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We consider the problem of locating a facility to serve a set of agents located along a line. The Nash welfare objective function, defined as the product of the agents' utilities, is known to provide a compromise between fairness and…

Computer Science and Game Theory · Computer Science 2023-10-09 Alexander Lam , Haris Aziz , Toby Walsh

Additively separable hedonic games (ASHGs) are a prominent model of coalition formation where agents' preferences are derived from their individual valuations of peers. While social welfare maximization in ASHGs has traditionally focused…

Computer Science and Game Theory · Computer Science 2026-05-20 Marta Pagano , Alexander Schlenga

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…

Computer Science and Game Theory · Computer Science 2011-04-19 Shaddin Dughmi , Tim Roughgarden , Qiqi Yan

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…

Computer Science and Game Theory · Computer Science 2020-01-07 S. Rasoul Etesami

Although approximate notions of envy-freeness-such as envy-freeness up to one good (EF1)-have been extensively studied for indivisible goods, the seemingly simpler fairness concept of proportionality up to one good (PROP1) has received far…

Computer Science and Game Theory · Computer Science 2025-08-19 Martin Jupakkal Andersen , Ioannis Caragiannis , Anders Bo Ipsen , Alexander Søltoft

Reinforcement learning has been shown to be an effective strategy for automatically training policies for challenging control problems. Focusing on non-cooperative multi-agent systems, we propose a novel reinforcement learning framework for…

Computer Science and Game Theory · Computer Science 2022-06-08 Kishor Jothimurugan , Suguman Bansal , Osbert Bastani , Rajeev Alur

We consider the task of assigning indivisible goods to a set of agents in a fair manner. Our notion of fairness is Nash social welfare, i.e., the goal is to maximize the geometric mean of the utilities of the agents. Each good comes in…

Data Structures and Algorithms · Computer Science 2019-05-13 Bhaskar Chaudhury , Yun Kuen Cheung , Jugal Garg , Naveen Garg , Martin Hoefer , Kurt Mehlhorn

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

Matching platforms, such as online dating services and job recommendations, have become increasingly prevalent. For the success of these platforms, it is crucial to design reciprocal recommender systems (RRSs) that not only increase the…

Information Retrieval · Computer Science 2026-02-26 Yoji Tomita , Tomohiko Yokoyama

This paper proves that the welfare of the first price auction in Bayes-Nash equilibrium is at least a $.743$-fraction of the welfare of the optimal mechanism assuming agents' values are independently distributed. The previous best bound was…

Computer Science and Game Theory · Computer Science 2018-03-20 Darrell Hoy , Sam Taggart , Zihe Wang

In this paper, we study the weighted stochastic matching problem. Let $G=(V, E)$ be a given edge-weighted graph and let its realization $\mathcal{G}$ be a random subgraph of $G$ that includes each edge $e\in E$ independently with a known…

Data Structures and Algorithms · Computer Science 2023-11-16 Mahsa Derakhshan , Mohammad Saneian

In the budget-feasible allocation problem, a set of items with varied sizes and values are to be allocated to a group of agents. Each agent has a budget constraint on the total size of items she can receive. The goal is to compute a…

Computer Science and Game Theory · Computer Science 2021-06-29 Jiarui Gan , Bo Li , Xiaowei Wu

We study fair multi-objective reinforcement learning in which an agent must learn a policy that simultaneously achieves high reward on multiple dimensions of a vector-valued reward. Motivated by the fair resource allocation literature, we…

Computer Science and Game Theory · Computer Science 2024-02-09 Zimeng Fan , Nianli Peng , Muhang Tian , Brandon Fain

In this paper, we present new results on the fair and efficient allocation of indivisible goods to agents whose preferences correspond to {\em matroid rank functions}. This is a versatile valuation class with several desirable properties…

Artificial Intelligence · Computer Science 2021-06-21 Nawal Benabbou , Mithun Chakraborty , Ayumi Igarashi , Yair Zick

We study the problem of allocating indivisible goods among agents that have an identical subadditive valuation over the goods. The extent of fairness and efficiency of allocations is measured by the generalized means of the values that the…

Computer Science and Game Theory · Computer Science 2020-05-04 Siddharth Barman , Ranjani G. Sundaram

Several fairness concepts have been proposed recently in attempts to approximate envy-freeness in settings with indivisible goods. Among them, the concept of envy-freeness up to any item (EFX) is arguably the closest to envy-freeness.…

Computer Science and Game Theory · Computer Science 2019-02-13 Ioannis Caragiannis , Nick Gravin , Xin Huang

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…

Computer Science and Game Theory · Computer Science 2017-05-16 Simina Brânzei , Vasilis Gkatzelis , Ruta Mehta

We study the problem of allocating a set of indivisible items to agents with additive utilities to maximize the Nash social welfare. Cole and Gkatzelis recently proved that this problem admits a constant factor approximation. We complement…

Computational Complexity · Computer Science 2015-07-07 Euiwoong Lee

We study the max-min fair allocation problem in which a set of $m$ indivisible items are to be distributed among $n$ agents such that the minimum utility among all agents is maximized. In the restricted setting, the utility of each item $j$…

Discrete Mathematics · Computer Science 2016-11-28 T-H. Hubert Chan , Zhihao Gavin Tang , Xiaowei Wu

This paper proposes a novel method to estimate individualised treatment assignment rules. The method is designed to find rules that are stochastic, reflecting uncertainty in estimation of an assignment rule and about its welfare…

Econometrics · Economics 2023-02-22 Toru Kitagawa , Hugo Lopez , Jeff Rowley