, potentially complementary, input fixed. We introduce a class of such reallocations -- correlated matching rules -- that includes … the status quo allocation, a random allocation, and both the perfect positive and negative assortative matching …

. Consider the following matching mechanism: take a random draw from the `W=w_j` subgroup of the first population and match her … function (AMF), denote the expected output associated with this match. We show that (i) the AMF is identified when matching is … conditionally exogenous, (ii) conditionally exogenous matching is compatible with a pairwise stable aggregate matching equilibrium …