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相关论文: On the Hardness of Fair Allocation under Ternary V…

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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

Most of the existing algorithms for fair division do not consider externalities. Under externalities, the utility an agent obtains depends not only on its allocation but also on the allocation of other agents. An agent has a positive…

计算机科学与博弈论 · 计算机科学 2022-02-28 Shaily Mishra , Manisha Padala , Sujit Gujar

We establish a compatibility between fairness and efficiency, captured via Nash Social Welfare (NSW), under the broad class of subadditive valuations. We prove that, for subadditive valuations, there always exists a partial allocation that…

计算机科学与博弈论 · 计算机科学 2025-11-10 Siddharth Barman , Mashbat Suzuki

We consider the problem of allocating a set of divisible goods to $N$ agents in an online manner, aiming to maximize the Nash social welfare, a widely studied objective which provides a balance between fairness and efficiency. The goods…

计算机科学与博弈论 · 计算机科学 2021-08-04 Siddhartha Banerjee , Vasilis Gkatzelis , Artur Gorokh , Billy Jin

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

Fair division of indivisible goods is a central challenge in artificial intelligence. For many prominent fairness criteria including envy-freeness (EF) or proportionality (PROP), no allocations satisfying these criteria might exist. Two…

计算机科学与博弈论 · 计算机科学 2022-09-09 Martin Hoefer , Marco Schmalhofer , Giovanna Varricchio

Allocating items in a fair and economically efficient manner is a central problem in fair division. We study this problem for agents with additive preferences, when items are all goods or all chores, divisible or indivisible. The celebrated…

计算机科学与博弈论 · 计算机科学 2026-02-13 Owen Eckart , Alexandros Psomas , Paritosh Verma

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…

计算机科学与博弈论 · 计算机科学 2020-06-02 Bhaskar Ray Chaudhury , Jugal Garg , Kurt Mehlhorn

We generalize the classic problem of fairly allocating indivisible goods to the problem of \emph{fair public decision making}, in which a decision must be made on several social issues simultaneously, and, unlike the classic setting, a…

计算机科学与博弈论 · 计算机科学 2017-06-01 Vincent Conitzer , Rupert Freeman , Nisarg Shah

The maximization of Nash welfare, which equals the geometric mean of agents' utilities, is widely studied because it balances efficiency and fairness in resource allocation problems. Banerjee, Gkatzelis, Gorokh, and Jin (2022) recently…

数据结构与算法 · 计算机科学 2024-11-11 Zhiyi Huang , Minming Li , Xinkai Shu , Tianze Wei

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

We study fair allocation of indivisible items, where the items are furnished with a set of conflicts, and agents are not permitted to receive conflicting items. This kind of constraint captures, for example, participating in events that…

计算机科学与博弈论 · 计算机科学 2022-02-01 Halvard Hummel , Magnus Lie Hetland

Ensuring fairness while limiting costs, such as transportation or storage, is an important challenge in resource allocation, yet most work has focused on cost minimization without fairness or fairness without explicit cost considerations.…

计算机科学与博弈论 · 计算机科学 2026-01-19 Eva Deltl

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

We consider the problem of fairly allocating a set of indivisible goods among agents with additive valuations. Ex-ante fairness (proportionality) can trivially be obtained by giving all goods to a random agent. Yet, such an allocation is…

计算机科学与博弈论 · 计算机科学 2026-01-26 Moshe Babaioff , Yuval Grofman

We study the max-min fair allocation problem in which a set of $m$ indivisible items are to be distributed among $n$ agents such that the minimum utility among all agents is maximized. In the restricted setting, the utility of each item $j$…

离散数学 · 计算机科学 2016-11-28 T-H. Hubert Chan , Zhihao Gavin Tang , Xiaowei Wu

Envy-freeness is one of the most prominent fairness concepts in the allocation of indivisible goods. Even though trivial envy-free allocations always exist, rich literature shows this is not true when one additionally requires some…

计算机科学与博弈论 · 计算机科学 2025-02-19 Robert Bredereck , Andrzej Kaczmarczyk , Junjie Luo , Bin Sun

We consider fair division of a set of indivisible goods among $n$ agents with additive valuations using the fairness notion of maximin share (MMS). MMS is the most popular share-based notion, in which an agent finds an allocation fair to…

计算机科学与博弈论 · 计算机科学 2024-02-19 Hannaneh Akrami , Jugal Garg , Eklavya Sharma , Setareh Taki

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…

计算机科学与博弈论 · 计算机科学 2025-06-10 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

We study the computational complexity of fairly allocating a set of indivisible items under externalities. In this recently-proposed setting, in addition to the utility the agent gets from their bundle, they also receive utility from items…

计算机科学与博弈论 · 计算机科学 2024-04-16 Argyrios Deligkas , Eduard Eiben , Viktoriia Korchemna , Šimon Schierreich