[HTML][HTML] Fair division of indivisible goods: Recent progress and open questions

G Amanatidis, H Aziz, G Birmpas, A Filos-Ratsikas… - Artificial Intelligence, 2023 - Elsevier
Allocating resources to individuals in a fair manner has been a topic of interest since ancient
times, with most of the early mathematical work on the problem focusing on resources that …

Fair division of indivisible goods: A survey

G Amanatidis, G Birmpas, A Filos-Ratsikas… - arXiv preprint arXiv …, 2022 - arxiv.org
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 …

Algorithmic fair allocation of indivisible items: A survey and new questions

H Aziz, B Li, H Moulin, X Wu - ACM SIGecom Exchanges, 2022 - dl.acm.org
The theory of algorithmic fair allocation is at the center of multi-agent systems and
economics in recent decades due to its industrial and social importance. At a high level, the …

Maximum Nash welfare and other stories about EFX

G Amanatidis, G Birmpas, A Filos-Ratsikas… - Theoretical Computer …, 2021 - Elsevier
We consider the classic problem of fairly allocating indivisible goods among agents with
additive valuation functions and explore the connection between two prominent fairness …

[HTML][HTML] Weighted fair division of indivisible items: A review

W Suksompong - Information Processing Letters, 2024 - Elsevier
Fair division is a longstanding problem in economics and has recently received substantial
interest in computer science. Several applications of fair division involve agents with …

A little charity guarantees almost envy-freeness

BR Chaudhury, T Kavitha, K Mehlhorn… - SIAM Journal on …, 2021 - SIAM
The fair division of indivisible goods is a very well-studied problem. The goal of this problem
is to distribute m goods to n agents in a “fair” manner, where every agent has a valuation for …

EFX: a simpler approach and an (almost) optimal guarantee via rainbow cycle number

H Akrami, N Alon, BR Chaudhury, J Garg… - Operations …, 2024 - pubsonline.informs.org
The existence of envy-freeness up to any good (EFX) allocations is a fundamental open
problem in discrete fair division. The goal is to determine the existence of an allocation of a …

On approximate envy-freeness for indivisible chores and mixed resources

U Bhaskar, AR Sricharan, R Vaish - arXiv preprint arXiv:2012.06788, 2020 - arxiv.org
We study the fair allocation of undesirable indivisible items, or chores. While the case of
desirable indivisible items (or goods) is extensively studied, with many results known for …

Improving EFX guarantees through rainbow cycle number

BR Chaudhury, J Garg, K Mehlhorn, R Mehta… - Proceedings of the …, 2021 - dl.acm.org
We study the problem of fairly allocating a set of indivisible goods among n agents with
additive valuations. Envy-freeness up to any good (EFX) is arguably the most compelling …

The price of fairness for indivisible goods

X Bei, X Lu, P Manurangsi, W Suksompong - Theory of Computing …, 2021 - Springer
We investigate the efficiency of fair allocations of indivisible goods using the well-studied
price of fairness concept. Previous work has focused on classical fairness notions such as …