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We study fair allocation of indivisible chores (i.e., items with non-positive value) among agents with additive valuations. An allocation is deemed fair if it is (approximately) equitable, which means that the disutilities of the agents are…

Computer Science and Game Theory · Computer Science 2020-02-27 Rupert Freeman , Sujoy Sikdar , Rohit Vaish , Lirong Xia

We investigate the existence of fair and efficient allocations of indivisible chores to asymmetric agents who have unequal entitlements or weights. We consider the fairness notion of weighted envy-freeness up to one chore (wEF1) and the…

Computer Science and Game Theory · Computer Science 2024-02-28 Jugal Garg , Aniket Murhekar , John Qin

We study the problem of allocating a set of indivisible chores to three agents, among whom two have additive cost functions, in a fair manner. Two fairness notions under consideration are envy-freeness up to any chore (EFX) and a relaxed…

Computer Science and Game Theory · Computer Science 2022-11-30 Lang Yin , Ruta Mehta

We study fair division of indivisible chores among $n$ agents with additive cost functions using the popular fairness notion of maximin share (MMS). Since MMS allocations do not always exist for more than two agents, the goal has been to…

Computer Science and Game Theory · Computer Science 2024-11-08 Jugal Garg , Xin Huang , Erel Segal-Halevi

We study the fair allocation of undesirable indivisible items, or chores. While the case of desirable indivisible items (or goods) is extensively studied, with many results known for different notions of fairness, less is known about the…

Computer Science and Game Theory · Computer Science 2022-08-30 Umang Bhaskar , A. R. Sricharan , Rohit Vaish

In a web-based review platform, papers from various research fields must be assigned to a group of reviewers. Each paper has an inherent cost, which represents the effort required for reading and evaluating it (e.g., the paper's length).…

Computer Science and Game Theory · Computer Science 2026-03-20 Zehan Lin , Xiaowei Wu , Shengwei Zhou

We study the maximin share (MMS) fair allocation of $m$ indivisible chores to $n$ agents who have costs for completing the assigned chores. It is known that exact MMS fairness cannot be guaranteed, and so far the best-known approximation…

Computer Science and Game Theory · Computer Science 2023-05-19 Bo Li , Fangxiao Wang , Yu Zhou

We study the fair division of indivisible chores among agents with additive disutility functions. We investigate the existence of allocations satisfying the popular fairness notion of envy-freeness up to any chore (EFX), and its…

Computer Science and Game Theory · Computer Science 2025-07-28 Jugal Garg , Aniket Murhekar

We study how to fairly allocate a set of indivisible chores to a group of agents, where each agent $i$ has a non-negative weight $w_i$ that represents its obligation for undertaking the chores. We consider the fairness notion of weighted…

Computer Science and Game Theory · Computer Science 2023-01-20 Xiaowei Wu , Cong Zhang , Shengwei Zhou

We consider the computation for allocations of indivisible chores that are approximately EFX and Pareto optimal (PO). Recently, Garg et al. (2024) show the existence of $3$-EFX and PO allocations for bi-valued instances, where the cost of…

Computer Science and Game Theory · Computer Science 2025-01-09 Zehan Lin , Xiaowei Wu , Shengwei Zhou

We study the problem of fairly allocating a set of chores to a group of agents. The existence of envy-free up to any item (EFX) allocations is a long-standing open question for both goods and chores. We resolve this question by providing a…

Computer Science and Game Theory · Computer Science 2024-06-18 Vasilis Christoforidis , Christodoulos Santorinaios

In this paper, we study how to fairly allocate m indivisible chores to n (asymmetric) agents. We consider (weighted) proportionality up to any item (PROPX) and show that a (weighted) PROPX allocation always exists and can be computed…

Computer Science and Game Theory · Computer Science 2021-11-01 Bo Li , Yingkai Li , Xiaowei Wu

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 delve into the intricacies of fair allocation, focusing specifically…

Computer Science and Game Theory · Computer Science 2023-07-24 Shaily Mishra , Manisha Padala , Sujit Gujar

A well-regarded fairness notion when dividing indivisible chores is envy-freeness up to one item (EF1), which requires that pairwise envy can be eliminated by the removal of a single item. While an EF1 and Pareto optimal (PO) allocation of…

Computer Science and Game Theory · Computer Science 2025-05-16 Hadi Hosseini , Joshua Kavner , Tomasz Wąs , Lirong Xia

We study the fair allocation of indivisible goods and chores under ordinal valuations for agents with unequal entitlements. We show the existence and polynomial time computation of weighted necessarily proportional up to one item…

Computer Science and Game Theory · Computer Science 2024-01-03 Vishwa Prakash H. V. , Prajakta Nimbhorkar

We study the fair division of indivisible items. In the general model, the goal is to allocate $m$ indivisible items to $n$ agents while satisfying fairness criteria such as MMS, EF1, and EFX. We also study a recently-introduced graphical…

Computer Science and Game Theory · Computer Science 2025-10-15 Kevin Hsu

The paper considers fair allocation of indivisible nondisposable items that generate disutility (chores). We assume that these items are placed in the vertices of a graph and each agent's share has to form a connected subgraph of this…

Artificial Intelligence · Computer Science 2018-12-06 Sylvain Bouveret , Katarína Cechlárová , Julien Lesca

We initiate the study of fair distribution of delivery tasks among a set of agents wherein delivery jobs are placed along the vertices of a graph. Our goal is to fairly distribute delivery costs (modeled as a submodular function) among a…

Computer Science and Game Theory · Computer Science 2025-06-23 Hadi Hosseini , Shivika Narang , Tomasz Wąs

We consider fair allocation of indivisible items in a model with goods, chores, and copies, as a unified framework for studying: (1)~the existence of EFX and other solution concepts for goods with copies; (2)~the existence of EFX and other…

Computer Science and Game Theory · Computer Science 2021-09-29 Yotam Gafni , Xin Huang , Ron Lavi , Inbal Talgam-Cohen

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 agents so that each agent finds the allocation fair. There are…