Stability in Matching with Couples Having Non-Responsive Preferences

Abstract

The paper studies matching markets where institutions are matched with possibly more than one individual. The matching market contains some couples who view the pair of jobs as complements. We specify that the couples have a weak'' preference to be matched together. We first assume that the institutions have common preference over all the individuals. We then characterize under which weak preferences of couples a stable matching exists. We then impose further conditions on the common preference of institutions over the individuals and prove existence of stable matching for unrestricted couple preferences. Finally, we establish a result on stability by relaxing the condition on common preference of institutions over individuals and assuming different preferences for different institutions.