@article{fdi:010061085,
  title = {{A} dynamic model of the marriage market. {P}art 1 : {M}atching algorithm based on age preference and availability},
  author = {{M}atthews, {A}.{P}. and {G}arenne, {M}ichel},
  editor = {},
  language = {{ENG}},
  abstract = {{T}he matching algorithm in a dynamic marriage market model is described in this first of two companion papers. {I}terative {P}roportional {F}itting 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. {T}he one-sex age distributions (which are the marginals of the two-sex distribution) are based on the {P}icrate model, and age preference on a normal distribution, both of which may be adjusted by choice of parameter values. {F}or 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. {T}he 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. {T}he 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. {T}o simplify exposition, only first marriage is treated, and the algorithm is illustrated by application to {Z}ambia. {I}n the second paper, remarriage and dissolution are included.},
  keywords = {{MARIAGE} ; {AGE} {PHYSIOLOGIQUE} ; {SEXE} ; {ALGORITHME} ; {ZAMBIE}},
  booktitle = {},
  journal = {{T}heoretical {P}opulation {B}iology},
  volume = {88},
  numero = {},
  pages = {78--85},
  ISSN = {0040-5809},
  year = {2013},
  DOI = {10.1016/j.tpb.2013.01.006},
  URL = {https://www.documentation.ird.fr/hor/fdi:010061085},
}