当前位置: X-MOL 学术arXiv.cs.GT › 论文详情
EFX Exists for Three Agents
arXiv - CS - Computer Science and Game Theory Pub Date : 2020-02-12 , DOI: arxiv-2002.05119
Bhaskar Ray Chaudhury; Jugal Garg; Kurt Mehlhorn

We study the problem of allocating a set of indivisible items among agents with additive valuations in a fair manner. Envy-freeness up to any item (EFX) is arguably the most compelling fairness concept for this problem. However, despite significant efforts by many researchers for several years, its existence has not been settled beyond the simple case of two agents. In this paper, we break this barrier by showing that an EFX allocation always exists for three agents! Our proof is algorithmic and quite involved. Furthermore, we also falsify a conjecture of Caragiannis et al. by showing an instance with three agents for which there is a partial EFX allocation (some items are not allocated) with higher Nash welfare than that of any complete EFX allocation.
更新日期:2020-02-13

 

全部期刊列表>>
物理学研究前沿热点精选期刊推荐
chemistry
《自然》编辑与您分享如何成为优质审稿人-信息流
欢迎报名注册2020量子在线大会
化学领域亟待解决的问题
材料学研究精选新
GIANT
自然职场线上招聘会
ACS ES&T Engineering
ACS ES&T Water
ACS Publications填问卷
屿渡论文,编辑服务
阿拉丁试剂right
南昌大学
王辉
南方科技大学
刘天飞
隐藏1h前已浏览文章
课题组网站
新版X-MOL期刊搜索和高级搜索功能介绍
ACS材料视界
天合科研
x-mol收录
X-MOL
苏州大学
廖矿标
深圳湾
试剂库存
down
wechat
bug