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Two-Sex Demographic Models

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  • POLLAK, R.A.

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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Bibliographic Info

Paper provided by University of Washington, Department of Economics in its series Working Papers with number 90-07.

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Length: 33 pages
Date of creation: 1990
Date of revision:
Handle: RePEc:udb:wpaper:90-07

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Keywords: labour market ; savings ; population;

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Cited by:
  1. 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.
  2. Rune Johansen & John K. Dagsvik, 1999. "The Dynamics of a Behavioral Two-Sex Demographic Model," Discussion Papers 247, Research Department of Statistics Norway.
  3. Robert A. Pollak, 2002. "An Intergenerational Model of Domestic Violence," NBER Working Papers 9099, National Bureau of Economic Research, Inc.
  4. 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.
  5. Eugene Choo & Aloysius Siow, 2006. "Estimating a marriage matching model with spillover effects," Demography, Springer, vol. 43(3), pages 463-490, August.

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