Pais, Joana2022-10-282022-10-282008Pais, Joana.(2008) "Random matching in the college admissions problem". Economic Theory, Vol. 35, No.1: pp. 99-116.http://hdl.handle.net/10400.5/25818In the college admissions problem, we consider the incentives confronting agents who face the prospect of being matched by a random stable mechanism. We provide a fairly complete characterization of ordinal equilibria. Namely, every ordinal equilibrium yields a degenerate probability distribution. Furthermore, individual rationality is a necessary and sufficient condition for an equilibrium outcome, while stability is guaranteed in ordinal equilibria where firms act straightforwardly. Finally, we relate equilibrium behavior in random and in deterministic mechanisms.engMatchingCollege Admissions ProblemStabilityRandom Mechanismjournal article10.1007/s00199-006-0191-6