overconsumption equilibria (2009) Downloads
Working Paper: Existence and stability of overconsumption equilibria (2009) Downloads
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Persistent link: https://EconPapers.repec.org/RePEc:hal:pseptp:halshs-00754548

DOI: 10.1016/j.econmod.2010.09.022

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