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Existence and stability of overconsumption equilibria

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  • Grégory Ponthière

    (PSE - Paris School of Economics, PJSE - Paris-Jourdan Sciences Economiques - ENS Paris - École normale supérieure - Paris - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique)

Abstract

Growth models with endogenous mortality assume generally that life expectancy is increasing with output per capita, and, thus, with individual consumption, whatever the consumption level is. However, empirical evidence on the effect of overconsumption and obesity on mortality tends to question that postulate. This paper develops a two-period OLG model where life expectancy is a non-monotonic function of consumption. 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. Stability analysis highlights conditions under which there exist non-converging cycles in output and longevity around overconsumption equilibria.

Suggested Citation

  • Grégory Ponthière, 2009. "Existence and stability of overconsumption equilibria," PSE Working Papers halshs-00575015, HAL.
  • Handle: RePEc:hal:psewpa:halshs-00575015
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00575015
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    Cited by:

    1. Pierre Pestieau & Gregory Ponthiere, 2012. "The Public Economics of Increasing Longevity," Hacienda Pública Española, IEF, vol. 200(1), pages 41-74, March.
    2. Pierre Pestieau & Grégory Ponthière, 2012. "The public economics of increasing longevity," Working Papers halshs-00676492, HAL.
    3. Gahramanov, Emin, 2013. "Survival misperception, time inconsistency, and implications for life-cycle saving and welfare," Economic Modelling, Elsevier, vol. 32(C), pages 539-550.
    4. Naimzada, Ahmad & Pireddu, Marina, 2016. "Endogenous evolution of heterogeneous consumers preferences: Multistability and coexistence between groups," Economics Letters, Elsevier, vol. 142(C), pages 22-26.

    More about this item

    Keywords

    longevity; growth; overconsumption; obesity; OLG model; longévité; croissance; surconsommation; obésité; modèle à générations imbriquées;

    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior

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