PROPm Allocations of Indivisible Goods to Multiple Agents

Artem Baklanov; Pranav Garimidi; Vasilis Gkatzelis; Daniel Schoepflin

IJCAI 2021poster16 citations

PROPm Allocations of Indivisible Goods to Multiple Agents

Artem Baklanov, Pranav Garimidi, Vasilis Gkatzelis, Daniel Schoepflin

Abstract

We study the classic problem of fairly allocating a set of indivisible goods among a group of agents, and focus on the notion of approximate proportionality known as PROPm. Prior work showed that there exists an allocation that satisfies this notion of fairness for instances involving up to five agents, but fell short of proving that this is true in general. We extend this result to show that a PROPm allocation is guaranteed to exist for all instances, independent of the number of agents or goods. Our proof is constructive, providing an algorithm that computes such an allocation and, unlike prior work, the running time of this algorithm is polynomial in both the number of agents and the number of goods.

Agent-based and Multi-agent Systems: Resource Allocation

BibTeX

@inproceedings{ijcai2021p4,
  title     = {PROPm Allocations of Indivisible Goods to Multiple Agents},
  author    = {Baklanov, Artem and Garimidi, Pranav and Gkatzelis, Vasilis and Schoepflin, Daniel},
  booktitle = {Proceedings of the Thirtieth International Joint Conference on
               Artificial Intelligence, {IJCAI-21}},
  publisher = {International Joint Conferences on Artificial Intelligence Organization},
  editor    = {Zhi-Hua Zhou},
  pages     = {24--30},
  year      = {2021},
  month     = {8},
  note      = {Main Track},
  doi       = {10.24963/ijcai.2021/4},
  url       = {https://doi.org/10.24963/ijcai.2021/4},
}