# Fair Division of Indivisible Goods: A Survey

arXiv: https://arxiv.org/abs/2202.07551 · HTML: https://mlsanity.com/paper/2202.07551/

## Key facts

- Cited by 5 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 15 Feb 2022.

## Built on by (most cited first, 5 of 5)

- [Fairness in Matching under Uncertainty](https://mlsanity.com/paper/2302.03810/) (2023)
- [Keep Everyone Happy: Online Fair Division of Numerous Items with Few Copies](https://mlsanity.com/paper/2408.12845/) (2024)
- [The Fairness Fair: Bringing Human Perception into Collective Decision-Making](https://mlsanity.com/paper/2312.14402/) (2023)
- [Harm Ratio: A Novel and Versatile Fairness Criterion](https://mlsanity.com/paper/2410.02977/) (2024)
- [Trading Utility for Dynamic Fairness in Multiple Resource Division with Sequential Demand](https://mlsanity.com/paper/2606.10472/) (2026)

## Abstract (arXiv)

Allocating resources to individuals in a fair manner has been a topic of interest since the ancient times, with most of the early rigorous mathematical work on the problem focusing on infinitely divisible resources. Recently, there has been a surge of papers studying computational questions regarding various different notions of fairness for the indivisible case, like maximin share fairness (MMS) and envy-freeness up to any good (EFX). We survey the most important results in the discrete fair division literature, focusing on the case of additive valuation functions and paying particular attention to the progress made in the last 10 years.