[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 …

Allocating indivisible goods to strategic agents: Pure nash equilibria and fairness

G Amanatidis, G Birmpas, F Fusco… - Mathematics of …, 2024 - pubsonline.informs.org
We consider the problem of fairly allocating a set of indivisible goods to a set of strategic
agents with additive valuation functions. We assume no monetary transfers, and therefore, a …

Fair Shares: Feasibility, Domination, and Incentives

M Babaioff, U Feige - Mathematics of Operations Research, 2024 - pubsonline.informs.org
We consider fair allocation of indivisible goods to n equally entitled agents. Every agent i
has a valuation function vi from some given class of valuation functions. A share s is a …

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 …

The frontier of intractability for EFX with two agents

PW Goldberg, K Høgh, A Hollender - International Symposium on …, 2023 - Springer
We consider the problem of sharing a set of indivisible goods among agents in a fair
manner, namely such that the allocation is envy-free up to any good (EFX). We focus on the …

Incentive Ratios for Fairly Allocating Indivisible Goods: Simple Mechanisms Prevail

B Tao, M Yang - arxiv preprint arxiv:2306.15920, 2023 - arxiv.org
We study the problem of fairly allocating indivisible goods among strategic agents.
Amanatidis et al. show that truthfulness is incompatible with any meaningful fairness notions …

The Incentive Guarantees Behind Nash Welfare in Divisible Resources Allocation

X Bei, B Tao, J Wu, M Yang - arxiv preprint arxiv:2308.08903, 2023 - arxiv.org
We study the problem of allocating divisible resources among $ n $ agents, hopefully in a
fair and efficient manner. With the presence of strategic agents, additional incentive …

Complexity of round-robin allocation with potentially noisy queries

Z Li, P Manurangsi, J Scarlett… - … Symposium on Algorithmic …, 2024 - Springer
We study the complexity of a fundamental algorithm for fairly allocating indivisible items, the
round-robin algorithm. For n agents and m items, we show that the algorithm can be …

On Truthful Mechanisms without Pareto-efficiency: Characterizations and Fairness

M Babaioff, NM Morag - arxiv preprint arxiv:2411.11131, 2024 - arxiv.org
We consider the problem of allocating heterogeneous and indivisible goods among strategic
agents, with preferences over subsets of goods, when there is no medium of exchange. This …

Fair division with interdependent values

G Birmpas, T Ezra, S Leonardi, M Russo - International Symposium on …, 2024 - Springer
We introduce the study of designing allocation mechanisms for fairly allocating indivisible
goods in settings with interdependent valuation functions. In our setting, there is a set of …