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Approximating EFX Through a New Notion of Fairness

  • Rui Dai*
  • , Yuxuan Wang
  • , Zhengyang Liu
  • , Zihe Wang
  • *此作品的通讯作者
  • Beijing Institute of Technology
  • Renmin University of China

科研成果: 书/报告/会议事项章节会议稿件同行评审

摘要

This paper addresses the fair division of indivisible chores in the additive setting. We propose a polynomial-time algorithm that guarantees either a 3.69-EFX or 1.24-proportional allocation for three agents. Additionally, we introduce a new fairness concept called discrete perfect (DP), which applies to chore allocations. We prove the existence of DP for two agents by providing an efficient algorithm and extend this by proposing an algorithm that approximates DP for the general case with n agents. We believe the DP concept holds independent value and could have broader applications.

源语言英语
主期刊名Theory and Applications of Models of Computation - 19th Annual Conference, TAMC 2025, Proceedings
编辑Min Li, Mingji Xia, Peng Zhang
出版商Springer Science and Business Media Deutschland GmbH
148-162
页数15
ISBN(印刷版)9789819548385
DOI
出版状态已出版 - 2026
活动19th Annual Conference on Theory and Applications of Models of Computation, TAMC 2025 - Jinan, 中国
期限: 19 9月 202521 9月 2025

出版系列

姓名Lecture Notes in Computer Science
16084 LNCS
ISSN(印刷版)0302-9743
ISSN(电子版)1611-3349

会议

会议19th Annual Conference on Theory and Applications of Models of Computation, TAMC 2025
国家/地区中国
Jinan
时期19/09/2521/09/25

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