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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.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Pollak, R.A., 1990. "Two-Sex Demographic Models," Working Papers 90-07, University of Washington, Department of Economics.
  • Handle: RePEc:udb:wpaper:90-07
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    Cited by:

    1. Robert A. Pollak, 2004. "An intergenerational model of domestic violence," Journal of Population Economics, Springer;European Society for Population Economics, vol. 17(2), pages 311-329, June.
    2. repec:eee:thpobi:v:94:y:2014:i:c:p:63-72 is not listed on IDEAS
    3. 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.
    4. Rune Johansen & John K. Dagsvik, 1999. "The Dynamics of a Behavioral Two-Sex Demographic Model," Discussion Papers 247, Statistics Norway, Research Department.
    5. Eugene Choo & Aloysius Siow, 2006. "Estimating a marriage matching model with spillover effects," Demography, Springer;Population Association of America (PAA), vol. 43(3), pages 463-490, August.
    6. repec:ura:ecregj:v:1:y:2017:i:4:p:1164-1174 is not listed on IDEAS
    7. Xi Song & Robert D. Mare, 2017. "Short-Term and Long-Term Educational Mobility of Families: A Two-Sex Approach," Demography, Springer;Population Association of America (PAA), vol. 54(1), pages 145-173, February.
    8. Aloysius Siow & Eugene Choo, 2007. "Lifecycle marriage matching: Theory and Evidence," 2007 Meeting Papers 550, Society for Economic Dynamics.
    9. 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.

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    Keywords

    labour market ; savings ; population;

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