We study the consequences of bilateral market mergers. We first characterize the relationship between the M-optimal stable matching in the original markets with the M-optimal stable matching in the new market formed after the merger of the original markets. Then, we characterize the conditions under which the Cartesian product of the set of stable matching in each of the original markets remain stable in the new market.

Antonio Romero-Medina

Matteo Triossi

Keywords: Comparative Statics., Stable Matching Mergers, Two-sided Matching