Abstract We propose a solution to the school choice problem with priority-based affirmative action. This solution is a special case of Kesten’s efficiency-adjusted deferred acceptance mechanism (henceforth, EADAM), specifically, we require that all minority students should give consent to priority waiving while none of the majority students consent. We formalize this solution as efficiency-adjusted deferred acceptance mechanism with only minorities consenting (henceforth, EADAM m ). While it is known that when all students consent, the EADAM is not responsive to the priority-based affirmative action, we show that the EADAM m is responsive to the priority-based affirmative action. Inherited from the EADAM, the EADAM m satisfies reasonable fairness but lacks strategy-proofness. We further show that there is no reasonably fair and strategy-proof mechanism that is also responsive to the priority-based affirmative action.

中文翻译：

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基于优先权的平权行动的学校选择：响应式解决方案

摘要 我们提出了一种基于优先级的平权行动的择校问题解决方案。该解决方案是Kesten的效率调整延迟接受机制（以下简称EADAM）的一个特例，具体来说，我们要求所有少数族裔学生都同意优先放弃，而大多数学生都不同意。我们将此解决方案正式化为经过效率调整的延迟接受机制，只有少数人同意（以下称为 EADAM m）。虽然众所周知，当所有学生都同意时，EADAM 不会对基于优先级的平权行动做出响应，但我们表明 EADAM m 对基于优先级的平权行动有响应。继承自 EADAM，EADAM m 满足合理的公平性但缺乏策略证明。