English

Mixed Fair Division: A Survey

Computer Science and Game Theory 2024-08-13 v4

Abstract

Fair division considers the allocation of scarce resources among agents in such a way that every agent gets a fair share. It is a fundamental problem in society and has received significant attention and rapid developments from the game theory and artificial intelligence communities in recent years. The majority of the fair division literature can be divided along at least two orthogonal directions: goods versus chores, and divisible versus indivisible resources. In this survey, besides describing the state of the art, we outline a number of interesting open questions and future directions in three mixed fair division settings: (i) indivisible goods and chores, (ii) divisible and indivisible goods (mixed goods), and (iii) indivisible goods with subsidy which can be viewed like a divisible good.

Keywords

Cite

@article{arxiv.2306.09564,
  title  = {Mixed Fair Division: A Survey},
  author = {Shengxin Liu and Xinhang Lu and Mashbat Suzuki and Toby Walsh},
  journal= {arXiv preprint arXiv:2306.09564},
  year   = {2024}
}

Comments

Appears in the 38th AAAI Conference on Artificial Intelligence (AAAI), Senior Member Presentation Track, 2024

R2 v1 2026-06-28T11:06:44.393Z