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We study popularity for matchings under preferences. This solution concept captures matchings that do not lose against any other matching in a majority vote by the agents. A popular matching is said to be robust if it is popular among…

Data Structures and Algorithms · Computer Science 2025-10-23 Martin Bullinger , Gergely Csáji , Rohith Reddy Gangam , Parnian Shahkar

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

We consider the fair division of indivisible items among $n$ agents with additive non-negative normalized valuations, with the goal of obtaining high value guarantees, that is, close to the proportional share for each agent. We prove that…

Computer Science and Game Theory · Computer Science 2026-02-13 Sushmita Gupta , Pallavi Jain , Sanjay Seetharaman , Meirav Zehavi

Motivated by the mode estimation problem of an unknown multivariate probability density function, we study the problem of identifying the point with the minimum k-th nearest neighbor distance for a given dataset of n points. We study the…

Machine Learning · Statistics 2020-10-27 Anirudh Singhal , Subham Pirojiwala , Nikhil Karamchandani

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

Trust between humans and multi-agent robotic swarms may be analyzed using human preferences. These preferences are expressed by an individual as a sequence of ordered comparisons between pairs of swarm behaviors. An individual's preference…

Systems and Control · Electrical Eng. & Systems 2022-03-29 Elena M Vella , Daniel A Williams , Airlie Chapman , Chris Manzie

In the multidimensional stable roommate problem, agents have to be allocated to rooms and have preferences over sets of potential roommates. We study the complexity of finding good allocations of agents to rooms under the assumption that…

Computer Science and Game Theory · Computer Science 2020-05-01 Niclas Boehmer , Edith Elkind

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

We study the stable marriage problem in the partial information setting where the agents, although they have an underlying true strict linear order, are allowed to specify partial orders. Specifically, we focus on the case where the agents…

Computer Science and Game Theory · Computer Science 2018-10-09 Vijay Menon , Kate Larson

In this paper we provide a latent-variable formulation and solution to the recommender system (RS) problem in terms of a fundamental property that any reasonable solution should be expected to satisfy. Specifically, we examine a novel…

Information Retrieval · Computer Science 2022-07-05 Tung Nguyen , Sang T. Truong , Jeffrey Uhlmann

We study the problem of approximate ranking from observations of pairwise interactions. The goal is to estimate the underlying ranks of $n$ objects from data through interactions of comparison or collaboration. Under a general framework of…

Statistics Theory · Mathematics 2019-06-26 Chao Gao

Autonomous web agents solve complex browsing tasks, yet existing benchmarks measure only whether an agent finishes a task, ignoring whether it does so safely or in a way enterprises can trust. To integrate these agents into critical…

Artificial Intelligence · Computer Science 2026-03-03 Ido Levy , Ben Wiesel , Sami Marreed , Alon Oved , Avi Yaeli , Segev Shlomov

We discuss voting scenarios in which the set of voters (agents) and the set of alternatives are the same; that is, voters select a single representative from among themselves. Such a scenario happens, for instance, when a committee selects…

Computer Science and Game Theory · Computer Science 2019-07-23 Yakov Babichenko , Oren Dean , Moshe Tennenholtz

Properties of stable matchings in the popular random-matching-market model have been studied for over 50 years. In a random matching market, each agent has complete preferences drawn uniformly and independently at random. Wilson (1972),…

Computer Science and Game Theory · Computer Science 2024-02-16 Aditya Potukuchi , Shikha Singh

In various real-world scenarios, such as recommender systems and political surveys, pairwise rankings are commonly collected and utilized for rank aggregation to derive an overall ranking of items. However, preference rankings can reveal…

Machine Learning · Statistics 2025-04-04 Shirong Xu , Will Wei Sun , Guang Cheng

To mitigate the attacks by malicious peers and to motivate the peers to share the resources in peer-to-peer networks, several reputation systems have been proposed in the past. In most of them, the peers evaluate other peers based on their…

Networking and Internet Architecture · Computer Science 2016-01-08 Sateesh Kumar Awasthi , Yatindra Nath Singh

Many-to-many matching with contracts is studied in the framework of revealed preferences. All preferences are described by choice functions that satisfy natural conditions. Under a no-externality assumption individual preferences can be…

Computer Science and Game Theory · Computer Science 2020-03-05 Daniel Lehmann

Leading agent-based trust models address two important needs. First, they show how an agent may estimate the trustworthiness of another agent based on prior interactions. Second, they show how agents may share their knowledge in order to…

Multiagent Systems · Computer Science 2014-01-17 Yonghong Wang , Chung-Wei Hang , Munindar P. Singh

A recent work by Hern\'andez et al. introduced a networked voting rule supported by a trust-based social network, where indications of possible representatives were based on individuals opinions. Individual contributions went beyond a…

Physics and Society · Physics 2020-07-01 Alexis R. Hernandez , Carlos Gracia-Lazaro , Edgardo Brigatti , Yamir Moreno

We consider methods for aggregating preferences that are based on the resolution of discrete optimization problems. The preferences are represented by arbitrary binary relations (possibly weighted) or incomplete paired comparison matrices.…

Optimization and Control · Mathematics 2007-05-23 Pavel Chebotarev , Elena Shamis
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