[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 …

The unreasonable fairness of maximum Nash welfare

I Caragiannis, D Kurokawa, H Moulin… - ACM Transactions on …, 2019 - dl.acm.org
The maximum Nash welfare (MNW) solution—which selects an allocation that maximizes
the product of utilities—is known to provide outstanding fairness guarantees when allocating …

Gradient driven rewards to guarantee fairness in collaborative machine learning

X Xu, L Lyu, X Ma, C Miao, CS Foo… - Advances in Neural …, 2021 - proceedings.neurips.cc
In collaborative machine learning (CML), multiple agents pool their resources (eg, data)
together for a common learning task. In realistic CML settings where the agents are self …

Almost envy-freeness with general valuations

B Plaut, T Roughgarden - SIAM Journal on Discrete Mathematics, 2020 - SIAM
The goal of fair division is to distribute resources among competing players in a “fair" way.
Envy-freeness is the most extensively studied fairness notion in fair division. Envy-free …

Finding fair and efficient allocations

S Barman, SK Krishnamurthy, R Vaish - … of the 2018 ACM Conference on …, 2018 - dl.acm.org
We study the problem of allocating a set of indivisible goods among a set of agents in a fair
and efficient manner. An allocation is said to be fair if it is envy-free up to one good (EF1) …

The combinatorial assignment problem: Approximate competitive equilibrium from equal incomes

E Budish - Journal of Political Economy, 2011 - journals.uchicago.edu
This paper proposes a new mechanism for combinatorial assignment—for example,
assigning schedules of courses to students—based on an approximation to competitive …

EFX exists for three agents

BR Chaudhury, J Garg, K Mehlhorn - Journal of the ACM, 2024 - dl.acm.org
We study the problem of distributing a set of indivisible goods among agents with additive
valuations in a fair manner. The fairness notion under consideration is envy-freeness up to …

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 …

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 …