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 …

Approximately EFX allocations for indivisible chores

S Zhou, X Wu - Artificial Intelligence, 2024 - Elsevier
In this paper, we study how to fairly allocate a set of m indivisible chores to a group of n
agents, each of which has a general additive cost function on the items. Since envy-free (EF) …

Improving approximation guarantees for maximin share

H Akrami, J Garg, E Sharma, S Taki - arXiv preprint arXiv:2307.12916, 2023 - arxiv.org
We consider fair division of a set of indivisible goods among $ n $ agents with additive
valuations using the fairness notion of maximin share (MMS). MMS is the most popular …

One Quarter Each (on Average) Ensures Proportionality

X Wu, C Zhang, S Zhou - International Conference on Web and Internet …, 2023 - Springer
We consider the problem of fair allocation of m indivisible items to a group of n agents with
subsidy (money). Our work mainly focuses on the allocation of chores but most of our results …

Fair allocation of indivisible chores: beyond additive costs

B Li, F Wang, Y Zhou - Advances in Neural Information …, 2024 - proceedings.neurips.cc
We study the maximin share (MMS) fair allocation of $ m $ indivisible tasks to $ n $ agents
who have costs for completing the assigned tasks. It is known that exact MMS fairness …

Multi-agent online scheduling: MMS allocations for indivisible items

S Zhou, R Bai, X Wu - International Conference on Machine …, 2023 - proceedings.mlr.press
We consider the problem of fairly allocating a sequence of indivisible items that arrive online
in an arbitrary order to a group of $ n $ agents with additive normalized valuation functions …

Dynamic Multi-Resource Fair Allocation with Elastic Demands

H Guo, W Li - Journal of Grid Computing, 2024 - Springer
In this paper, we study dynamic multi-resource maximin share fair allocation based on the
elastic demands of users in a cloud computing system. In this problem, users do not stay in …

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 …

Tree Splitting Based Rounding Scheme for Weighted Proportional Allocations with Subsidy

X Wu, S Zhou - arXiv preprint arXiv:2404.07707, 2024 - arxiv.org
We consider the problem of allocating $ m $ indivisible items to a set of $ n $ heterogeneous
agents, aiming at computing a proportional allocation by introducing subsidy (money). It has …

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 …