[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 …

Weighted fairness notions for indivisible items revisited

M Chakraborty, E Segal-Halevi… - ACM Transactions on …, 2024 - dl.acm.org
We revisit the setting of fairly allocating indivisible items when agents have different weights
representing their entitlements. First, we propose a parameterized family of relaxations for …

Yankee swap: a fast and simple fair allocation mechanism for matroid rank valuations

V Viswanathan, Y Zick - arxiv preprint arxiv:2206.08495, 2022 - arxiv.org
We study fair allocation of indivisible goods when agents have matroid rank valuations. Our
main contribution is a simple algorithm based on the colloquial Yankee Swap procedure that …

Truthful and fair mechanisms for matroid-rank valuations

S Barman, P Verma - Proceedings of the AAAI Conference on Artificial …, 2022 - ojs.aaai.org
We study the problem of allocating indivisible goods among strategic agents. We focus on
settings wherein monetary transfers are not available and each agent's private valuation is a …

A general framework for fair allocation under matroid rank valuations

V Viswanathan, Y Zick - Proceedings of the 24th ACM Conference on …, 2023 - dl.acm.org
We study the problem of fairly allocating a set of indivisible goods among agents with
matroid rank valuations---every good provides a marginal value of 0 or 1 when added to a …

On fair division under heterogeneous matroid constraints

A Dror, M Feldman, E Segal-Halevi - Journal of Artificial Intelligence …, 2023 - jair.org
We study fair allocation of indivisible goods among additive agents with feasibility
constraints. In these settings, every agent is restricted to get a bundle among a specified set …

Weighted envy-freeness for submodular valuations

L Montanari, U Schmidt-Kraepelin… - Proceedings of the …, 2024 - ojs.aaai.org
We investigate the fair allocation of indivisible goods to agents with possibly different
entitlements represented by weights. Previous work has shown that guarantees for additive …

Class fairness in online matching

H Hosseini, Z Huang, A Igarashi, N Shah - Artificial Intelligence, 2024 - Elsevier
We initiate the study of fairness among classes of agents in online bipartite matching where
there is a given set of offline vertices (aka agents) and another set of vertices (aka items) that …

Improved maximin guarantees for subadditive and fractionally subadditive fair allocation problem

M Seddighin, S Seddighin - Artificial Intelligence, 2024 - Elsevier
In this work, we study the maximin share fairness notion (MMS) for allocation of indivisible
goods in the subadditive and fractionally subadditive settings. While previous work refutes …

Fair Division of Indivisible Goods: Recent Progress and Open Questions

G Amanatidis, H Aziz, G Birmpas… - arxiv preprint arxiv …, 2022 - arxiv.org
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 …