We determine equilibrium acceptance strategies in a class of multi-period m
ating games where individuals prefer opposite sex partners with a close par
ameter type (one-dimensional homotypic preferences). In each period unmated
individuals are randomly paired. They form a couple (and leave the pool) i
f each accepts the other; otherwise they continue into future periods. We c
onsider models with a fixed cohort group (without replacement) and also ste
ady-state models (with replacement). Unlike the job-search model of McNamar
a & Collins involving type preferences (maximizing individuals), we find no
segmentation of the populations at equilibrium, rather continuous changes
of strategy. We find some similarities and some differences with the Kalick
-Hamilton simulation model of attractiveness matching in a dating context.
In general, we find that at equilibrium all individuals become less choosy
(in accepting potential mates) with time, and that individuals with more ce
ntral types are choosier than those with more extreme types. (C) 1999 Acade
mic Press.