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Population growth and optimality: when does serendipity hold?

P Michel, P Pestieau

    Journal of Population Economics
    |January 1, 1993
    PubMed
    Summary
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    This study identifies conditions for optimal population growth rates in overlapping generations models. These conditions highlight complementarity in production and consumption, supporting Samuelson's serendipity theorem.

    Area of Science:

    • Economics
    • Demography
    • Mathematical Modeling

    Background:

    • Overlapping generations models are crucial for understanding intergenerational resource allocation and population dynamics.
    • The existence of an interior optimum population growth rate is a key question in economic demography.

    Purpose of the Study:

    • To determine the specific conditions that lead to an interior optimum rate of population growth within a two-generations-overlapping model.
    • To explore the implications of these conditions for production and consumption complementarity.
    • To validate Samuelson's serendipity theorem in this context.

    Main Methods:

    • The study employs a theoretical economic model with two overlapping generations.
    • Mathematical analysis is used to derive the conditions for an interior optimum population growth rate.
    Keywords:
    ConsumptionDemographic FactorsDemographyEconomic FactorsMacroeconomic FactorsMathematical ModelModels, TheoreticalOptimum PopulationPopulationPopulation DynamicsPopulation GrowthPopulation SizePopulation TheoryProductionResearch MethodologySocial SciencesWorld

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    Main Results:

    • The existence of an interior optimum population growth rate is contingent upon specific conditions.
    • These conditions necessitate complementarity in both production and consumption processes.
    • The findings provide empirical support for Samuelson's serendipity theorem.

    Conclusions:

    • Complementarity in production and consumption are essential for achieving an optimal population growth rate in overlapping generations models.
    • The study confirms the applicability of Samuelson's serendipity theorem under these economic conditions.
    • This research contributes to the understanding of economic demography and optimal resource management.