This paper considers marriage problems, roommate problems with nonempty core, and college admissions problems with responsive preferences. All stochastically stable matchings are shown to be contained in the set of matchings which are most robust to one-shot deviation.

We examine preference evolution under different marriage market arrangements, when preferences are influenced by own choices and parents' preferences. The dynamical system exhibits pitchfork bifurcation as the degree of sorting varies: Multiple stable equilibria arise under sufficiently random...

Building on previous literature that examines the influence of intergenerational transmission in cultural evolution, we highlight the importance of the marriage market in the determination of cultural homogeneity (“melting pot”) versus heterogeneity (“diversity”). To do so, we...