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A simple sufficient condition for a unique and student-efficient stable matching in the college admissions problem
Economic Theory Bulletin ( IF 0.4 ) Pub Date : 2021-01-18 , DOI: 10.1007/s40505-020-00197-2
Philip J. Reny

Consider the college admissions problem. Let us say that (student and college) preferences are student-oriented iff whenever two students disagree about the ranking of two colleges, each one of the two students is ranked higher by the college he prefers than the other student. We show that when preferences are oriented there is a unique stable matching, and that no other matching, stable or not, is weakly preferred by every student.

中文翻译:

一个简单的充分条件,可以在大学录取问题中实现独特且学生高效的稳定匹配

考虑大学录取问题。让我们说(学生和大学)的偏好是面向学生的,如果每当两个学生不同意两所大学的排名时,两个学生中的每一个在他偏爱的学院中的排名就比另一个学生高。我们表明,当偏向取向时,存在唯一的稳定匹配项,并且没有其他匹配项(无论是否稳定)都不是每个学生都偏爱的。
更新日期:2021-01-18
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