Algorithmic fair allocation of indivisible items: A survey and new questions
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 …
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 …
allocation, since ancient times. Examples include ant colonies, bee colonies, and wolf …
Approximately EFX allocations for indivisible chores
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) …
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
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 …
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 …
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 …
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 …
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 …
of envy-free up to any item (EFX) allocations is a long-standing open question for both …
Distribution of Chores with Information Asymmetry
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 …
to a large body of work in recent years. A popular approximate fairness notion is envy …
Constrained Fair and Efficient Allocations
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 …
work on achieving both simultaneously is largely limited to the unconstrained setting. We …