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A dynamic model of the marriage market—Part 1: Matching algorithm based on age preference and availability

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  • Matthews, A.P.
  • Garenne, M.L.

Abstract

The matching algorithm in a dynamic marriage market model is described in this first of two companion papers. Iterative Proportional Fitting is used to find a marriage function (an age distribution of new marriages for both sexes), in a stable reference population, that is consistent with the one-sex age distributions of new marriages, and includes age preference. The one-sex age distributions (which are the marginals of the two-sex distribution) are based on the Picrate model, and age preference on a normal distribution, both of which may be adjusted by choice of parameter values. For a population that is perturbed from the reference state, the total number of new marriages is found as the harmonic mean of target totals for men and women obtained by applying reference population marriage rates to the perturbed population. The marriage function uses the age preference function, assumed to be the same for the reference and the perturbed populations, to distribute the total number of new marriages. The marriage function also has an availability factor that varies as the population changes with time, where availability depends on the supply of unmarried men and women. To simplify exposition, only first marriage is treated, and the algorithm is illustrated by application to Zambia. In the second paper, remarriage and dissolution are included.

Suggested Citation

  • Matthews, A.P. & Garenne, M.L., 2013. "A dynamic model of the marriage market—Part 1: Matching algorithm based on age preference and availability," Theoretical Population Biology, Elsevier, vol. 88(C), pages 78-85.
    • Handle: RePEc:eee:thpobi:v:88:y:2013:i:c:p:78-85
    DOI: 10.1016/j.tpb.2013.01.006
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    References listed on IDEAS

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    1. Prithwis Gupta, 1973. "Growth of U.S. population, 1940–1971, in the light of an interactive two-sex model," Demography, Springer;Population Association of America (PAA), vol. 10(4), pages 543-565, November.
    2. John Dagsvik & Helge Brunborg & Ane Flaatten, 2001. "A behavioral two-sex marriage model," Mathematical Population Studies, Taylor & Francis Journals, vol. 9(2), pages 97-121.
    3. Hisashi Inaba, 2000. "Persistent age distributions for an age-structured two-sex population model," Mathematical Population Studies, Taylor & Francis Journals, vol. 7(4), pages 365-398.
    4. Robert Schoen, 1981. "The harmonic mean as the basis of a realistic two-sex marriage model," Demography, Springer;Population Association of America (PAA), vol. 18(2), pages 201-216, May.
    5. Robert Schoen, 1977. "A two-sex nuptiality-mortality life table," Demography, Springer;Population Association of America (PAA), vol. 14(3), pages 333-350, August.
    6. Robert Schoen, 1983. "Measuring the tightness of a marriage squeeze," Demography, Springer;Population Association of America (PAA), vol. 20(1), pages 61-78, February.
    7. Maia Martcheva & Fabio Milner, 2001. "The mathematics of sex and marriage, revisited," Mathematical Population Studies, Taylor & Francis Journals, vol. 9(2), pages 123-141.
    8. 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.
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    Cited by:

    1. André Grow & Jan Van Bavel, 2015. "Assortative Mating and the Reversal of Gender Inequality in Education in Europe: An Agent-Based Model," PLOS ONE, Public Library of Science, vol. 10(6), pages 1-24, June.
    2. Matthews, A.P. & Garenne, M.L., 2013. "A dynamic model of the marriage market—Part 2: Simulation of marital states and application to empirical data," Theoretical Population Biology, Elsevier, vol. 88(C), pages 86-93.

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