School Choice with Consent
研究发现学生最优稳定机制(SOSM)可能导致较大福利损失,提出效率调整的延迟接受机制(EADAM),允许学生自愿放弃不影响自身分配的优先权,从而在不损害自身的情况下帮助他人,并消除福利损失。
An increasingly popular practice for student assignment to public schools in the United States is the use of school choice systems. The celebrated Gale-Shapley student-optimal stable mechanism (SOSM) has recently replaced two deficient student assignment mechanisms that were in use in New York City and Boston. We provide theoretical evidence that the SOSM outcome may produce large welfare losses. Then we propose an efficiency-adjusted deferred acceptance mechanism (EADAM) that allows a student to consent to waive a certain priority that has no effect on his or her assignment. Under EADAM, consenting students cause themselves no harm, but may help many others benefit as a consequence. We show that EADAM can recover any welfare losses due to SOSM while also preserving immunity against strategic behavior in a particular way. It is also possible to use EADAM to eliminate welfare losses due to randomly breaking ties in student priorities. (c) 2010 by the President and Fellows of Harvard College and the Massachusetts Institute of Technology..