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 …

[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 …

Approximating Nash social welfare under submodular valuations through (un) matchings

J Garg, P Kulkarni, R Kulkarni - ACM Transactions on Algorithms, 2023 - dl.acm.org
We study the problem of approximating maximum Nash social welfare (NSW) when
allocating m indivisible items among n asymmetric agents with submodular valuations. The …

Fair algorithms for multi-agent multi-armed bandits

S Hossain, E Micha, N Shah - Advances in Neural …, 2021 - proceedings.neurips.cc
We propose a multi-agent variant of the classical multi-armed bandit problem, in which there
are $ N $ agents and $ K $ arms, and pulling an arm generates a (possibly different) …

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 …

Improving Nash social welfare approximations

P McGlaughlin, J Garg - Journal of Artificial Intelligence Research, 2020 - jair.org
We consider the problem of fairly allocating a set of indivisible goods among n agents.
Various fairness notions have been proposed within the rapidly growing field of fair division …

Auction algorithms for market equilibrium with weak gross substitute demands

J Garg, E Husić, LA Végh - arXiv preprint arXiv:1908.07948, 2019 - arxiv.org
We consider the Arrow--Debreu exchange market model under the assumption that the
agents' demands satisfy the weak gross substitutes (WGS) property. We present a simple …

Two birds with one stone: Fairness and welfare via transfers

VV Narayan, M Suzuki, A Vetta - … September 21–24, 2021, Proceedings 14, 2021 - Springer
We study the question of dividing a collection of indivisible items amongst a set of agents.
The main objective of research in the area is to achieve one of two goals: fairness or …

[HTML][HTML] Allocation of indivisible items with individual preference graphs

N Chiarelli, C Dallard, A Darmann, S Lendl… - Discrete Applied …, 2023 - Elsevier
This paper studies the allocation of indivisible items to agents, when each agent's
preferences are expressed by means of a directed acyclic graph. The vertices of each …