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We study fair division of indivisible mixed manna (items whose values may be positive, negative, or zero) among agents with additive valuations. Here, we establish that fairness -- in terms of a relaxation of envy-freeness -- and Pareto…

计算机科学与博弈论 · 计算机科学 2025-10-16 Siddharth Barman , Vishwa Prakash HV , Aditi Sethia , Mashbat Suzuki

We study the problem of allocating indivisible chores among agents with additive cost functions in a fair and efficient manner. A major open question in this area is whether there always exists an allocation that is envy-free up to one…

计算机科学与博弈论 · 计算机科学 2025-11-27 Ryoga Mahara

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…

计算机科学与博弈论 · 计算机科学 2022-08-30 Umang Bhaskar , A. R. Sricharan , Rohit Vaish

We study the problem of fair and efficient allocation of a set of indivisible chores to agents with additive cost functions. We consider the popular fairness notion of envy-freeness up to one good (EF1) with the efficiency notion of…

计算机科学与博弈论 · 计算机科学 2021-10-20 Jugal Garg , Aniket Murhekar , John Qin

We study the problem of fair division when the resources contain both divisible and indivisible goods. Classic fairness notions such as envy-freeness (EF) and envy-freeness up to one good (EF1) cannot be directly applied to the mixed goods…

计算机科学与博弈论 · 计算机科学 2021-01-28 Xiaohui Bei , Zihao Li , Jinyan Liu , Shengxin Liu , Xinhang Lu

We study fair division of indivisible chores among $n$ agents with additive disutility functions. Two well-studied fairness notions for indivisible items are envy-freeness up to one/any item (EF1/EFX) and the standard notion of economic…

计算机科学与博弈论 · 计算机科学 2023-05-23 Hannaneh Akrami , Bhaskar Ray Chaudhury , Jugal Garg , Kurt Mehlhorn , Ruta Mehta

We formulate the problem of fair and efficient completion of indivisible goods, defined as follows: Given a partial allocation of indivisible goods among agents, does there exist an allocation of the remaining goods (i.e., a completion)…

计算机科学与博弈论 · 计算机科学 2024-12-30 Vishwa Prakash HV , Ayumi Igarashi , Rohit Vaish

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…

计算机科学与博弈论 · 计算机科学 2022-02-08 Vasilis Livanos , Ruta Mehta , Aniket Murhekar

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…

计算机科学与博弈论 · 计算机科学 2025-05-16 Hadi Hosseini , Joshua Kavner , Tomasz Wąs , Lirong Xia

We study the problem of allocating indivisible goods among agents with additive valuation functions to achieve both fairness and efficiency under the constraint that each agent receives exactly the same number of goods (the \emph{balanced…

计算机科学与博弈论 · 计算机科学 2026-03-09 Yasushi Kawase , Ryoga Mahara

We study the fair allocation of mixtures of indivisible goods and chores under lexicographic preferences$\unicode{x2014}$a subdomain of additive preferences. A prominent fairness notion for allocating indivisible items is envy-freeness up…

计算机科学与博弈论 · 计算机科学 2023-05-08 Hadi Hosseini , Aghaheybat Mammadov , Tomasz Wąs

We study several fairness notions in allocating indivisible chores (i.e., items with non-positive values) to agents who have additive and submodular cost functions. The fairness criteria we are concern with are envy-free up to any item…

计算机科学与博弈论 · 计算机科学 2021-09-29 Ankang Sun , Bo Chen , Xuan Vinh Doan

We study the problem of fairly allocating indivisible goods and chores under category constraints. Specifically, there are $n$ agents and $m$ indivisible items which are partitioned into categories with associated capacities. An allocation…

计算机科学与博弈论 · 计算机科学 2026-04-21 Ayumi Igarashi , Frédéric Meunier

We study a fair division model where indivisible items arrive sequentially, and must be allocated immediately and irrevocably. Previous work on online fair division has shown impossibility results in achieving approximate envy-freeness…

计算机科学与博弈论 · 计算机科学 2024-10-21 Edith Elkind , Alexander Lam , Mohamad Latifian , Tzeh Yuan Neoh , Nicholas Teh

We study fair division of indivisible mixed manna when agents have unequal entitlements, with weighted envy-freeness up to one item (WEF1) as our primary notion of fairness. We identify several shortcomings of existing techniques to achieve…

计算机科学与博弈论 · 计算机科学 2024-10-18 Jugal Garg , Eklavya Sharma

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…

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…

计算机科学与博弈论 · 计算机科学 2023-01-20 Xiaowei Wu , Cong Zhang , Shengwei Zhou

We consider a multi-agent resource allocation setting in which an agent's utility may decrease or increase when an item is allocated. We take the group envy-freeness concept that is well-established in the literature and present stronger…

计算机科学与博弈论 · 计算机科学 2019-07-23 Haris Aziz , Simon Rey

We study the fair allocation of indivisible goods with variable groups. In this model, the goal is to partition the agents into groups of given sizes and allocate the goods to the groups in a fair manner. We show that for any number of…

计算机科学与博弈论 · 计算机科学 2025-11-11 Paul Gölz , Ayumi Igarashi , Pasin Manurangsi , Warut Suksompong

We revisit the setting of fair allocation of indivisible items among agents with heterogeneous, non-monotone valuations. We explore the existence and efficient computation of allocations that approximately satisfy either envy-freeness or…

计算机科学与博弈论 · 计算机科学 2025-10-09 Vittorio Bilò , Martin Loebl , Cosimo Vinci
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