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We study the allocation of divisible goods to competing agents via a market mechanism, focusing on agents with Leontief utilities. The majority of the economics and mechanism design literature has focused on \emph{linear} prices, meaning…

Computer Science and Game Theory · Computer Science 2019-12-24 Ashish Goel , Reyna Hulett , Benjamin Plaut

Major online platforms today can be thought of as two-sided markets with producers and customers of goods and services. There have been concerns that over-emphasis on customer satisfaction by the platforms may affect the well-being of the…

Social and Information Networks · Computer Science 2019-11-21 Gourab K Patro , Abhijnan Chakraborty , Niloy Ganguly , Krishna P. Gummadi

We study the problem of maximizing Nash social welfare, which is the geometric mean of agents' utilities, in two well-known models. The first model involves one-sided preferences, where a set of indivisible items is allocated among a group…

Computer Science and Game Theory · Computer Science 2025-05-19 Salil Gokhale , Harshul Sagar , Rohit Vaish , Vignesh Viswanathan , Jatin Yadav

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 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

Efficient allocation and use of limited resources are fundamental to advancing collective welfare and achieving long-term societal sustainability. This challenge involves not only how policymakers distribute scarce resources among…

Computer Science and Game Theory · Computer Science 2026-03-18 Juyi Li , Xiaoqun Wu , Qi Su

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 introduce the theoretical study of a Platform Equilibrium in a market with unit-demand buyers and unit-supply sellers. Each seller can join a platform and transact with any buyer or remain off-platform and transact with a subset of…

Computer Science and Game Theory · Computer Science 2024-06-24 Alon Eden , Gary Qiurui Ma , David C. Parkes

The maximization of Nash welfare, which equals the geometric mean of agents' utilities, is widely studied because it balances efficiency and fairness in resource allocation problems. Banerjee, Gkatzelis, Gorokh, and Jin (2022) recently…

Data Structures and Algorithms · Computer Science 2024-11-11 Zhiyi Huang , Minming Li , Xinkai Shu , Tianze Wei

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…

Computer Science and Game Theory · Computer Science 2020-09-29 Vasilis Gkatzelis , Alexandros Psomas , Xizhi Tan

The division of goods in the online realm poses opportunities and challenges. While innovative mechanisms can be developed, uncertainty about the future may hinder effective solutions. This project aims to explore fair distribution models…

Computer Science and Game Theory · Computer Science 2023-04-19 Kushagra Chatterjee , Biswadeep Sen , Yuhao Wang

Ranking, recommendation, and retrieval systems are widely used in online platforms and other societal systems, including e-commerce, media-streaming, admissions, gig platforms, and hiring. In the recent past, a large "fair ranking" research…

Information Retrieval · Computer Science 2022-02-01 Gourab K Patro , Lorenzo Porcaro , Laura Mitchell , Qiuyue Zhang , Meike Zehlike , Nikhil Garg

Fairness in advertising is a topic of particular concern motivated by theoretical and empirical observations in both the computer science and economics literature. We examine the problem of fairness in advertising for general purpose…

Computer Science and Game Theory · Computer Science 2019-08-30 Shuchi Chawla , Christina Ilvento , Meena Jagadeesan

In the context of fair division, the concept of price of fairness has been introduced to quantify the loss of welfare when we have to satisfy some fairness condition. In other words, it is the price we have to pay to guarantee fairness.…

Computer Science and Game Theory · Computer Science 2024-02-27 Karen Frilya Celine , Muhammad Ayaz Dzulfikar , Ivan Adrian Koswara

We study a fair allocation problem of indivisible items under additive externalities in which each agent also receives values from items that are assigned to other agents. We propose several new fairness concepts. We extend the well-studied…

Computer Science and Game Theory · Computer Science 2022-12-01 Haris Aziz , Warut Suksompong , Zhaohong Sun , Toby Walsh

Algorithmic decision making systems are ubiquitous across a wide variety of online as well as offline services. These systems rely on complex learning methods and vast amounts of data to optimize the service functionality, satisfaction of…

Machine Learning · Statistics 2017-03-27 Muhammad Bilal Zafar , Isabel Valera , Manuel Gomez Rodriguez , Krishna P. Gummadi

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

Now that machine learning algorithms lie at the center of many resource allocation pipelines, computer scientists have been unwittingly cast as partial social planners. Given this state of affairs, important questions follow. What is the…

Machine Learning · Computer Science 2019-05-02 Lily Hu , Yiling Chen

We study the problem of allocating indivisible items to budget-constrained agents, aiming to provide fairness and efficiency guarantees. Specifically, our goal is to ensure that the resulting allocation is envy-free up to any item (EFx)…

Computer Science and Game Theory · Computer Science 2023-08-04 Marius Garbea , Vasilis Gkatzelis , Xizhi Tan

Fair division of indivisible goods is a very well-studied problem. The goal of this problem is to distribute $m$ goods to $n$ agents in a "fair" manner, where every agent has a valuation for each subset of goods. We assume general…

Computer Science and Game Theory · Computer Science 2020-02-25 Bhaskar Ray Chaudhury , Tellikepalli Kavitha , Kurt Mehlhorn , Alkmini Sgouritsa