Strategy-proof matching with regional minimum quotas

Masahiro Goto, Naoyuki Hashimoto, Atshushi Iwasaki, Yujiro Kawasaki, Suguru Ueda, Yosuke Yasuda, Makoto Yokoo

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

21 被引用数 (Scopus)

抄録

This paper considers the matching problem with regional quotas, in particular, regional minimum quotas. Although such quotas are relevant in many real-world settings, there is a lack of strategy-proof mechanisms that consider regional minimum quotas. We first show that without any restrictions on the region structure, finding a feasible matching that satisfies all quotas is NP-complete. Then, assuming that regions have a hierarchical structure (in this case, a tree), and maximum quotas are imposed only on individual schools, we show that checking the existence of a feasible matching can be done in a linear time in the number of regions. Furthermore, we develop strategy-proof matching mechanisms based on the Deferred Acceptance mechanism (DA), which we call Multi-Stage DA with Regional minimum Quotas (MSDA-RQ) and Round-robin Selection DA with Regional minimum Quotas (RSDA-RQ). When minimum quotas are imposed, fairness and nonwastefulness are incompatible. We prove that RSDA-RQ is fair but wasteful, while MSDA-RQ is nonwasteful but not fair. Moreover, we compare our mechanisms with artificial cap mechanisms whose individual maximum quotas are adjusted beforehand so that all regional quotas can be automatically satisfied. Our simulation reveals that our mechanisms substantially outperform artificial cap mechanisms in terms of student welfare. Furthermore, it illustrates the trade-off between our mechanisms.

本文言語英語
ホスト出版物のタイトル13th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2014
出版社International Foundation for Autonomous Agents and Multiagent Systems (IFAAMAS)
ページ1225-1232
ページ数8
ISBN(電子版)9781634391313
出版ステータス出版済み - 1 1 2014
イベント13th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2014 - Paris, フランス
継続期間: 5 5 20145 9 2014

出版物シリーズ

名前13th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2014
2

その他

その他13th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2014
国/地域フランス
CityParis
Period5/5/145/9/14

All Science Journal Classification (ASJC) codes

  • 人工知能

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