2021/03/31 by Akifumi Kira, Kiyohito Nagano, Kira, Akifumi +5
Computer Science · Decision Sciences · Economics, Econometrics and Finance · #90C27 #91A80 #Auction Theory and Applications #Complexity and Algorithms in Graphs #Computer Science and Game Theory (cs.GT) #FOS: Computer and information sciences #FOS: Economics and business #FOS: Mathematics #Game Theory and Voting Systems #Optimization and Control (math.OC) #Theoretical Economics (econ.TH)
paper · doi:10.48550/arxiv.2103.16879
openalex publication_date 2021/03/31 · openalex created_date 2021/06/22 · openalex updated_date 2026/07/28
In this study, we consider the real-world problem of assigning students to classes, where each student has a preference list, ranking a subset of classes in order of preference. Though we use existing approaches to include the daily class assignment of Gunma University, new concepts and adjustments are required to find improved results depending on real instances in the field. Thus, we propose minimax-rank constrained maximum-utility matchings and a compromise between maximum-utility matchings and fair matchings, where a matching is said to be fair if it lexicographically minimizes the number of students assigned to classes not included in their choices, the number of students assigned to their last choices, and so on. In addition, we also observe the potential inefficiency of the student proposing deferred acceptance mechanism with single tie-breaking, which a hot topic in the literature on the school choice problem.