Leveling the Playing Field: Sincere and Sophisticated Players in the Boston Mechanism
分析波士顿公立学校分配机制中，真诚报告偏好与策略性最优反应两类家庭的行为，发现策略型学生在均衡中比在稳定匹配机制下获得更优结果。
Empirical and experimental evidence suggests different levels of sophistication among families in the Boston Public School student assignment plan. We analyze the preference revelation game induced by the Boston mechanism with sincere players who report their true preferences and sophisticated players who play a best response. We characterize the set of Nash equilibrium outcomes as the set of stable matchings of a modified economy, where sincere students lose priority to sophisticated students. Any sophisticated student weakly prefers her assignment under the Pareto-dominant Nash equilibrium of the Boston mechanism to her assignment under the recently adopted student-optimal stable mechanism.