2004), “Beauty is a beast, frog is a prince: assortative matching with nontransferabilities”, working paper

We present sufficient conditions for monotone matching in environ-ments where utility is not fully transferable between partners. These conditions involve complementarity in types not only of the total pay-off to a match, as in the transferable utility case, but also in the degree of transferability between partners. We apply our conditions to study some models of risk sharing and incentive problems