Stable matching of student-groups to dormitories

Nitsan Perach and Shoshana Anily

European Journal of Operational Research, 2022, vol. 302, issue 1, 50-61

Abstract: This paper generalizes results of former papers on the assignment of students to dormitories, under an entrance criterion, by allowing students to apply in groups. A group-application means that its applicants ask to be assigned to the same dormitory, and otherwise they prefer living off-campus. The underlying assumption in our model is that the dormitories share a common preference over the student-groups, which is given by a strictly increasing ranking of their credit scores. The definition of a quasi-stable outcome is adjusted in order to incorporate student-group applications, and we prove that such an outcome always exists. Furthermore, a polynomial-time algorithm that finds all the quasi-stable outcomes is proposed. Apparently, not all properties of the single students’ model continue to hold under group-applications. Finally, we consider the incentive compatibility property of the proposed algorithm, and describe a specific quasi-stable outcome for which no subset of student-groups can gain by misrepresenting their preferences over the dormitories.

Keywords: Assignment; Dormitories; Stable matching; Many-to-many matching; Incentive compatibility (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:302:y:2022:i:1:p:50-61

DOI: 10.1016/j.ejor.2021.12.048

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