[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 …

Constraints in fair division

W Suksompong - ACM SIGecom Exchanges, 2021 - dl.acm.org
The fair allocation of resources to interested agents is a fundamental problem in society.
While the majority of the fair division literature assumes that all allocations are feasible, in …

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 …

Almost full EFX exists for four agents

B Berger, A Cohen, M Feldman, A Fiat - Proceedings of the AAAI …, 2022 - ojs.aaai.org
The existence of EFX allocations of goods is a major open problem in fair division, even for
additive valuations. The current state of the art is that no setting where EFX allocations are …

Mixed fair division: A survey

S Liu, X Lu, M Suzuki, T Walsh - … of the AAAI Conference on Artificial …, 2024 - ojs.aaai.org
The fair allocation of resources to agents is a fundamental problem in society and has
received significant attention and rapid developments from the game theory and artificial …

Weighted envy-freeness in indivisible item allocation

M Chakraborty, A Igarashi, W Suksompong… - ACM Transactions on …, 2021 - dl.acm.org
We introduce and analyze new envy-based fairness concepts for agents with weights that
quantify their entitlements in the allocation of indivisible items. We propose two variants of …

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 …

Finding fair and efficient allocations for matroid rank valuations

N Benabbou, M Chakraborty, A Igarashi… - ACM Transactions on …, 2021 - dl.acm.org
In this article, we present new results on the fair and efficient allocation of indivisible goods
to agents whose preferences correspond to matroid rank functions. This is a versatile …

Closing gaps in asymptotic fair division

P Manurangsi, W Suksompong - SIAM Journal on Discrete Mathematics, 2021 - SIAM
We study a resource allocation setting where m discrete items are to be divided among n
agents with additive utilities, and the agents' utilities for individual items are drawn at random …