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We consider the problem of allocating indivisible goods fairly among n agents who have additive and submodular valuations for the goods. Our fairness guarantees are in terms of the maximin share, that is defined to be the maximum value that…

Computer Science and Game Theory · Computer Science 2020-04-07 Siddharth Barman , Sanath Kumar Krishnamurthy

We consider interactive learning and covering problems, in a setting where actions may incur different costs, depending on the response to the action. We propose a natural greedy algorithm for response-dependent costs. We bound the…

Machine Learning · Computer Science 2018-11-21 Sivan Sabato

We study the problem of auditing the fairness of a given classifier under partial feedback, where true labels are available only for positively classified individuals, (e.g., loan repayment outcomes are observed only for approved…

Machine Learning · Computer Science 2026-02-24 Nirjhar Das , Mohit Sharma , Praharsh Nanavati , Kirankumar Shiragur , Amit Deshpande

We consider a multi-agent resource allocation setting in which an agent's utility may decrease or increase when an item is allocated. We take the group envy-freeness concept that is well-established in the literature and present stronger…

Computer Science and Game Theory · Computer Science 2019-07-23 Haris Aziz , Simon Rey

Dominant resource fairness (DRF) is a popular mechanism for multi-resource allocation in cloud computing systems. In this paper, we consider a problem of multi-resource fair allocation with bounded number of tasks. Firstly, we propose the…

Computer Science and Game Theory · Computer Science 2016-10-27 Weidong Li , Xi Liu , Xiaolu Zhang , Xuejie Zhang

We study the fair allocation of indivisible goods and chores under ordinal valuations for agents with unequal entitlements. We show the existence and polynomial time computation of weighted necessarily proportional up to one item…

Computer Science and Game Theory · Computer Science 2024-01-03 Vishwa Prakash H. V. , Prajakta Nimbhorkar

We study the problem of fairly and efficiently allocating a set of items among strategic agents with additive valuations, where items are either all indivisible or all divisible. When items are goods, numerous positive and negative results…

Computer Science and Game Theory · Computer Science 2025-07-08 Bo Li , Biaoshuai Tao , Fangxiao Wang , Xiaowei Wu , Mingwei Yang , Shengwei Zhou

In fair division problems, we are given a set $S$ of $m$ items and a set $N$ of $n$ agents with individual preferences, and the goal is to find an allocation of items among agents so that each agent finds the allocation fair. There are…

We consider allocations of a set of $m$ indivisible goods to $n$ agents of equal entitlements that have valuations from the class XOS. A previous sequence of works showed allocations that obtain an $\alpha$-approximation for the maximin…

Computer Science and Game Theory · Computer Science 2026-05-12 Uriel Feige , Vadim Grinberg

We study fair distribution of a collection of m indivisible goods among a group of n agents, using the widely recognized fairness principles of Maximin Share (MMS) and Any Price Share (APS). These principles have undergone thorough…

Computer Science and Game Theory · Computer Science 2023-12-15 Chandra Chekuri , Pooja Kulkarni , Rucha Kulkarni , Ruta Mehta

We introduce a natural online allocation problem that connects several of the most fundamental problems in online optimization. Let $M$ be an $n$-point metric space. Consider a resource that can be allocated in arbitrary fractions to the…

Data Structures and Algorithms · Computer Science 2021-12-01 Nikhil Bansal , Christian Coester

We study the fundamental problem of fairly allocating a set of indivisible goods among $n$ agents with additive valuations using the desirable fairness notion of maximin share (MMS). MMS is the most popular share-based notion, in which an…

Computer Science and Game Theory · Computer Science 2023-07-25 Hannaneh Akrami , Jugal Garg

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 investigate the problem of heterogeneous task assignment in crowdsourcing markets from the point of view of the requester, who has a collection of tasks. Workers arrive online one by one, and each declare a set of feasible tasks they can…

Data Structures and Algorithms · Computer Science 2015-08-17 Sepehr Assadi , Justin Hsu , Shahin Jabbari

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

We study fair resource allocation when the resources contain a mixture of divisible and indivisible goods, focusing on the well-studied fairness notion of maximin share fairness (MMS). With only indivisible goods, a full MMS allocation may…

Computer Science and Game Theory · Computer Science 2021-07-02 Xiaohui Bei , Shengxin Liu , Xinhang Lu , Hongao Wang

Envy-freeness up to any good (EFX) is a central fairness notion for allocating indivisible goods, yet its existence is unresolved in general. In the setting with few surplus items, where the number of goods exceeds the number of agents by a…

Computer Science and Game Theory · Computer Science 2026-01-21 Eugene Lim , Tzeh Yuan Neoh , Nicholas Teh

Many real-life planning problems require making a priori decisions before all parameters of the problem have been revealed. An important special case of such problem arises in scheduling problems, where a set of tasks needs to be assigned…

Data Structures and Algorithms · Computer Science 2016-07-11 David Adjiashvili , Viktor Bindewald , Dennis Michaels

Two general algorithms based on opportunity costs are given for approximating a revenue-maximizing set of bids an auctioneer should accept, in a combinatorial auction in which each bidder offers a price for some subset of the available…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Karhan Akcoglu , James Aspnes , Bhaskar DasGupta , Ming-Yang Kao

We explore solutions for fairly allocating indivisible items among agents assigned weights representing their entitlements. Our fairness goal is weighted-envy-freeness (WEF), where each agent deems their allocated portion relative to their…

Computer Science and Game Theory · Computer Science 2025-02-25 Noga Klein Elmalem , Rica Gonen , Erel Segal-Halevi