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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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Suggested Citation

  • Pollak, R.A., 1990. "Two-Sex Demographic Models," Discussion Papers in Economics at the University of Washington 90-07, Department of Economics at the University of Washington.
  • Handle: RePEc:fth:washer:90-07
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    1. Francesco Giavazzi & Charles Wyplosz, 1984. "The Real Exchange Rate, the Current Account, and the Speed of Adjustment," NBER Chapters,in: Exchange Rate Theory and Practice, pages 335-356 National Bureau of Economic Research, Inc.
    2. Sen, Partha & Turnovsky, Stephen J., 1989. "Deterioration of the terms of trade and capital accumulation: A re-examination of the Laursen-Metzler effect," Journal of International Economics, Elsevier, vol. 26(3-4), pages 227-250, May.
    3. Buiter, Willem H., 1984. "Policy Evaluation and Design for Continuous Time Linear Rational Expectations Models: Some Recent Developments," CEPR Discussion Papers 15, C.E.P.R. Discussion Papers.
    4. Obstfeld, Maurice & Stockman, Alan C., 1985. "Exchange-rate dynamics," Handbook of International Economics,in: R. W. Jones & P. B. Kenen (ed.), Handbook of International Economics, edition 1, volume 2, chapter 18, pages 917-977 Elsevier.
    5. Abel, Andrew B & Blanchard, Olivier J, 1983. "An Intertemporal Model of Saving and Investment," Econometrica, Econometric Society, vol. 51(3), pages 675-692, May.
    6. Willem H. Buiter, 1984. "Fiscal policy in open, interdependent economies," NBER Working Papers 1429, National Bureau of Economic Research, Inc.
    7. Matsuyama, Kiminori, 1987. "Current account dynamics in a finite horizon model," Journal of International Economics, Elsevier, vol. 23(3-4), pages 299-313, November.
    8. Obstfeld, Maurice, 1989. "Fiscal deficits and relative prices in a growing world economy," Journal of Monetary Economics, Elsevier, vol. 23(3), pages 461-484, May.
    9. Abel, Andrew B., 1982. "Dynamic effects of permanent and temporary tax policies in a q model of investment," Journal of Monetary Economics, Elsevier, vol. 9(3), pages 353-373.
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    Cited by:

    1. Rune Johansen & John K. Dagsvik, 1999. "The Dynamics of a Behavioral Two-Sex Demographic Model," Discussion Papers 247, Statistics Norway, Research Department.
    2. 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.
    3. repec:eee:thpobi:v:94:y:2014:i:c:p:63-72 is not listed on IDEAS
    4. 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.
    5. repec:ura:ecregj:v:1:y:2017:i:4:p:1164-1174 is not listed on IDEAS
    6. 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.
    7. Aloysius Siow & Eugene Choo, 2007. "Lifecycle marriage matching: Theory and Evidence," 2007 Meeting Papers 550, Society for Economic Dynamics.
    8. 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.
    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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