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Two-Sex Demographic Models

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Author Info
Pollak, Robert A

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Abstract

Classical stable population theory, the standard model of population age structure and growth, is ill suited to addressing many issues that concern economists and demographers because it is a "one-sex" theory. This paper investigates the existence, uniqueness, and dynamic stability of equilibrium in the birth matrix-mating rule model, a new model of age structure and growth for two-sex, monogamously mating, populations. The paper shows, by means of examples, that the birth matrix-mating rule model can have multiple nontrivial equilibria and establishes sufficient conditions for uniqueness. It generalizes a theorem of W. Brian Arthur to nonlinear systems and uses it to establish sufficient conditions for local dynamic stability. Copyright 1990 by University of Chicago Press.

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Publisher Info
Article provided by University of Chicago Press in its journal Journal of Political Economy.

Volume (Year): 98 (1990)
Issue (Month): 2 (April)
Pages: 399-420
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Handle: RePEc:ucp:jpolec:v:98:y:1990:i:2:p:399-420

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  1. Chambers, Christopher P. & Echenique, Federico, 2008. "The core matchings of markets with transfers," Working Papers 1298, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  2. Rune Johansen and John K. Dagsvik, 1999. "The Dynamics of a Behavioral Two-Sex Demographic Model," Discussion Papers 247, Research Department of Statistics Norway. [Downloadable!]
  3. Robert A. Pollak, 2002. "An Intergenerational Model of Domestic Violence," NBER Working Papers 9099, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  4. Sudeshna Maitra, 2006. "Population Growth and Rising Dowries: The Long-Run Mechanism of a Marriage Squeeze," Working Papers 2006_9, York University, Department of Economics. [Downloadable!]
  5. Aloysius Siow & Xiaodong Zhu, 2002. "Differential Fecundity and Gender-Biased Parental Investments in Health," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 5(4), pages 999-1024, October. [Downloadable!] (restricted)
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