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We study truthful mechanisms for matching and related problems in a partial information setting, where the agents' true utilities are hidden, and the algorithm only has access to ordinal preference information. Our model is motivated by the…

Computer Science and Game Theory · Computer Science 2016-10-20 Elliot Anshelevich , Shreyas Sekar

We consider a multi-agent optimal resource sharing problem that is represented by a linear program. The amount of resource to be shared is fixed, and agents belong to a population that is characterized probabilistically so as to allow…

Optimization and Control · Mathematics 2021-09-29 Alessandro Falsone , Kostas Margellos , Jacopo Zizzo , Maria Prandini , Simone Garatti

Bipartite matching, where agents on one side of a market are matched to agents or items on the other, is a classical problem in computer science and economics, with widespread application in healthcare, education, advertising, and general…

Data Structures and Algorithms · Computer Science 2017-08-17 Faez Ahmed , John P. Dickerson , Mark Fuge

This paper considers the scenario in which there are multiple institutions, each with a limited capacity for candidates, and candidates, each with preferences over the institutions. A central entity evaluates the utility of each candidate…

Data Structures and Algorithms · Computer Science 2024-09-10 L. Elisa Celis , Amit Kumar , Nisheeth K. Vishnoi , Andrew Xu

Schelling's model considers $k$ types of agents each of whom needs to select a vertex on an undirected graph, where every agent prefers to neighbor agents of the same type. We are motivated by a recent line of work that studies solutions…

Data Structures and Algorithms · Computer Science 2022-01-19 Argyrios Deligkas , Eduard Eiben , Tiger-Lily Goldsmith

We consider the facility location problem in the one-dimensional setting where each facility can serve a limited number of agents from the algorithmic and mechanism design perspectives. From the algorithmic perspective, we prove that the…

Computer Science and Game Theory · Computer Science 2019-11-25 Haris Aziz , Hau Chan , Barton E. Lee , Bo Li , Toby Walsh

We study ordinal approximation algorithms for maximum-weight bipartite matchings. Such algorithms only know the ordinal preferences of the agents/nodes in the graph for their preferred matches, but must compete with fully omniscient…

Computer Science and Game Theory · Computer Science 2017-07-07 Elliot Anshelevich , Wennan Zhu

Generalized from the concept of consensus, this paper considers a group of edge agreements, i.e. constraints defined for neighboring agents, in which each pair of neighboring agents is required to satisfy one edge agreement constraint. Edge…

Optimization and Control · Mathematics 2023-12-04 Zehui Lu , Shaoshuai Mou

We revisit the discrete heterogeneous two-facility location problem, in which there is a set of agents that occupy nodes of a line graph, and have private approval preferences over two facilities. When the facilities are located at some…

Computer Science and Game Theory · Computer Science 2021-09-10 Panagiotis Kanellopoulos , Alexandros A. Voudouris , Rongsen Zhang

We introduce a new class of network allocation games called graphical distance preservation games. Here, we are given a graph, called a topology, and a set of agents that need to be allocated to its vertices. Moreover, every agent has an…

Computer Science and Game Theory · Computer Science 2026-02-19 Argyrios Deligkas , Eduard Eiben , Tiger-Lily Goldsmith , Dušan Knop , Šimon Schierreich

To successfully navigate its environment, an agent must construct and maintain representations of the other agents that it encounters. Such representations are useful for many tasks, but they are not without cost. As a result, agents must…

Artificial Intelligence · Computer Science 2023-12-11 Max Taylor-Davies , Christopher G. Lucas

In this work we consider general facility location and social choice problems, in which sets of agents $\mathcal{A}$ and facilities $\mathcal{F}$ are located in a metric space, and our goal is to assign agents to facilities (as well as…

Multiagent Systems · Computer Science 2018-05-09 Elliot Anshelevich , Wennan Zhu

Students' decisions on whether to take a class are strongly affected by whether their friends plan to take the class with them. A student may prefer to be assigned to a course they likes less, just to be with their friends, rather than…

Artificial Intelligence · Computer Science 2023-09-19 Ilya Khakhiashvili , Lihi Dery , Tal Grinshpoun

Game theory has emerged as a fruitful paradigm for the design of networked multiagent systems. A fundamental component of this approach is the design of agents' utility functions so that their self-interested maximization results in a…

Computer Science and Game Theory · Computer Science 2020-03-12 Dario Paccagnan , Rahul Chandan , Jason R. Marden

We study a simple problem of allocating common-value goods. The designer seeks to allocate the goods to as many unit-demand agents as possible without monetary transfers, while agents, who possess partial private information about the…

Theoretical Economics · Economics 2026-04-22 Hiroto Sato , Ryo Shirakawa

We study the distributed facility location problem, where a set of agents with positions on the line of real numbers are partitioned into disjoint districts, and the goal is to choose a point to satisfy certain criteria, such as optimize an…

Computer Science and Game Theory · Computer Science 2023-01-05 Aris Filos-Ratsikas , Panagiotis Kanellopoulos , Alexandros A. Voudouris , Rongsen Zhang

We study two stylized, multi-agent models aimed at investing a limited, indivisible resource in public transportation. In the first model, we face the decision of which potential stops to open along a (e.g., bus) path, given agents' travel…

Computer Science and Game Theory · Computer Science 2026-02-04 Martin Bullinger , Edith Elkind , Kassian Köck

User preference learning is generally a hard problem. Individual preferences are typically unknown even to users themselves, while the space of choices is infinite. Here we study user preference learning from information-theoretic…

Machine Learning · Computer Science 2023-11-27 Tanya Ignatenko , Kirill Kondrashov , Marco Cox , Bert de Vries

Traditional approaches to the design of multi-agent navigation algorithms consider the environment as a fixed constraint, despite the influence of spatial constraints on agents' performance. Yet hand-designing conducive environment layouts…

Systems and Control · Electrical Eng. & Systems 2023-05-22 Zhan Gao , Amanda Prorok

A planner wants to select one agent out of n agents on the basis of a binary characteristic that is commonly known to all agents but is not observed by the planner. Any pair of agents can either be friends or enemies or impartials of each…

Theoretical Economics · Economics 2025-11-17 Francis Bloch , Bhaskar Dutta , Marcin Dziubiński