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Related papers: On Optimal Tradeoffs between EFX and Nash Welfare

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We introduce and analyze new envy-based fairness concepts for agents with weights that quantify their entitlements in the allocation of indivisible items. We propose two variants of weighted envy-freeness up to one item (WEF1): strong,…

Artificial Intelligence · Computer Science 2021-08-18 Mithun Chakraborty , Ayumi Igarashi , Warut Suksompong , Yair Zick

We study coverage problems in which, for a set of agents and a given threshold $T$, the goal is to select $T$ subsets (of the agents) that, while satisfying combinatorial constraints, achieve fair and efficient coverage among the agents. In…

Computer Science and Game Theory · Computer Science 2022-07-06 Siddharth Barman , Anand Krishna , Y. Narahari , Soumyarup Sadhukhan

We study the problem of maximizing Nash social welfare, which is the geometric mean of agents' utilities, in two well-known models. The first model involves one-sided preferences, where a set of indivisible items is allocated among a group…

Computer Science and Game Theory · Computer Science 2025-05-19 Salil Gokhale , Harshul Sagar , Rohit Vaish , Vignesh Viswanathan , Jatin Yadav

We study the fair allocation of indivisible resources among agents. Most prior work focuses on fairness and/or efficiency among agents. However, the allocator, as the resource owner, may also be involved in many scenarios (e.g., government…

Computer Science and Game Theory · Computer Science 2025-06-10 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

We explore solutions for fairly allocating indivisible items among agents assigned weights representing their entitlements. Our fairness goal is weighted-envy-freeness (WEF), where each agent deems their allocated portion relative to their…

Computer Science and Game Theory · Computer Science 2025-03-07 Noga Klein Elmalem , Haris Aziz , Rica Gonen , Xin Huang , Kei Kimura , Indrajit Saha , Erel Segal-Halevi , Zhaohong Sun , Mashbat Suzuki , Makoto Yokoo

The $\alpha$-fair resource allocation problem has received remarkable attention and has been studied in numerous application fields. Several algorithms have been proposed in the context of $\alpha$-fair resource sharing to distributively…

Networking and Internet Architecture · Computer Science 2018-02-09 Zaid Allybokus , Konstantin Avrachenkov , Jérémie Leguay , Lorenzo Maggi

Optimization models generally aim for efficiency by maximizing total benefit or minimizing cost. Yet a trade-off between fairness and efficiency is an important element of many practical decisions. We propose a principled and practical…

Optimization and Control · Mathematics 2020-06-11 Violet Xinying Chen , J. N. Hooker

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 (negatively valued) for others, i.e., a mixed…

Computer Science and Game Theory · Computer Science 2022-02-08 Vasilis Livanos , Ruta Mehta , Aniket Murhekar

We study the problem of fairly allocating a multiset $M$ of $m$ indivisible items among $n$ agents with additive valuations. Specifically, we introduce a parameter $t$ for the number of distinct types of items and study fair allocations of…

Computer Science and Game Theory · Computer Science 2023-03-30 Pranay Gorantla , Kunal Marwaha , Santhoshini Velusamy

We study the problem of allocating a set of indivisible goods to a set of agents with additive valuation functions, aiming to achieve approximate envy-freeness up to any good ($\alpha$-EFX). The state-of-the-art results on the problem…

Computer Science and Game Theory · Computer Science 2025-04-24 Georgios Amanatidis , Aris Filos-Ratsikas , Alkmini Sgouritsa

For the fundamental problem of fairly dividing a set of indivisible items among agents, envy-freeness up to any item (EFX) and maximin fairness (MMS) are arguably the most compelling fairness concepts proposed until now. Unfortunately,…

Computer Science and Game Theory · Computer Science 2025-01-15 Ioannis Caragiannis , Jugal Garg , Nidhi Rathi , Eklavya Sharma , Giovanna Varricchio

Social commerce platforms are emerging businesses where producers sell products through re-sellers who advertise the products to other customers in their social network. Due to the increasing popularity of this business model, thousands of…

We study the fundamental problem of fairly dividing a set of indivisible items among agents with (general) monotone valuations. The notion of envy-freeness up to any item (EFX) is considered to be one of the most fascinating fairness…

Computer Science and Game Theory · Computer Science 2024-06-13 Hannaneh Akrami , Nidhi Rathi

We study the problem of fairly allocating either a set of indivisible goods or a set of mixed divisible and indivisible goods (i.e., mixed goods) to agents with additive utilities, taking the best-of-both-worlds perspective of guaranteeing…

Computer Science and Game Theory · Computer Science 2024-10-25 Xiaolin Bu , Zihao Li , Shengxin Liu , Xinhang Lu , Biaoshuai Tao

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 results for most of these concepts, great attention has…

Computer Science and Game Theory · Computer Science 2021-03-09 Georgios Amanatidis , Apostolos Ntokos , Evangelos Markakis

We consider the problem of fair allocation of indivisible goods among agents with additive valuations, aiming for Best-of-Both-Worlds (BoBW) fairness: a distribution over allocations that is ex-ante fair, and additionally, it is supported…

Computer Science and Game Theory · Computer Science 2026-02-17 Moshe Babaioff , Gefen Frosh

In bandwidth allocation, competing agents wish to transmit data along paths of links in a network, and each agent's utility is equal to the minimum bandwidth she receives among all links in her desired path. Recent market mechanisms for…

Computer Science and Game Theory · Computer Science 2019-05-08 Benjamin Plaut

The theory of two-sided matching has been extensively developed and applied to many real-life application domains. As the theory has been applied to increasingly diverse types of environments, researchers and practitioners have encountered…

Computer Science and Game Theory · Computer Science 2024-02-05 Sung-Ho Cho , Kei Kimura , Kiki Liu , Kwei-guu Liu , Zhengjie Liu , Zhaohong Sun , Kentaro Yahiro , Makoto Yokoo

We explore solutions for fairly allocating indivisible items among agents assigned weights representing their entitlements. Our fairness goal is weighted-envy-freeness (WEF), where each agent deems their allocated portion relative to their…

Computer Science and Game Theory · Computer Science 2025-02-25 Noga Klein Elmalem , Rica Gonen , Erel Segal-Halevi

We study fair allocation of indivisible goods among agents with additive valuations. We obtain novel approximation guarantees for three of the strongest fairness notions in discrete fair division, namely envy-free up to the removal of any…

Computer Science and Game Theory · Computer Science 2023-12-22 Siddharth Barman , Debajyoti Kar , Shraddha Pathak
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