We consider the problem of matching a set of medical students to a set of medical residency positions (hospitals) under the assumption that hospitals' preferences over groups of students are responsive. In this context, we study the preference revelation game induced by the student proposing deferred acceptance mechanism. We show that the acyclicity of the hospitals' preference profile (Romero-Medina and Triossi, 2013a) is a necessary and sufficient condition to ensure that the outcome of every Nash equilibrium in which each hospital plays a dropping strategy is stable.
We consider two-sided many-to-one matching markets where hospitals have responsive preferences. In this context, we study the preference revelation game induced by the student-proposing deferred acceptance mechanism. We show that acyclicity of the hospitals’ preference profile (Romero-Medina and Triossi 2013a. “Acyclicity and Singleton Cores in Matching Markets.” Economics Letters 118 (1):237–9) is a necessary and sufficient condition to ensure that the outcome of every Nash equilibrium in which each hospital plays a dropping strategy is stable.
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