In this note, I extend the work of Echenique (Amer. Econ. Rev. 102(1): 594-601, 2012) to show that under the assumption of unilaterally substitutable preferences a matching market with contracts may be embedded into a matching market with salaries. In particular, my result applies to the...

We characterize solutions for two-sided matching, both in the transferable - and in the nontransferable - utility frameworks, using a cardinal formulation. Our approach makes the comparison of the matching models with and without transfers particularly transparent. We introduce the concept of a...

We characterize choice rules for schools that regard students as substitutes while expressing preferences for a diverse student body. The stable (or fair) assignment of students to schools requires the latter to regard the former as substitutes. Such a requirement is in conflict with the reality...