Approximating EFX Through a New Notion of Fairness

  • Rui Dai*
  • , Yuxuan Wang
  • , Zhengyang Liu
  • , Zihe Wang
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

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.

Original languageEnglish
Title of host publicationTheory and Applications of Models of Computation - 19th Annual Conference, TAMC 2025, Proceedings
EditorsMin Li, Mingji Xia, Peng Zhang
PublisherSpringer Science and Business Media Deutschland GmbH
Pages148-162
Number of pages15
ISBN (Print)9789819548385
DOIs
Publication statusPublished - 2026
Event19th Annual Conference on Theory and Applications of Models of Computation, TAMC 2025 - Jinan, China
Duration: 19 Sept 202521 Sept 2025

Publication series

NameLecture Notes in Computer Science
Volume16084 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference19th Annual Conference on Theory and Applications of Models of Computation, TAMC 2025
Country/TerritoryChina
CityJinan
Period19/09/2521/09/25

Keywords

  • Approximation Algorithm
  • Fair Division
  • Game Theory

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