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We consider fair allocation of indivisible items under an additional constraint: there is an undirected graph describing the relationship between the items, and each agent's share must form a connected subgraph of this graph. This framework…

计算机科学与博弈论 · 计算机科学 2017-06-07 Sylvain Bouveret , Katarína Cechlárová , Edith Elkind , Ayumi Igarashi , Dominik Peters

Fair graph partition of social networks is a crucial step toward ensuring fair and non-discriminatory treatments in unsupervised user analysis. Current fair partition methods typically consider node balance, a notion pursuing a…

社会与信息网络 · 计算机科学 2023-07-18 Tingwei Liu , Peizhao Li , Hongfu Liu

We consider the fair allocation of indivisible items to several agents and add a graph theoretical perspective to this classical problem. Namely, we introduce an incompatibility relation between pairs of items described in terms of a…

离散数学 · 计算机科学 2022-11-29 Nina Chiarelli , Matjaž Krnc , Martin Milanič , Ulrich Pferschy , Nevena Pivač , Joachim Schauer

A set of divisible resources becomes available over a sequence of rounds and needs to be allocated immediately and irrevocably. Our goal is to distribute these resources to maximize fairness and efficiency. Achieving any non-trivial…

计算机科学与博弈论 · 计算机科学 2020-09-29 Vasilis Gkatzelis , Alexandros Psomas , Xizhi Tan

We study the computational complexity of fair division of indivisible items in an enriched model: there is an underlying graph on the set of items. And we have to allocate the items (i.e., the vertices of the graph) to a set of agents in…

计算机科学与博弈论 · 计算机科学 2023-05-12 Jayakrishnan Madathil

We consider the problem of partitioning an undirected graph (representing a social network) over $n$ nodes and max degree $\Delta$ into $k$ equally sized parts. Each node in the graph, representing an agent, derives utility proportional to…

计算机科学与博弈论 · 计算机科学 2026-05-06 Vignesh Viswanathan

A set of objects is to be divided fairly among agents with different tastes, modeled by additive utility-functions. If we consider the objects as indivisible, many instances of the decision problem: ``Is there a fair division of the objects…

计算机科学与博弈论 · 计算机科学 2025-07-03 Samuel Bismuth , Ivan Bliznets , Erel Segal-Halevi

We consider the problem of fairly allocating the vertices of a graph among $n$ agents, where the value of a bundle is determined by its cut value -- the number of edges with exactly one endpoint in the bundle. This model naturally captures…

计算机科学与博弈论 · 计算机科学 2025-11-06 Hadi Hosseini , Shraddha Pathak , Yu Zhou

In standard fair division models, we assume that all agents are selfish. However, in many scenarios, division of resources has a direct impact on the whole group or even society. Therefore, we study fair allocations of indivisible items…

计算机科学与博弈论 · 计算机科学 2025-11-13 Argyris Deligkas , Eduard Eiben , Tiger-Lily Goldsmith , Dušan Knop , Šimon Schierreich

Information exchange is a crucial component of many real-world multi-agent systems. However, the communication between the agents involves two major challenges: the limited bandwidth, and the shared communication medium between the agents,…

多智能体系统 · 计算机科学 2021-02-18 Majid Raeis , S. Jamaloddin Golestani

We study the problem of fairly allocating indivisible goods to groups of agents. Agents in the same group share the same set of goods even though they may have different preferences. Previous work has focused on unanimous fairness, in which…

计算机科学与博弈论 · 计算机科学 2020-01-01 Erel Segal-Halevi , Warut Suksompong

Fair division is the problem of dividing one or several goods amongst two or more agents in a way that satisfies a suitable fairness criterion. These Notes provide a succinct introduction to the field. We cover three main topics. First, we…

人工智能 · 计算机科学 2018-06-13 Ulle Endriss

In this paper, we consider the problem of fair division of indivisible goods when the allocation of goods impacts society. Specifically, we introduce a second valuation function for each agent, determining the social impact of allocating a…

计算机科学与博弈论 · 计算机科学 2024-12-20 Michele Flammini , Gianluigi Greco , Giovanna Varricchio

We consider the age-old problem of allocating items among different agents in a way that is efficient and fair. Two papers, by Dolev et al. and Ghodsi et al., have recently studied this problem in the context of computer systems. Both…

计算机科学与博弈论 · 计算机科学 2012-04-20 Avital Gutman , Noam Nisan

The classical house allocation problem involves assigning $n$ houses (or items) to $n$ agents according to their preferences. A key criterion in such problems is satisfying some fairness constraints such as envy-freeness. We consider a…

计算机科学与博弈论 · 计算机科学 2023-09-20 Hadi Hosseini , Justin Payan , Rik Sengupta , Rohit Vaish , Vignesh Viswanathan

\textit{Fair division} of resources among competing agents is a fundamental problem in computational social choice and economic game theory. It has been intensively studied on various kinds of items (\textit{divisible} and…

计算机科学与博弈论 · 计算机科学 2023-10-03 Harmender Gahlawat , Meirav Zehavi

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

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

The theory of algorithmic fair allocation is within the center of multi-agent systems and economics in the last decade due to its industrial and social importance. At a high level, the problem is to assign a set of items that are either…

计算机科学与博弈论 · 计算机科学 2022-02-18 Haris Aziz , Bo Li , Herve Moulin , Xiaowei Wu

We study the computational complexity of finding fair allocations of indivisible goods in the setting where a social network on the agents is given. Notions of fairness in this context are "localized", that is, agents are only concerned…

计算机科学与博弈论 · 计算机科学 2021-11-24 Neeldhara Misra , Debanuj Nayak
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