[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 …

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 …

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 …

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 …

Online nash social welfare maximization with predictions

S Banerjee, V Gkatzelis, A Gorokh, B Jin - … of the 2022 Annual ACM-SIAM …, 2022 - SIAM
We consider the problem of allocating a set of divisible goods to N agents in an online
manner, aiming to maximize the Nash social welfare, a widely studied objective which …

Extension of additive valuations to general valuations on the existence of EFX

R Mahara - Mathematics of Operations Research, 2024 - pubsonline.informs.org
Envy freeness is one of the most widely studied notions in fair division. Because envy-free
allocations do not always exist when items are indivisible, several relaxations have been …

Best of both worlds: Agents with entitlements

M Hoefer, M Schmalhofer, G Varricchio - Journal of Artificial Intelligence …, 2024 - jair.org
Fair division of indivisible goods is a central challenge in artificial intelligence. For many
prominent fairness criteria including envy-freeness (EF) or proportionality (PROP), no …

A constant-factor approximation algorithm for Nash social welfare with submodular valuations

W Li, J Vondrák - 2021 IEEE 62nd Annual Symposium on …, 2022 - ieeexplore.ieee.org
A constant-factor approximation algorithm for Nash Social Welfare with submodular valuations
Page 1 A constant-factor approximation algorithm for Nash Social Welfare with submodular …

Fair and efficient allocations under subadditive valuations

BR Chaudhury, J Garg, R Mehta - … of the AAAI Conference on Artificial …, 2021 - ojs.aaai.org
We study the problem of allocating a set of indivisible goods among agents with subadditive
valuations in a fair and efficient manner. Envy-Freeness up to any good (EFX) is the most …

Approximating Nash social welfare under Rado valuations

J Garg, E Husić, LA Végh - Proceedings of the 53rd Annual ACM …, 2021 - dl.acm.org
We consider the problem of approximating maximum Nash social welfare (NSW) while
allocating a set of indivisible items to n agents. The NSW is a popular objective that provides …