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Related papers: Achieving Maximin Share and EFX/EF1 Guarantees Sim…

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We consider the problem of fairly dividing indivisible goods among agents with additive valuations. It is known that an Epistemic EFX and $2/3$-MMS allocation can be obtained using the Envy-Cycle-Elimination (ECE) algorithm. In this work,…

Computer Science and Game Theory · Computer Science 2024-10-14 Jugal Garg , Eklavya Sharma

We initiate the study of indivisible chore allocation for agents with asymmetric shares. The fairness concept we focus on is the weighted natural generalization of maxmin share: WMMS fairness and OWMMS fairness. We first highlight the fact…

Computer Science and Game Theory · Computer Science 2019-06-19 Haris Aziz , Hau Chan , Bo Li

We study the problem of allocating indivisible items to budget-constrained agents, aiming to provide fairness and efficiency guarantees. Specifically, our goal is to ensure that the resulting allocation is envy-free up to any item (EFx)…

Computer Science and Game Theory · Computer Science 2023-08-04 Marius Garbea , Vasilis Gkatzelis , Xizhi Tan

We consider the problem of fairly allocating a combination of divisible and indivisible goods. While fairness criteria like envy-freeness (EF) and proportionality (PROP) can always be achieved for divisible goods, only their relaxed…

Computer Science and Game Theory · Computer Science 2024-04-30 Bo Li , Zihao Li , Shengxin Liu , Zekai Wu

We study the problem of allocating indivisible resources under the connectivity constraints of a graph $G$. This model, initially introduced by Bouveret et al. (published in IJCAI, 2017), effectively encompasses a diverse array of scenarios…

Computer Science and Game Theory · Computer Science 2024-08-27 Halvard Hummel , Ayumi Igarashi

We study the online fair division problem, where indivisible goods arrive sequentially and must be allocated immediately and irrevocably. Prior work establishes strong impossibility results for approximating classic notions such as…

Computer Science and Game Theory · Computer Science 2026-05-29 Davin Choo , Winston Fu , Derek Khu , Tzeh Yuan Neoh , Tze-Yang Poon , Nicholas Teh

We consider a fair division model in which agents have general valuations for bundles of indivisible items. We propose two new axiomatic properties for allocations in this model: EF1+- and EFX+-. We compare these with the existing EF1 and…

Computer Science and Game Theory · Computer Science 2020-06-24 Martin Aleksandrov

Fair division is the problem of allocating a set of items among agents in a fair manner. One of the most sought-after fairness notions is envy-freeness (EF), requiring that no agent envies another's allocation. When items are indivisible,…

Computer Science and Game Theory · Computer Science 2024-07-25 Jinghan A Zeng , Ruta Mehta

We study the problem of fairly and efficiently allocating indivisible goods among agents with additive valuations. We focus on envy-freeness up to any good (EFX) -- an important fairness notion in fair division of indivisible goods. A…

Computer Science and Game Theory · Computer Science 2026-01-08 Vladimir Davidiuk , Yuriy Dementiev , Artur Ignatiev , Danil Sagunov

In the allocation of indivisible goods, a prominent fairness notion is envy-freeness up to one good (EF1). We initiate the study of reachability problems in fair division by investigating the problem of whether one EF1 allocation can be…

Computer Science and Game Theory · Computer Science 2024-11-19 Ayumi Igarashi , Naoyuki Kamiyama , Warut Suksompong , Sheung Man Yuen

We study a fundamental fair allocation problem, where the agent's value is determined by the number of bins either used to pack or cover the items allocated to them. Fairness is evaluated using the maximin share (MMS) criterion. This…

Computer Science and Game Theory · Computer Science 2025-10-07 Bo Li , Ankang Sun , Zunyu Wang , Yu Zhou

This paper re-examines the problem of fairly and efficiently allocating indivisible goods among agents with additive bivalued valuations. Garg and Murhekar (2021) proposed a polynomial-time algorithm that purported to find an EFX and fPO…

Computer Science and Game Theory · Computer Science 2026-04-10 Hui Liu , Zhijie Zhang

We study the problem of distributing a set of indivisible items among agents with additive valuations in a $\mathit{fair}$ manner. The fairness notion under consideration is Envy-freeness up to any item (EFX). Despite significant efforts by…

Computer Science and Game Theory · Computer Science 2020-06-02 Bhaskar Ray Chaudhury , Jugal Garg , Kurt Mehlhorn

We investigate fairness in the allocation of indivisible items among groups of agents using the notion of maximin share (MMS). While previous work has shown that no nontrivial multiplicative MMS approximation can be guaranteed in this…

Computer Science and Game Theory · Computer Science 2025-03-06 Pasin Manurangsi , Warut Suksompong

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

Neural networks have shown state-of-the-art performance in designing auctions, where the network learns the optimal allocations and payment rule to ensure desirable properties. Motivated by the same, we focus on learning fair division of…

Computer Science and Game Theory · Computer Science 2021-12-13 Shaily Mishra , Manisha Padala , Sujit Gujar

Distributing services, goods, and tasks in the gig economy heavily relies upon on-demand workers (aka agents), leading to new challenges varying from logistics optimization to the ethical treatment of gig workers. We focus on fair and…

Computer Science and Game Theory · Computer Science 2025-03-21 Hadi Hosseini , Šimon Schierreich

Resource allocation is fundamental to a variety of societal decision-making settings, ranging from the distribution of charitable donations to assigning limited public housing among interested families. A central challenge in this context…

Computer Science and Game Theory · Computer Science 2025-06-11 Hadi Hosseini , Joshua Kavner , Sujoy Sikdar , Rohit Vaish , Lirong Xia

We study the problem of fairly allocating indivisible goods and focus on the classic fairness notion of proportionality. The indivisibility of the goods is long known to pose highly non-trivial obstacles to achieving fairness, and a very…

Computer Science and Game Theory · Computer Science 2021-01-15 Artem Baklanov , Pranav Garimidi , Vasilis Gkatzelis , Daniel Schoepflin

Envy-freeness is one of the most widely studied notions in fair division. Since envy-free allocations do not always exist when items are indivisible, several relaxations have been considered. Among them, possibly the most compelling concept…

Computer Science and Game Theory · Computer Science 2021-07-27 Ryoga Mahara