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>>
化学/材料学中国作者研究精选
ACS材料视界
南京大学
自然科研论文编辑服务
剑桥大学-
中国科学院大学化学科学学院
南开大学化学院周其林
课题组网站
X-MOL
北京大学分子工程苏南研究院
华东师范大学分子机器及功能材料
中山大学化学工程与技术学院
试剂库存
天合科研
down
wechat
bug