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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 consider the problem of fairly dividing a set of items. Much of the fair division literature assumes that the items are `goods' i.e., they yield positive utility for the agents. There is also some work where the items are `chores' that…

计算机科学与博弈论 · 计算机科学 2021-03-18 Haris Aziz , Ioannis Caragiannis , Ayumi Igarashi , Toby Walsh

Finding a maximum cut is a fundamental task in many computational settings. Surprisingly, it has been insufficiently studied in the classic distributed settings, where vertices communicate by synchronously sending messages to their…

数据结构与算法 · 计算机科学 2017-07-27 Keren Censor-Hillel , Rina Levy , Hadas Shachnai

We study fairness in the allocation of discrete goods. Exactly fair (envy-free) allocations are impossible, so we discuss notions of approximate fairness. In particular, we focus on allocations in which the swap of two items serves to…

理论经济学 · 经济学 2025-08-14 Federico Echenique , Sumit Goel , SangMok Lee

We study the allocation of shared resources over multiple rounds among competing agents, via the dynamic max-min fair (DMMF) mechanism: the good in each round is allocated to the requesting agent with the least number of allocations…

计算机科学与博弈论 · 计算机科学 2025-06-13 Giannis Fikioris , Siddhartha Banerjee , Éva Tardos

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

Although resource allocation is a well studied problem in computer science, until the prevalence of distributed systems, such as computing clouds and data centres, the question had been addressed predominantly for single resource type…

计算机科学与博弈论 · 计算机科学 2025-12-29 Serdar Metin

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 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 problem of fair allocation for indivisible goods. We use the the maxmin share paradigm introduced by Budish as a measure for fairness. Procaccia and Wang (EC'14) were first to investigate this fundamental problem in the…

计算机科学与博弈论 · 计算机科学 2017-07-25 Mohammad Ghodsi , MohammadTaghi Hajiaghayi , Masoud Seddighin , Saeed Seddighin , Hadi Yami

The classic fair division problems assume the resources to be allocated are either divisible or indivisible, or contain a mixture of both, but the agents always have a predetermined and uncontroversial agreement on the (in)divisibility of…

计算机科学与博弈论 · 计算机科学 2025-03-31 Xiaohui Bei , Shengxin Liu , Xinhang Lu

Fair division considers the allocation of scarce resources among agents in such a way that every agent gets a fair share. It is a fundamental problem in society and has received significant attention and rapid developments from the game…

计算机科学与博弈论 · 计算机科学 2024-08-13 Shengxin Liu , Xinhang Lu , Mashbat Suzuki , Toby Walsh

We study fair division of indivisible goods in a single-parameter environment. In particular, we develop truthful social welfare maximizing mechanisms for fairly allocating indivisible goods. Our fairness guarantees are in terms of solution…

计算机科学与博弈论 · 计算机科学 2019-01-29 Siddharth Barman , Ganesh Ghalme , Shweta Jain , Pooja Kulkarni , Shivika Narang

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 up to any good (EFX) provides a strong and intuitive guarantee of fairness in the allocation of indivisible goods. But whether such allocations always exist or whether they can be efficiently computed remains an important open…

计算机科学与博弈论 · 计算机科学 2020-12-16 Hadi Hosseini , Sujoy Sikdar , Rohit Vaish , Lirong Xia

Behavioural economists have shown that people are often averse to inequality and will make choices to avoid unequal outcomes. In this paper, we consider how to allocate indivisible goods fairly so as to minimize inequality. We consider how…

计算机科学与博弈论 · 计算机科学 2018-10-15 Martin Aleksandrov , Cunjing Ge , Toby Walsh

We provide polynomial-time approximately optimal Bayesian mechanisms for makespan minimization on unrelated machines as well as for max-min fair allocations of indivisible goods, with approximation factors of $2$ and $\min\{m-k+1,…

计算机科学与博弈论 · 计算机科学 2014-05-26 Constantinos Daskalakis , S. Matthew Weinberg

We consider item allocation to individual agents who have additive valuations, in settings in which there are protected groups, and the allocation needs to give each protected group its "fair" share of the total welfare. Informally, within…

计算机科学与博弈论 · 计算机科学 2022-04-15 Uriel Feige , Yehonatan Tahan

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

The question of what can be computed, and how efficiently, are at the core of computer science. Not surprisingly, in distributed systems and networking research, an equally fundamental question is what can be computed in a…

分布式、并行与集群计算 · 计算机科学 2016-04-01 Fabian Kuhn , Thomas Moscibroda , Roger Wattenhofer