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This work is motivated by a common urban renewal process called Reconstruct and Divide. It involves the demolition of old buildings and the construction of new ones. Original homeowners are compensated with upgraded apartments, while…

Computer Science and Game Theory · Computer Science 2026-02-23 Noga Klein Elmalem , Rica Gonen , Erel Segal-Halevi

Single minded agents have strict preferences, in which a bundle is acceptable only if it meets a certain demand. Such preferences arise naturally in scenarios such as allocating computational resources among users, where the goal is to…

Computer Science and Game Theory · Computer Science 2016-04-29 Simina Brânzei , Yuezhou Lv , Ruta Mehta

Graph Neural Networks (GNNs) have proven to excel in predictive modeling tasks where the underlying data is a graph. However, as GNNs are extensively used in human-centered applications, the issue of fairness has arisen. While edge deletion…

Machine Learning · Computer Science 2022-02-17 Donald Loveland , Jiayi Pan , Aaresh Farrokh Bhathena , Yiyang Lu

We consider the problem of dividing limited resources to individuals arriving over $T$ rounds. Each round has a random number of individuals arrive, and individuals can be characterized by their type (i.e. preferences over the different…

Computer Science and Game Theory · Computer Science 2022-10-03 Sean R. Sinclair , Gauri Jain , Siddhartha Banerjee , Christina Lee Yu

Edge-centric distributed computations have appeared as a recent technique to improve the shortcomings of think-like-a-vertex algorithms on large scale-free networks. In order to increase parallelism on this model, edge partitioning -…

Data Structures and Algorithms · Computer Science 2018-10-12 Sebastian Schlag , Christian Schulz , Daniel Seemaier , Darren Strash

We present a simple local search algorithm for computing EFX (envy-free up to any good) allocations of $m$ indivisible goods among $n$ agents with additive valuations. EFX is a compelling fairness notion, and whether such allocations always…

Computer Science and Game Theory · Computer Science 2025-10-08 Simina Brânzei

We study the fair allocation of indivisible goods among agents with identical, additive valuations but individual budget constraints. Here, the indivisible goods--each with a specific size and value--need to be allocated such that the…

Computer Science and Game Theory · Computer Science 2023-03-20 Siddharth Barman , Arindam Khan , Sudarshan Shyam , K. V. N. Sreenivas

We propose a notion of fairness for allocation problems in which different agents may have different reservation utilities, stemming from different outside options, or property rights. Fairness is usually understood as the absence of envy,…

Theoretical Economics · Economics 2020-05-12 Federico Echenique , Antonio Miralles , Jun Zhang

The classic house allocation problem involves assigning $m$ houses to $n$ agents based on their utility functions, ensuring each agent receives exactly one house. A key criterion in these problems is satisfying fairness constraints such as…

Computer Science and Game Theory · Computer Science 2024-08-23 Sijia Dai , Yankai Chen , Xiaowei Wu , Yicheng Xu , Yong Zhang

We here address the problem of fairly allocating indivisible goods or chores to $n$ agents with weights that define their entitlement to the set of indivisible resources. Stemming from well-studied fairness concepts such as envy-freeness up…

Computer Science and Game Theory · Computer Science 2023-12-19 MohammadTaghi Hajiaghayi , Max Springer , Hadi Yami

The usual definitions of algorithmic fairness focus on population-level statistics, such as demographic parity or equal opportunity. However, in many social or economic contexts, fairness is not perceived globally, but locally, through an…

Theoretical Economics · Economics 2026-01-14 Arthur Charpentier

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…

Computer Science and Game Theory · Computer Science 2022-12-05 Zheng Chen , Bo Li , Minming Li , Guochuan Zhang

We have a set of processors (or agents) and a set of graph networks defined over some vertex set. Each processor can access a subset of the graph networks. Each processor has a demand specified as a pair of vertices $<u, v>$, along with a…

Data Structures and Algorithms · Computer Science 2012-10-08 Venkatesan T. Chakaravarthy , Sambuddha Roy , Yogish Sabharwal

The theory of two-sided matching has been extensively developed and applied to many real-life application domains. As the theory has been applied to increasingly diverse types of environments, researchers and practitioners have encountered…

Computer Science and Game Theory · Computer Science 2024-02-05 Sung-Ho Cho , Kei Kimura , Kiki Liu , Kwei-guu Liu , Zhengjie Liu , Zhaohong Sun , Kentaro Yahiro , Makoto Yokoo

We consider the problem of envy-free cake cutting, which is the distribution of a continuous heterogeneous resource among self interested players such that nobody prefers what somebody else receives to what they get. Existing work has…

Computer Science and Game Theory · Computer Science 2018-01-26 Eshwar Ram Arunachaleswaran , Ragavendran Gopalakrishnan

Envy-Freeness is one of the most fundamental and important concepts in fair allocation. Some recent studies have focused on the concept of weighted envy-freeness. Under this concept, each agent is assigned a weight, and their valuations are…

Computer Science and Game Theory · Computer Science 2025-05-09 Yuxi Liu , Mingyu Xiao

We consider a classical envy-free cake cutting problem. The first limited protocol was proposed by Aziz and McKenzie in 2016 arXiv:1604.03655. The disadvantage of this protocol is its high complexity. The authors proved that the maximum…

Computational Complexity · Computer Science 2023-06-07 Georgy Sokolov

An ordering of the vertices of a graph is \emph{connected} if every vertex (but the first) has a neighbor among its predecessors. The greedy colouring algorithm of a graph with a connected order consists in taking the vertices in order, and…

Discrete Mathematics · Computer Science 2018-06-08 Ngoc Khang Le , Nicolas Trotignon

The rise of graph representation learning as the primary solution for many different network science tasks led to a surge of interest in the fairness of this family of methods. Link prediction, in particular, has a substantial social…

Machine Learning · Computer Science 2023-02-23 Indro Spinelli , Riccardo Bianchini , Simone Scardapane

The problem of dividing resources fairly occurs in many practical situations and is therefore an important topic of study in economics. In this paper, we investigate envy-free divisions in the setting where there are multiple players in…

Computer Science and Game Theory · Computer Science 2020-01-17 Pasin Manurangsi , Warut Suksompong