Demographic structure and overlapping generations: A simpler proof with more general conditions

Zhuojiong Gan and Sau-Him Paul Lau

Journal of Mathematical Economics, 2010, vol. 46, issue 3, 311-319

Abstract: d'Albis (2007) considers a continuous-time general equilibrium overlapping-generations model with age-specific mortality rates. His proof of the existence and uniqueness of the steady-state equilibrium, which can be extended to other overlapping-generations models, relies on the shape of a function that appears in the equation defining the equilibrium. By focusing on the mean age as a function of the stable population growth rate instead of the function used in d'Albis (2007), we provide a simpler proof with more general conditions. We also obtain useful properties about the first and second derivatives of the mean age function that can be applied in future work.

Keywords: Overlapping-generations; model; Age-specific; mortality; Steady-state; equilibrium; Mean; age; function (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:46:y:2010:i:3:p:311-319

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