Breaking the 3/4 barrier for approximate maximin share

H Akrami, J Garg - Proceedings of the 2024 Annual ACM-SIAM …, 2024 - SIAM
We study the fundamental problem of fairly allocating a set of indivisible goods among n
agents with additive valuations using the desirable fairness notion of maximin share (MMS) …

Randomized and deterministic maximin-share approximations for fractionally subadditive valuations

H Akrami, K Mehlhorn, M Seddighin… - Advances in Neural …, 2024 - proceedings.neurips.cc
We consider the problem of guaranteeing maximin-share ($\MMS $) when allocating a set of
indivisible items to a set of agents with fractionally subadditive ($\XOS $) valuations. For …

1/2-Approximate MMS Allocation for Separable Piecewise Linear Concave Valuations

C Chekuri, P Kulkarni, R Kulkarni… - Proceedings of the AAAI …, 2024 - ojs.aaai.org
We study fair distribution of a collection of m indivisible goods among a group of n agents,
using the widely recognized fairness principles of Maximin Share (MMS) and Any Price …

The budgeted maximin share allocation problem

B Deng, W Li - Optimization Letters, 2024 - Springer
We are given a set of indivisible goods and a set of m agents where each good has a size
and each agent has an additive valuation function and a budget. The budgeted maximin …

Almost proportional allocations of indivisible chores: Computation, approximation and efficiency

H Aziz, B Li, H Moulin, X Wu, X Zhu - Artificial Intelligence, 2024 - Elsevier
Proportionality (PROP) is one of the simplest and most intuitive fairness criteria used for
allocating items among agents with additive utilities. However, when the items are …

Best-of-both-worlds fair allocation of indivisible and mixed goods

X Bu, Z Li, S Liu, X Lu, B Tao - arXiv preprint arXiv:2410.06877, 2024 - arxiv.org
We study the problem of fairly allocating either a set of indivisible goods or a set of mixed
divisible and indivisible goods (ie, mixed goods) to agents with additive utilities, taking the …

Guaranteeing MMS for All but One Agent When Allocating Indivisible Chores

J Qiu, X Wu, C Zhang, S Zhou - arXiv preprint arXiv:2410.12347, 2024 - arxiv.org
We study the problem of allocating $ m $ indivisible chores to $ n $ agents with additive cost
functions under the fairness notion of maximin share (MMS). In this work, we propose a …

Fair Division via the Cake-Cutting Share

Y Bai, K Munagala, Y Shen, I Zhang - arXiv preprint arXiv:2411.10434, 2024 - arxiv.org
In this paper, we consider the classic fair division problem of allocating $ m $ divisible items
to $ n $ agents with linear valuations over the items. We define novel notions of fair shares …

Ordinal Maximin Guarantees for Group Fair Division

P Manurangsi, W Suksompong - arXiv preprint arXiv:2404.11543, 2024 - arxiv.org
We investigate fairness in the allocation of indivisible items among groups of agents using
the notion of maximin share (MMS). While previous work has shown that no nontrivial …

Guaranteed shares of benefits and costs

A Bogomolnaia, H Moulin - arXiv preprint arXiv:2406.14198, 2024 - arxiv.org
In a general fair division model with transferable utilities we discuss endogenous lower and
upper guarantees on individual shares of benefits or costs. Like the more familiar …