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Two-Sex Demographic Models

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  • Pollak, Robert 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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  • Pollak, Robert A, 1990. "Two-Sex Demographic Models," Journal of Political Economy, University of Chicago Press, vol. 98(2), pages 399-420, April.
  • Handle: RePEc:ucp:jpolec:v:98:y:1990:i:2:p:399-420
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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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