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In this paper we develop a unified approach for solving a wide class of sequential selection problems. This class includes, but is not limited to, selection problems with no-information, rank-dependent rewards, and considers both fixed as…

Probability · Mathematics 2020-01-27 Alexander Goldenshluger , Yaakov Malinovsky , Assaf Zeevi

Two simple and attractive mechanisms for the fair division of indivisible goods in an online setting are LIKE and BALANCED LIKE. We study some fundamental computational problems concerning the outcomes of these mechanisms. In particular, we…

Computer Science and Game Theory · Computer Science 2020-06-30 Martin Aleksandrov , Toby Walsh

We initiate the study of parallel algorithms for fairly allocating indivisible goods among agents with additive preferences. We give fast parallel algorithms for various fundamental problems, such as finding a Pareto Optimal and EF1…

Computer Science and Game Theory · Computer Science 2023-09-19 Rohan Garg , Alexandros Psomas

We study the problem of allocating indivisible items on a path among agents. The objective is to find a fair and efficient allocation in which each agent's bundle forms a contiguous block on the line. We say that an instance is \emph{$(a,…

Computer Science and Game Theory · Computer Science 2025-01-14 Yasushi Kawase , Bodhayan Roy , Mohammad Azharuddin Sanpui

We study the problem of assigning objects to agents in the presence of arbitrary linear constraints when agents are allowed to be indifferent between objects. Our main contribution is the generalization of the (Extended) Probabilistic…

Theoretical Economics · Economics 2020-11-03 Priyanka Shende

One of the important yet insufficiently studied subjects in fair allocation is the externality effect among agents. For a resource allocation problem, externalities imply that a bundle allocated to an agent may affect the utilities of other…

Computer Science and Game Theory · Computer Science 2018-05-17 Mohammad Ghodsi , Hamed Saleh , Masoud Seddighin

The classic fair division problems assume the resources to be allocated are either divisible or indivisible, or contain a mixture of both, but the agents always have a predetermined and uncontroversial agreement on the (in)divisibility of…

Computer Science and Game Theory · Computer Science 2025-03-31 Xiaohui Bei , Shengxin Liu , Xinhang Lu

We study the problem of fairly allocating a set of $m$ goods among $n$ agents in the asymptotic setting, where each item's value for each agent is drawn from an underlying joint distribution. Prior works have shown that if this distribution…

Computer Science and Game Theory · Computer Science 2025-12-12 Jugal Garg , Vishnu V. Narayan , Yuang Eric Shen

The behavior of users in relatively predictable, both in terms of the data they request and the wireless channels they observe. In this paper, we consider the statistics of such predictable patterns of the demand and channel jointly across…

Information Theory · Computer Science 2018-06-14 L. Srikar Muppirisetty , John Tadrous , Atilla Eryilmaz , Henk Wymeersch

Fair division is typically framed from a centralized perspective. However, in practice resource allocation often occurs via decentralized networks. We study a decentralized variant of fair division inspired by altruistic dynamics observed…

Computer Science and Game Theory · Computer Science 2026-03-02 Joel Miller , Rishi Advani , Ian Kash , Chris Kanich , Lenore Zuck

We study the classic divide-and-choose method for equitably allocating divisible goods between two players who are rational, self-interested Bayesian agents. The players have additive values for the goods. The prior distributions on those…

Computer Science and Game Theory · Computer Science 2024-10-22 Jamie Tucker-Foltz , Richard Zeckhauser

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

We formulate and analyze a generic sequential resource access problem arising in a variety of engineering fields, where a user disposes a number of heterogeneous computing, communication, or storage resources, each characterized by the…

Networking and Internet Architecture · Computer Science 2020-12-08 Lin Chen , Anastasios Giovanidis , Wei Wang , Lin Shan

In the sequential decision making setting, an agent aims to achieve systematic generalization over a large, possibly infinite, set of environments. Such environments are modeled as discrete Markov decision processes with both states and…

Machine Learning · Computer Science 2023-03-31 Mirco Mutti , Riccardo De Santi , Emanuele Rossi , Juan Felipe Calderon , Michael Bronstein , Marcello Restelli

Decision-making problems often feature uncertainty stemming from heterogeneous and context-dependent human preferences. To address this, we propose a sequential learning-and-optimization pipeline to learn preference distributions and…

Machine Learning · Computer Science 2026-03-19 Benjamin Hudson , Laurent Charlin , Emma Frejinger

We explore an active learning approach for dynamic fair resource allocation problems. Unlike previous work that assumes full feedback from all agents on their allocations, we consider feedback from a select subset of agents at each epoch of…

Machine Learning · Computer Science 2024-06-24 Riddhiman Bhattacharya , Thanh Nguyen , Will Wei Sun , Mohit Tawarmalani

We model stochastic choices with categorization. The agent preliminarly groups alternatives in homogenous disjoint classes, then randomly chooses one class and randomly picks an item within the selected class. We give a formal definition of…

Theoretical Economics · Economics 2026-01-06 Ester Sudano

In treatment allocation problems the individuals to be treated often arrive sequentially. We study a problem in which the policy maker is not only interested in the expected cumulative welfare but is also concerned about the…

Machine Learning · Statistics 2018-08-24 Anders Bredahl Kock , Martin Thyrsgaard

We consider fair allocation of indivisible items under an additional constraint: there is an undirected graph describing the relationship between the items, and each agent's share must form a connected subgraph of this graph. This framework…

Computer Science and Game Theory · Computer Science 2017-06-07 Sylvain Bouveret , Katarína Cechlárová , Edith Elkind , Ayumi Igarashi , Dominik Peters

We consider the problem of dividing limited resources between a set of agents arriving sequentially with unknown (stochastic) utilities. Our goal is to find a fair allocation - one that is simultaneously Pareto-efficient and envy-free. When…

Computer Science and Game Theory · Computer Science 2022-07-12 Sean R. Sinclair , Gauri Jain , Siddhartha Banerjee , Christina Lee Yu