Alfred Galichon (Ecole polytechnique), “Matching with Trade-oﬀs: Revealed Preferences over Competing Characteristics ”, Economic Theory Seminar, Toulouse: TSE, October 13, 2009, 11:00–12:30, room MF 323.
We investigate in this paper the theory and econometrics of optimal matchings with competing criteria. The surplus from a marriage match, for instance, may depend both on the incomes and on the educations of the partners, as well as on characteristics that the analyst does not observe. Even if the surplus is complementary in incomes, and complementary in educations, imperfect correlation between income and education at the individual level implies that the social optimum must trade oﬀ matching on incomes and matching on educations. Given a ﬂexible speciﬁcation of the surplus function, we characterize under mild assumptions the properties of the set of feasible matchings and of the socially optimal matching. Then we show how data on the covariation of the types of the partners in observed matches can be used to test that the observed matches are socially optimal for this speciﬁcation, and to estimate the parameters that deﬁne social preferences over matches. We illustrate our approach on data from the June 1995 CPS.