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相关论文: Fair Assignment of Indivisible Chores to Asymmetri…

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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…

计算机科学与博弈论 · 计算机科学 2019-06-19 Haris Aziz , Hau Chan , Bo Li

We study the fair allocation of indivisible chores among agents with asymmetric weights. Among the various fairness notions, weighted maximin share (WMMS) stands out as particularly compelling. However, whether WMMS admits a constant-factor…

计算机科学与博弈论 · 计算机科学 2025-10-09 Bo Li , Fangxiao Wang , Shiji Xing

This work addresses fair allocation of indivisible items in settings wherein it is feasible to create copies of resources or dispose of tasks. We establish that exact maximin share (MMS) fairness can be achieved via limited duplication of…

计算机科学与博弈论 · 计算机科学 2025-03-18 Siddharth Barman , Satyanand Rammohan , Aditi Sethia

We study the problem of fair division of indivisible chores among $n$ agents in an online setting, where items arrive sequentially and must be allocated irrevocably upon arrival. The goal is to produce an $\alpha$-MMS allocation at the end.…

计算机科学与博弈论 · 计算机科学 2025-10-14 Jiaxin Song , Biaoshuai Tao , Wenqian Wang , Yuhao Zhang

We study the problem of allocating $m$ indivisible chores to $n$ agents with additive cost functions under the fairness notion of maximin share (MMS). In this work, we propose a notion called $\alpha$-approximate all-but-one maximin share…

计算机科学与博弈论 · 计算机科学 2024-10-17 Jiawei Qiu , Xiaowei Wu , Cong Zhang , Shengwei Zhou

We consider the problem of approximate maximin share (MMS) allocation of indivisible items among three agents with additive valuation functions. For goods, we show that an $\frac{11}{12}$ - MMS allocation always exists, improving over the…

计算机科学与博弈论 · 计算机科学 2022-05-12 Uriel Feige , Alexey Norkin

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…

计算机科学与博弈论 · 计算机科学 2023-05-19 Bo Li , Fangxiao Wang , Yu Zhou

We study the problem of fairly allocating indivisible goods when limited sharing is allowed, that is, each good may be allocated to up to $k$ agents, while incurring a cost for sharing. While classic maximin share (MMS) allocations may not…

计算机科学与博弈论 · 计算机科学 2026-03-05 Hana Salavcova , Martin Černý , Arpita Biswas

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…

计算机科学与博弈论 · 计算机科学 2024-11-08 Jugal Garg , Xin Huang , Erel Segal-Halevi

The maximin share (MMS) guarantee is a desirable fairness notion for allocating indivisible goods. While MMS allocations do not always exist, several approximation techniques have been developed to ensure that all agents receive a fraction…

计算机科学与博弈论 · 计算机科学 2021-05-21 Hadi Hosseini , Andrew Searns

We study the problem of allocating indivisible goods among n agents in a fair manner. For this problem, maximin share (MMS) is a well-studied solution concept which provides a fairness threshold. Specifically, maximin share is defined as…

计算机科学与博弈论 · 计算机科学 2017-11-22 Siddharth Barman , Arpita Biswas , Sanath Kumar Krishnamurthy , Y. Narahari

We consider the problem of fairly allocating a sequence of indivisible items that arrive online in an arbitrary order to a group of n agents with additive normalized valuation functions. We consider both the allocation of goods and chores…

计算机科学与博弈论 · 计算机科学 2023-04-27 Shengwei Zhou , Rufan Bai , Xiaowei Wu

Maximin share (MMS) allocations are a popular relaxation of envy-free allocations that have received wide attention in the fair division of indivisible items. Although MMS allocations of goods can fail to exist, previous work has found…

计算机科学与博弈论 · 计算机科学 2024-09-04 Kevin Hsu

We study the problem of fairly allocating indivisible goods among a set of agents. Our focus is on the existence of allocations that give each agent their maximin fair share--the value they are guaranteed if they divide the goods into as…

计算机科学与博弈论 · 计算机科学 2024-07-19 Sirin Botan , Angus Ritossa , Mashbat Suzuki , Toby Walsh

The real-world deployment of fair allocation algorithms usually involves a heterogeneous population of users, which makes it challenging for the users to get complete knowledge of the allocation except for their own bundles. Chan et al.…

计算机科学与博弈论 · 计算机科学 2023-08-31 Tianze Wei , Bo Li , Minming Li

We study fair resource allocation when the resources contain a mixture of divisible and indivisible goods, focusing on the well-studied fairness notion of maximin share fairness (MMS). With only indivisible goods, a full MMS allocation may…

计算机科学与博弈论 · 计算机科学 2021-07-02 Xiaohui Bei , Shengxin Liu , Xinhang Lu , Hongao Wang

We consider Max-min Share (MmS) allocations of items both in the case where items are goods (positive utility) and when they are chores (negative utility). We show that fair allocations of goods and chores have some fundamental connections…

计算机科学与博弈论 · 计算机科学 2016-04-07 Haris Aziz , Gerhard Rauchecker , Guido Schryen , Toby Walsh

We study the problem of fairly allocating a set of indivisible items to a set of agents with additive valuations. Recently, Feige et al. (WINE'21) proved that a maximin share (MMS) allocation exists for all instances with $n$ agents and no…

计算机科学与博弈论 · 计算机科学 2023-02-02 Halvard Hummel

We study the problem of allocating indivisible chores to agents under the Maximin share (MMS) fairness notion. The chores are embedded on a graph and each bundle of chores assigned to an agent should be connected. Although there is a simple…

数据结构与算法 · 计算机科学 2023-02-28 Mingyu Xiao , Guoliang Qiu , Sen Huang

We study the problem of fairly allocating a set of m indivisible chores (items with non-positive value) to n agents. We consider the desirable fairness notion of 1-out-of-d maximin share (MMS) -- the minimum value that an agent can…

计算机科学与博弈论 · 计算机科学 2022-01-20 Hadi Hosseini , Andrew Searns , Erel Segal-Halevi
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