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We study the problem of fair allocation of indivisible items when agents have ternary additive valuations -- each agent values each item at some fixed integer values $a$, $b$, or $c$ that are common to all agents. The notions of fairness we…

Computer Science and Game Theory · Computer Science 2024-11-01 Zack Fitzsimmons , Vignesh Viswanathan , Yair Zick

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

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

A major problem in fair division is how to allocate a set of indivisible resources among agents fairly and efficiently. The goal of this work is to characterize the tradeoffs between two well-studied measures of fairness and efficiency --…

Computer Science and Game Theory · Computer Science 2024-01-17 Michal Feldman , Simon Mauras , Tomasz Ponitka

We propose a new model for aggregating preferences over a set of indivisible items based on a quantile value. In this model, each agent is endowed with a specific quantile, and the value of a given bundle is defined by the corresponding…

Computer Science and Game Theory · Computer Science 2026-05-06 Haris Aziz , Shivika Narang , Mashbat Suzuki

In an instance of the weighted Nash Social Welfare problem, we are given a set of $m$ indivisible items, $\mathscr{G}$, and $n$ agents, $\mathscr{A}$, where each agent $i \in \mathscr{A}$ has a valuation $v_{ij}\geq 0$ for each item $j\in…

Data Structures and Algorithms · Computer Science 2024-01-08 Adam Brown , Aditi Laddha , Madhusudhan Reddy Pittu , Mohit Singh

We consider the problem of approximating maximum Nash social welfare (NSW) while allocating a set of indivisible items to $n$ agents. The NSW is a popular objective that provides a balanced tradeoff between the often conflicting…

Computer Science and Game Theory · Computer Science 2020-10-02 Jugal Garg , Edin Husic , Laszlo A. Vegh

We develop polynomial-time algorithms for the fair and efficient allocation of indivisible goods among $n$ agents that have subadditive valuations over the goods. We first consider the Nash social welfare as our objective and design a…

Computer Science and Game Theory · Computer Science 2020-07-07 Siddharth Barman , Umang Bhaskar , Anand Krishna , Ranjani G. Sundaram

Fairness-aware learning aims at satisfying various fairness constraints in addition to the usual performance criteria via data-driven machine learning techniques. Most of the research in fairness-aware learning employs the setting of…

Machine Learning · Computer Science 2022-05-23 Pratik Gajane , Akrati Saxena , Maryam Tavakol , George Fletcher , Mykola Pechenizkiy

We consider the classic problem of fairly allocating indivisible goods among agents with additive valuation functions and explore the connection between two prominent fairness notions: maximum Nash welfare (MNW) and envy-freeness up to any…

Computer Science and Game Theory · Computer Science 2022-09-12 Georgios Amanatidis , Georgios Birmpas , Aris Filos-Ratsikas , Alexandros Hollender , Alexandros A. Voudouris

We consider the problem of maximizing the Nash social welfare when allocating a set $\mathcal{G}$ of indivisible goods to a set $\mathcal{N}$ of agents. We study instances, in which all agents have 2-value additive valuations: The value of…

We study the problem of allocating a set of indivisible goods among agents with subadditive valuations in a fair and efficient manner. Envy-Freeness up to any good (EFX) is the most compelling notion of fairness in the context of…

Computer Science and Game Theory · Computer Science 2020-08-18 Bhaskar Ray Chaudhury , Jugal Garg , Ruta Mehta

Mechanism design in resource allocation studies dividing limited resources among self-interested agents whose satisfaction with the allocation depends on privately held utilities. We consider the problem in a payment-free setting, with the…

Computer Science and Game Theory · Computer Science 2025-01-03 Sihan Zeng , Sujay Bhatt , Alec Koppel , Sumitra Ganesh

One common approach to solve multi-objective reinforcement learning (MORL) problems is to extend conventional Q-learning by using vector Q-values in combination with a utility function. However issues can arise with this approach in the…

Machine Learning · Computer Science 2024-01-09 Kewen Ding , Peter Vamplew , Cameron Foale , Richard Dazeley

We address an inherent difficulty in welfare-theoretic fair machine learning by proposing an equivalently axiomatically-justified alternative and studying the resulting computational and statistical learning questions. Welfare metrics…

Machine Learning · Computer Science 2021-07-27 Cyrus Cousins

In several socioeconomic-critical decision-making settings, such as fair resource allocation, climate policy, or AI alignment, multiple principals interact within a common arena. While it is well established that these principals may have…

Computer Science and Game Theory · Computer Science 2026-05-13 Sarvin Bahmani , Soumyajit Paul , Sven Schewe , Shadi Tasdighi Kalat , Ashutosh Trivedi

We establish a compatibility between fairness and efficiency, captured via Nash Social Welfare (NSW), under the broad class of subadditive valuations. We prove that, for subadditive valuations, there always exists a partial allocation that…

Computer Science and Game Theory · Computer Science 2025-11-10 Siddharth Barman , Mashbat Suzuki

In load balancing problems there is a set of clients, each wishing to select a resource from a set of permissible ones, in order to execute a certain task. Each resource has a latency function, which depends on its workload, and a client's…

Computer Science and Game Theory · Computer Science 2021-05-06 Vittorio Bilò , Gianpiero Monaco , Luca Moscardelli , Cosimo Vinci

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…

Computer Science and Game Theory · Computer Science 2019-01-29 Siddharth Barman , Ganesh Ghalme , Shweta Jain , Pooja Kulkarni , Shivika Narang

Given a graph $G$, a community structure $\mathcal{C}$, and a budget $k$, the fair influence maximization problem aims to select a seed set $S$ ($|S|\leq k$) that maximizes the influence spread while narrowing the influence gap between…

Data Structures and Algorithms · Computer Science 2023-11-23 Xiaobin Rui , Zhixiao Wang , Jiayu Zhao , Lichao Sun , Wei Chen