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We study the problem of allocating indivisible goods among agents in a fair manner. While envy-free allocations of indivisible goods are not guaranteed to exist, envy-freeness can be achieved by additionally providing some subsidy to the…

Computer Science and Game Theory · Computer Science 2022-01-20 Siddharth Barman , Anand Krishna , Y. Narahari , Soumyarup Sadhukhan

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…

Computer Science and Game Theory · Computer Science 2025-11-06 Hadi Hosseini , Shraddha Pathak , Yu Zhou

We consider a multi-agent resource allocation setting that models the assignment of papers to reviewers. A recurring issue in allocation problems is the compatibility of welfare/efficiency and fairness. Given an oracle to find a…

Computer Science and Game Theory · Computer Science 2019-08-02 Haris Aziz , Xin Huang , Nicholas Mattei , Erel Segal-Halevi

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…

Computer Science and Game Theory · Computer Science 2024-08-13 Shengxin Liu , Xinhang Lu , Mashbat Suzuki , Toby Walsh

When allocating indivisible resources or tasks, an envy-free allocation or equitable allocation may not exist. We present a sufficient condition and an algorithm to achieve envy-freeness and equitability when monetary transfers are allowed.…

Computer Science and Game Theory · Computer Science 2020-03-19 Haris Aziz

While machine learning can myopically reinforce social inequalities, it may also be used to dynamically seek equitable outcomes. In this paper, we formalize long-term fairness in the context of online reinforcement learning. This…

Machine Learning · Computer Science 2024-10-02 Tongxin Yin , Reilly Raab , Mingyan Liu , Yang Liu

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…

Computer Science and Game Theory · Computer Science 2018-10-15 Martin Aleksandrov , Cunjing Ge , Toby Walsh

We study the problem of fairly allocating $m$ indivisible items arriving online, among $n$ (offline) agents. Although envy-freeness has emerged as the archetypal fairness notion, envy-free (EF) allocations need not exist with indivisible…

Computer Science and Game Theory · Computer Science 2025-10-16 Pooja Kulkarni , Ruta Mehta , Vishnu V. Narayan , Tomasz Ponitka

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…

Computer Science and Game Theory · Computer Science 2026-05-06 Vignesh Viswanathan

We investigate the efficiency of fair allocations of indivisible goods using the well-studied price of fairness concept. Previous work has focused on classical fairness notions such as envy-freeness, proportionality, and equitability.…

Computer Science and Game Theory · Computer Science 2021-09-08 Xiaohui Bei , Xinhang Lu , Pasin Manurangsi , Warut Suksompong

We study the allocation of indivisible goods among groups of agents using well-known fairness notions such as envy-freeness and proportionality. While these notions cannot always be satisfied, we provide several bounds on the optimal…

Computer Science and Game Theory · Computer Science 2022-08-24 Pasin Manurangsi , Warut Suksompong

We study the problem of allocating indivisible goods among agents with additive valuations. When randomization is allowed, it is possible to achieve compelling notions of fairness such as envy-freeness, which states that no agent should…

Computer Science and Game Theory · Computer Science 2020-05-29 Rupert Freeman , Nisarg Shah , Rohit Vaish

We consider a fair division setting where indivisible items are allocated to agents. Each agent in the setting has strictly negative, zero or strictly positive utility for each item. We, thus, make a distinction between items that are good…

Computer Science and Game Theory · Computer Science 2020-05-14 Martin Aleksandrov

We propose a new fairness notion, motivated by the practical challenge of allocating teaching assistants (TAs) to courses in a department. Each course requires a certain number of TAs and each TA has preferences over the courses they want…

Computer Science and Game Theory · Computer Science 2025-04-15 Pallavi Jain , Palash Jha , Shubham Solanki

As recommender systems are being designed and deployed for an increasing number of socially-consequential applications, it has become important to consider what properties of fairness these systems exhibit. There has been considerable…

Information Retrieval · Computer Science 2020-09-08 Nasim Sonboli , Robin Burke , Nicholas Mattei , Farzad Eskandanian , Tian Gao

As the operations of autonomous systems generally affect simultaneously several users, it is crucial that their designs account for fairness considerations. In contrast to standard (deep) reinforcement learning (RL), we investigate the…

Artificial Intelligence · Computer Science 2020-08-19 Umer Siddique , Paul Weng , Matthieu Zimmer

We consider a variation on the classical finance problem of optimal portfolio design. In our setting, a large population of consumers is drawn from some distribution over risk tolerances, and each consumer must be assigned to a portfolio of…

We study the fair allocation of indivisible items under relevance constraints, where each agent has a set of relevant items and can only receive items that are relevant to them. While the relevance constraint has been studied in recent…

Computer Science and Game Theory · Computer Science 2026-03-19 Ankang Sun , Ruijie Wang , Bo Li

We study the problem of fairly allocating $m$ indivisible items among $n$ agents. Envy-free allocations, in which each agent prefers her bundle to the bundle of every other agent, need not exist in the worst case. However, when agents have…

Computer Science and Game Theory · Computer Science 2023-07-20 Gerdus Benadè , Daniel Halpern , Alexandros Psomas , Paritosh Verma

Algorithmic decision-making in societal contexts, such as retail pricing, loan administration, recommendations on online platforms, etc., can be framed as stochastic optimization under bandit feedback, which typically requires…

Machine Learning · Computer Science 2024-10-22 Jad Salem , Swati Gupta , Vijay Kamble
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