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We study the problem of fairly allocating a set of indivisible goods among agents with matroid rank valuations -- every good provides a marginal value of $0$ or $1$ when added to a bundle and valuations are submodular. We generalize the…

计算机科学与博弈论 · 计算机科学 2023-05-23 Vignesh Viswanathan , Yair Zick

We study the problem of fairly allocating indivisible items to agents with different entitlements, which captures, for example, the distribution of ministries among political parties in a coalition government. Our focus is on picking…

计算机科学与博弈论 · 计算机科学 2021-08-24 Mithun Chakraborty , Ulrike Schmidt-Kraepelin , Warut Suksompong

We study the computational complexity of fairly allocating indivisible, mixed-manna items. For basic measures of fairness, this problem is hard in general. Thus, research has flourished concerning input classes where efficient algorithms…

数据结构与算法 · 计算机科学 2024-09-09 Klaus Jansen , Alexandra Lassota , Malte Tutas , Adrian Vetta

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 design an expected polynomial-time, truthful-in-expectation, (1-1/e)-approximation mechanism for welfare maximization in a fundamental class of combinatorial auctions. Our results apply to bidders with valuations that are m matroid rank…

计算机科学与博弈论 · 计算机科学 2011-04-19 Shaddin Dughmi , Tim Roughgarden , Qiqi Yan

We propose a deep neural network-based solution to the problem of allocating indivisible goods under additive subjective valuations without monetary transfers, trading off economic efficiency with envy-based fairness. We introduce…

计算机科学与博弈论 · 计算机科学 2026-02-02 Chris Mascioli , Satyam Goyal , Mithun Chakraborty

We study two stylized, multi-agent models aimed at investing a limited, indivisible resource in public transportation. In the first model, we face the decision of which potential stops to open along a (e.g., bus) path, given agents' travel…

计算机科学与博弈论 · 计算机科学 2026-02-04 Martin Bullinger , Edith Elkind , Kassian Köck

We study the power of item-pricing as a tool for approximately optimizing social welfare in a combinatorial market. We consider markets with $m$ indivisible items and $n$ buyers. The goal is to set prices to the items so that, when agents…

计算机科学与博弈论 · 计算机科学 2015-11-10 Michal Feldman , Nick Gravin , Brendan Lucier

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

Motivated by real-world applications, we study the fair allocation of graphical resources, where the resources are the vertices in a graph. Upon receiving a set of resources, an agent's utility equals the weight of a maximum matching in the…

计算机科学与博弈论 · 计算机科学 2022-12-05 Zheng Chen , Bo Li , Minming Li , Guochuan Zhang

We consider the problem of allocating a set $I$ of $m$ indivisible resources (items) to a set $P$ of $n$ customers (players) competing for the resources. Each resource $j \in I$ has a same value $v_j > 0$ for a subset of customers…

数据结构与算法 · 计算机科学 2016-10-12 Kamyar Khodamoradi , Ramesh Krishnamurti , Arash Rafiey , Georgios Stamoulis

We consider the fair allocation of indivisible items to several agents with additional conflict constraints. These are represented by a conflict graph where each item corresponds to a vertex of the graph and edges in the graph represent…

离散数学 · 计算机科学 2023-08-21 Nina Chiarelli , Matjaž Krnc , Martin Milanič , Ulrich Pferschy , Joachim Schauer

Sequential allocation is a simple and widely studied mechanism to allocate indivisible items in turns to agents according to a pre-specified picking sequence of agents. At each turn, the current agent in the picking sequence picks its most…

数据结构与算法 · 计算机科学 2019-09-17 Mingyu Xiao , Jiaxing Ling

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 consider the problem of fairly and efficiently allocating indivisible items (goods or bads) under capacity constraints. In this setting, we are given a set of categorized items. Each category has a capacity constraint (the same for all…

计算机科学与博弈论 · 计算机科学 2023-03-01 Hila Shoshan , Erel Segal-Halevi , Noam Hazon

Motivated by emerging resource allocation and data placement problems such as web caches and peer-to-peer systems, we consider and study a class of resource allocation problems over a network of agents (nodes). In this model, nodes can…

计算机科学与博弈论 · 计算机科学 2020-01-07 S. Rasoul Etesami

Consider a barter exchange problem over a finite set of agents, where each agent owns an item and is also associated with a (privately known) wish list of items belonging to the other agents. An outcome of the problem is a (re)allocation of…

计算机科学与博弈论 · 计算机科学 2024-10-10 Yuval Emek , Matan-El Shpiro

We consider allocations of a set of $m$ indivisible goods to $n$ agents of equal entitlements that have valuations from the class XOS. A previous sequence of works showed allocations that obtain an $\alpha$-approximation for the maximin…

计算机科学与博弈论 · 计算机科学 2026-05-12 Uriel Feige , Vadim Grinberg

We consider the problem of fair allocation of $m$ indivisible items to a group of $n$ agents with subsidy (money). Our work mainly focuses on the allocation of chores but most of our results extend to the allocation of goods as well. We…

计算机科学与博弈论 · 计算机科学 2023-07-11 Xiaowei Wu , Cong Zhang , Shengwei Zhou

The fair division of resources is an important age-old problem that has led to a rich body of literature. At the center of this literature lies the question of whether there exist fair mechanisms despite strategic behavior of the agents. A…

计算机科学与博弈论 · 计算机科学 2017-05-16 Simina Brânzei , Vasilis Gkatzelis , Ruta Mehta