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 …

A survey on fair allocation of chores

H Guo, W Li, B Deng - Mathematics, 2023 - mdpi.com
Wherever there is group life, there has been a social division of labor and resource
allocation, since ancient times. Examples include ant colonies, bee colonies, and wolf …

Approximately EFX allocations for indivisible chores

S Zhou, X Wu - Artificial Intelligence, 2024 - Elsevier
In this paper, we study how to fairly allocate a set of m indivisible chores to a group of n
agents, each of which has a general additive cost function on the items. Since envy-free (EF) …

Fair allocation of a multiset of indivisible items

P Gorantla, K Marwaha, S Velusamy - Proceedings of the 2023 Annual ACM …, 2023 - SIAM
We study the problem of fairly allocating a multiset M of m indivisible items among n agents
with additive valuations. Specifically, we introduce a parameter t for the number of distinct …

[HTML][HTML] EFX allocations for indivisible chores: matching-based approach

Y Kobayashi, R Mahara, S Sakamoto - Theoretical Computer Science, 2025 - Elsevier
One of the most important topics in discrete fair division is whether an EFX allocation exists
for any instance. Although the existence of EFX allocations is a standing open problem for …

Repeatedly matching items to agents fairly and efficiently

I Caragiannis, S Narang - Theoretical Computer Science, 2024 - Elsevier
We consider a novel setting where a set of items is matched to the same set of agents
repeatedly over multiple rounds. Each agent gets exactly one item per round, which brings …

Efficient nearly-fair division with capacity constraints

H Shoshan, E Segal-Halevi, N Hazon - arXiv preprint arXiv:2205.07779, 2022 - arxiv.org
We consider the problem of fairly and efficiently allocating indivisible items (goods or bads)
under capacity constraints. In this setting, we are given a set of categorized items. Each …

On The Pursuit of EFX for Chores: Non-Existence and Approximations

V Christoforidis, C Santorinaios - arXiv preprint arXiv:2406.10752, 2024 - arxiv.org
We study the problem of fairly allocating a set of chores to a group of agents. The existence
of envy-free up to any item (EFX) allocations is a long-standing open question for both …

Distribution of Chores with Information Asymmetry

H Hosseini, J Kavner, T Wąs, L Xia - arXiv preprint arXiv:2305.02986, 2023 - arxiv.org
Fair distribution of indivisible tasks with non-positive valuations (aka chores) has given rise
to a large body of work in recent years. A popular approximate fairness notion is envy …

Constrained Fair and Efficient Allocations

B Cookson, S Ebadian, N Shah - arXiv preprint arXiv:2411.00133, 2024 - arxiv.org
Fairness and efficiency have become the pillars of modern fair division research, but prior
work on achieving both simultaneously is largely limited to the unconstrained setting. We …