Several Stories About High-Multiplicity EFx Allocation (Student Abstract)

Abstract

Fair division is a topic that has significant social and industrial value. In this work, we study allocations that simultaneously satisfy definitions of fairness and efficiency: EFx and PO. First, we prove that the problem of finding such allocations is NP-hard for two agents. Then, we propose a concept for an ILP-based solving algorithm, the running time of which depends on the number of EFx allocations. We generate input data and analyze algorithm's running time based on the results obtained.

Cite

Text

Morozov et al. "Several Stories About High-Multiplicity EFx Allocation (Student Abstract)." AAAI Conference on Artificial Intelligence, 2024. doi:10.1609/AAAI.V38I21.30484

Markdown

[Morozov et al. "Several Stories About High-Multiplicity EFx Allocation (Student Abstract)." AAAI Conference on Artificial Intelligence, 2024.](https://mlanthology.org/aaai/2024/morozov2024aaai-several/) doi:10.1609/AAAI.V38I21.30484

BibTeX

@inproceedings{morozov2024aaai-several,
  title     = {{Several Stories About High-Multiplicity EFx Allocation (Student Abstract)}},
  author    = {Morozov, Nikita and Ignatiev, Artur and Dementiev, Yuriy},
  booktitle = {AAAI Conference on Artificial Intelligence},
  year      = {2024},
  pages     = {23587-23589},
  doi       = {10.1609/AAAI.V38I21.30484},
  url       = {https://mlanthology.org/aaai/2024/morozov2024aaai-several/}
}