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We consider the fundamental problem of fairly allocating a set of indivisible items among agents having valuations that are represented by a multi-graph -- here, agents appear as vertices and items as edges between them and each vertex…

Computer Science and Game Theory · Computer Science 2025-10-16 Mahyar Afshinmehr , Alireza Danaei , Mehrafarin Kazemi , Kurt Mehlhorn , Nidhi Rathi

In this paper, we study the classic problem of fairly allocating indivisible items with the extra feature that the items lie on a line. Our goal is to find a fair allocation that is contiguous, meaning that the bundle of each agent forms a…

Computer Science and Game Theory · Computer Science 2019-04-30 Warut Suksompong

We consider the problem of sharing a set of indivisible goods among agents in a fair manner, namely such that the allocation is envy-free up to any good (EFX). We focus on the problem of computing an EFX allocation in the two-agent case and…

Computer Science and Game Theory · Computer Science 2023-07-18 Paul W. Goldberg , Kasper Høgh , Alexandros Hollender

Several resource allocation settings involve agents with unequal entitlements represented by weights. We analyze weighted fair division from an asymptotic perspective: if $m$ items are divided among $n$ agents whose utilities are…

Computer Science and Game Theory · Computer Science 2025-09-16 Pasin Manurangsi , Warut Suksompong , Tomohiko Yokoyama

Many allocation problems in multiagent systems rely on agents specifying cardinal preferences. However, allocation mechanisms can be sensitive to small perturbations in cardinal preferences, thus causing agents who make ``small" or…

Computer Science and Game Theory · Computer Science 2021-07-13 Vijay Menon , Kate Larson

We consider an optimal partition of resources (e.g. consumers) between several agents (e.g. experts), given utility functions ("wisdoms") for the agents and their capacities. This problem is a variant of optimal transport…

Optimization and Control · Mathematics 2016-04-07 Gershon Wolansky

We study fair and efficient allocation of divisible goods, in an online manner, among $n$ agents. The goods arrive online in a sequence of $T$ time periods. The agents' values for a good are revealed only after its arrival, and the online…

Computer Science and Game Theory · Computer Science 2021-09-03 Siddharth Barman , Arindam Khan , Arnab Maiti

We provide sufficient conditions for semi-nonparametric point identification of a mixture model of decision making under risk, when agents make choices in multiple lines of insurance coverage (contexts) by purchasing a bundle. As a first…

Econometrics · Economics 2023-07-19 Levon Barseghyan , Francesca Molinari

We study the probabilistic assignment of items to platforms that satisfies both group and individual fairness constraints. Each item belongs to specific groups and has a preference ordering over platforms. Each platform enforces group…

Artificial Intelligence · Computer Science 2024-05-13 Atasi Panda , Anand Louis , Prajakta Nimbhorkar

We revisit the classic problem of fair division from a mechanism design perspective, using {\em Proportional Fairness} as a benchmark. In particular, we aim to allocate a collection of divisible items to a set of agents while incentivizing…

Computer Science and Game Theory · Computer Science 2014-02-26 Richard Cole , Vasilis Gkatzelis , Gagan Goel

We consider the problem of fairly allocating indivisible goods to couples, where each couple consists of two agents with distinct additive valuations. We show that there exist instances of allocating indivisible items to $n$ couples for…

Computer Science and Game Theory · Computer Science 2026-01-06 Max Dupré la Tour

Motivated by real-world applications, we study the fair allocation of graphical resources, where the resources are the vertices in a graph. Upon receiving a set of resources, an agent's utility equals the weight of a maximum matching in the…

Computer Science and Game Theory · Computer Science 2022-12-05 Zheng Chen , Bo Li , Minming Li , Guochuan Zhang

We study the linear contextual bandit problem where an agent has to select one candidate from a pool and each candidate belongs to a sensitive group. In this setting, candidates' rewards may not be directly comparable between groups, for…

Machine Learning · Statistics 2022-12-21 Riccardo Grazzi , Arya Akhavan , John Isak Texas Falk , Leonardo Cella , Massimiliano Pontil

We investigate the tradeoffs between fairness and efficiency when allocating indivisible items over time. Suppose T items arrive over time and must be allocated upon arrival, immediately and irrevocably, to one of n agents. Agent i assigns…

Computer Science and Game Theory · Computer Science 2020-05-18 David Zeng , Alexandros Psomas

When an Agent visits a platform recommending a menu of content to select from, their choice of item depends not only on fixed preferences, but also on their prior engagements with the platform. The Recommender's primary objective is…

Information Retrieval · Computer Science 2022-10-26 Arpit Agarwal , William Brown

This paper considers a novel variant of the online fair division problem involving multiple agents in which a learner sequentially observes an indivisible item that has to be irrevocably allocated to one of the agents while satisfying a…

Machine Learning · Computer Science 2025-05-30 Arun Verma , Indrajit Saha , Makoto Yokoo , Bryan Kian Hsiang Low

We study classic fair-division problems in a partial information setting. This paper respectively addresses fair division of rent, cake, and indivisible goods among agents with cardinal preferences. We will show that, for all of these…

Computer Science and Game Theory · Computer Science 2018-11-28 Eshwar Ram Arunachaleswaran , Siddharth Barman , Nidhi Rathi

We study fair allocation of indivisible items, where the items are furnished with a set of conflicts, and agents are not permitted to receive conflicting items. This kind of constraint captures, for example, participating in events that…

Computer Science and Game Theory · Computer Science 2022-02-01 Halvard Hummel , Magnus Lie Hetland

In the impartial selection problem, a subset of agents up to a fixed size $k$ among a group of $n$ is to be chosen based on votes cast by the agents themselves. A selection mechanism is impartial if no agent can influence its own chance of…

Computer Science and Game Theory · Computer Science 2024-08-06 Javier Cembrano , Svenja M. Griesbach , Maximilian J. Stahlberg

We study the problem of allocating a set of indivisible goods among a set of agents in a fair and efficient manner. An allocation is said to be fair if it is envy-free up to one good (EF1), which means that each agent prefers its own bundle…

Computer Science and Game Theory · Computer Science 2018-05-14 Siddharth Barman , Sanath Kumar Krishnamurthy , Rohit Vaish