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相关论文: Maximin Fairness with Mixed Divisible and Indivisi…

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We study truthful mechanisms for approximating the Maximin-Share (MMS) allocation of agents with additive valuations for indivisible goods. Algorithmically, constant factor approximations exist for the problem for any number of agents. When…

计算机科学与博弈论 · 计算机科学 2024-06-12 Ilan Reuven Cohen , Alon Eden , Talya Eden , Arsen Vasilyan

The maximin share ($\textsf{MMS}$) is the most prominent share-based fairness notion in the fair allocation of indivisible goods. Recent years have seen significant efforts to improve the approximation guarantees for $\textsf{MMS}$ for…

计算机科学与博弈论 · 计算机科学 2025-10-14 Ehsan Heidari , Alireza Kaviani , Masoud Seddighin , AmirMohammad Shahrezaei

We study fair division of indivisible goods under the maximin share (MMS) fairness criterion in settings where agents are grouped into a small number of types, with agents within each type having identical valuations. For the special case…

计算机科学与博弈论 · 计算机科学 2025-03-05 Jugal Garg , Parnian Shahkar

We consider fair allocations of indivisible goods to agents with general monotone valuations. We observe that it is useful to introduce a new share-based fairness notion, the {\em residual maximin share} (RMMS). This share is {\em feasible}…

计算机科学与博弈论 · 计算机科学 2025-07-01 Uriel Feige

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

One of the important yet insufficiently studied subjects in fair allocation is the externality effect among agents. For a resource allocation problem, externalities imply that a bundle allocated to an agent may affect the utilities of other…

计算机科学与博弈论 · 计算机科学 2018-05-17 Mohammad Ghodsi , Hamed Saleh , Masoud Seddighin

We study the problem of computing maximin share guarantees, a recently introduced fairness notion. Given a set of $n$ agents and a set of goods, the maximin share of a single agent is the best that she can guarantee to herself, if she would…

计算机科学与博弈论 · 计算机科学 2018-06-12 Georgios Amanatidis , Evangelos Markakis , Afshin Nikzad , Amin Saberi

The fair allocation of mixed goods, consisting of both divisible and indivisible goods, has been a prominent topic of study in economics and computer science. We define an allocation as fair if its utility vector minimizes a symmetric…

计算机科学与博弈论 · 计算机科学 2024-07-10 Yasushi Kawase , Koichi Nishimura , Hanna Sumita

We consider the problem of fair allocation of indivisible goods to $n$ agents, with no transfers. When agents have equal entitlements, the well established notion of the maximin share (MMS) serves as an attractive fairness criterion, where…

计算机科学与博弈论 · 计算机科学 2021-11-16 Moshe Babaioff , Tomer Ezra , Uriel Feige

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 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…

计算机科学与博弈论 · 计算机科学 2025-10-07 Bo Li , Ankang Sun , Zunyu Wang , Yu Zhou

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

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…

计算机科学与博弈论 · 计算机科学 2021-01-15 Artem Baklanov , Pranav Garimidi , Vasilis Gkatzelis , Daniel Schoepflin

We study the problem of fair division of a set of indivisible goods with connectivity constraints. Specifically, we assume that the goods are represented as vertices of a connected graph, and sets of goods allocated to the agents are…

离散数学 · 计算机科学 2025-08-18 Václav Blažej , Michał Dębski , Zbigniew Lonc , Marta Piecyk , Paweł Rzążewski

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 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 envy-free allocations of indivisible goods to agents in settings where each agent is unaware of the goods allocated to other agents. In particular, we propose the maximin aware (MMA) fairness measure, which guarantees that every…

计算机科学与博弈论 · 计算机科学 2019-10-29 Hau Chan , Jing Chen , Bo Li , Xiaowei Wu

Fair division of indivisible goods is a very well-studied problem. The goal of this problem is to distribute $m$ goods to $n$ agents in a "fair" manner, where every agent has a valuation for each subset of goods. We assume general…

计算机科学与博弈论 · 计算机科学 2020-02-25 Bhaskar Ray Chaudhury , Tellikepalli Kavitha , Kurt Mehlhorn , Alkmini Sgouritsa

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 fair allocation of indivisible goods among agents with additive valuations. The fair division literature has traditionally focused on two broad classes of fairness notions: envy-based notions and share-based notions. Within the…

计算机科学与博弈论 · 计算机科学 2026-04-24 Hannaneh Akrami , Timo Reichert