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 …

[HTML][HTML] Multiple birds with one stone: Beating 1/2 for EFX and GMMS via envy cycle elimination

G Amanatidis, E Markakis, A Ntokos - Theoretical Computer Science, 2020 - Elsevier
Several relaxations of envy-freeness, tailored to fair division in settings with indivisible
goods, have been introduced within the last decade. Due to the lack of general existence …

[HTML][HTML] A complete landscape of EFX allocations on graphs: goods, chores and mixed manna

Y Zhou, T Wei, M Li, B Li - Proceedings of the Thirty-Third International …, 2024 - dl.acm.org
We study envy-free up to any item (EFX) allocations on graphs where vertices and edges
represent agents and items respectively. An agent is only interested in items that are …

[PDF][PDF] Indivisible mixed manna: On the computability of MMS+ PO allocations

R Kulkarni, R Mehta, S Taki - Proceedings of the 22nd ACM Conference …, 2021 - dl.acm.org
In this paper we study the problem of finding fair and efficient allocations of a mixed manna,
ie, a set M of discrete items that are goods/chores, among a set N of agents with additive …

Envy-free relaxations for goods, chores, and mixed items

K Bérczi, ER Bérczi-Kovács, E Boros, FT Gedefa… - arXiv preprint arXiv …, 2020 - arxiv.org
In fair division problems, we are given a set $ S $ of $ m $ items and a set $ N $ of $ n $
agents with individual preferences, and the goal is to find an allocation of items among …

Efficient nearly-fair division with capacity constraints

H Shoshan, E Segal-Halevi, N Hazon - arXiv preprint arXiv:2205.07779, 2022 - arxiv.org
We consider the problem of fairly and efficiently allocating indivisible items (goods or bads)
under capacity constraints. In this setting, we are given a set of categorized items. Each …

Fair Allocation of goods and chores--Tutorial and Survey of Recent Results

S Mishra, M Padala, S Gujar - arXiv preprint arXiv:2307.10985, 2023 - arxiv.org
Fair resource allocation is an important problem in many real-world scenarios, where
resources such as goods and chores must be allocated among agents. In this survey, we …

Nash social welfare in selfish and online load balancing

V Bilò, G Monaco, L Moscardelli, C Vinci - ACM Transactions on …, 2022 - dl.acm.org
In load-balancing problems there is a set of clients, each wishing to select a resource from a
set of permissible ones to execute a certain task. Each resource has a latency function …

(Almost) Envy-Free, Proportional and Efficient Allocations of an Indivisible Mixed Manna

V Livanos, R Mehta, A Murhekar - arXiv preprint arXiv:2202.02672, 2022 - arxiv.org
We study the problem of finding fair and efficient allocations of a set of indivisible items to a
set of agents, where each item may be a good (positively valued) for some agents and a bad …

A Complete Landscape of EFX Allocations of Mixed Manna on Graphs

Y Zhou, T Wei, M Li, B Li - arXiv preprint arXiv:2409.03594, 2024 - arxiv.org
We study envy-free up to any item (EFX) allocations on graphs where vertices and edges
represent agents and items respectively. An agent is only interested in items that are …