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Two-Sex Demographic Models

  • Pollak, Robert A

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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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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