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How powerful is demography? The Serendipity Theorem revisited

David de la Croix, Pierre Pestieau and Gregory Ponthiere

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

Abstract: Introduced by Samuelson (Int Econ Rev 16(3):531-538, 1975), the Serendipity Theorem states that the competitive economy will converge towards the optimum steady-state provided the optimum fertility rate is imposed. This paper aims at exploring whether the Serendipity Theorem still holds in an economy with risky lifetime. We show that, under general conditions, including a perfect annuity market with actuarially fair return, imposing the optimum fertility rate and the optimum survival rate leads the competitive economy to the optimum steady state. That Extended Serendipity Theorem is also shown to hold in economies where old adults work some fraction of the old age, whatever the retirement age is fixed or chosen by the agents.

Keywords: Fertility; Mortality; Overlapping generations (search for similar items in EconPapers)
Date: 2012-07
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Citations: View citations in EconPapers (23)

Published in Journal of Population Economics, 2012, 25 (3), pp.899-922. ⟨10.1007/s00148-011-0362-z⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:pseptp:halshs-00754584

DOI: 10.1007/s00148-011-0362-z

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