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We study the problem of matching agents who arrive at a marketplace over time and leave after d time periods. Agents can only be matched while they are present in the marketplace. Each pair of agents can yield a different match value, and…

Data Structures and Algorithms · Computer Science 2018-03-06 Itai Ashlagi , Maximilien Burq , Patrick Jaillet , Amin Saberi

The classical multi-agent rendezvous problem asks for a deterministic algorithm by which $n$ points scattered in a plane can move about at constant speed and merge at a single point, assuming each point can use only the locations of the…

Multiagent Systems · Computer Science 2013-06-24 Peter Hegarty , Anders Martinsson , Dmitry Zhelezov

In a dynamic matching market, such as a marriage or job market, how should agents balance accepting a proposed match with the cost of continuing their search? We consider this problem in a discrete setting, in which agents have cardinal…

Computer Science and Game Theory · Computer Science 2021-06-16 Ishan Agarwal , Richard Cole , Yixin Tao

Blind rendezvous is a fundamental problem in cognitive radio networks. The problem involves a collection of agents (radios) that wish to discover each other in the blind setting where there is no shared infrastructure and they initially…

Networking and Internet Architecture · Computer Science 2014-01-29 Sixia Chen , Alexander Russell , Abhishek Samanta , Ravi Sundaram

This paper revisits the widely researched \textit{gathering} problem for two robots in a scenario which allows randomization in the asynchronous scheduling model. The scheduler is considered to be the adversary which determines the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-24 Debasish Pattanayak , John Augustine , Partha Sarathi Mandal

In the rendezvous problem, two parties with different labelings of the vertices of a complete graph are trying to meet at some vertex at the same time. It is well-known that if the parties have predetermined roles, then the strategy where…

Combinatorics · Mathematics 2016-09-07 Varsha Dani , Thomas P. Hayes , Cristopher Moore , Alexander Russell

In the rendezvous problem, two computing entities (called \emph{agents}) located at different vertices in a graph have to meet at the same vertex. In this paper, we consider the synchronous \emph{neighborhood rendezvous problem}, where the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-14 Ryota Eguchi , Naoki Kitamura , Taisuke Izumi

This report surveys results on distributed systems comprising mobile agents that are identical and anonymous, oblivious and interact solely by adjusting their motion according to the relative location of their neighbours. The agents are…

Multiagent Systems · Computer Science 2019-02-06 Ariel Barel , Rotem Manor , Alfred M. Bruckstein

We introduce a simple benchmark model of dynamic matching in networked markets, where agents arrive and depart stochastically and the network of acceptable transactions among agents forms a random graph. We analyze our model from three…

Computer Science and Game Theory · Computer Science 2014-02-18 Mohammad Akbarpour , Shengwu Li , Shayan Oveis Gharan

A set of mobile robots is placed at points of an infinite line. The robots are equipped with GPS devices and they may communicate their positions on the line to a central authority. The collection contains an unknown subset of "spies",…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-24 Huda Chuangpishit , Jurek Czyzowicz , Evangelos Kranakis , Danny Krizanc

A group of mobile agents is given a task to explore an edge-weighted graph $G$, i.e., every vertex of $G$ has to be visited by at least one agent. There is no centralized unit to coordinate their actions, but they can freely communicate…

Discrete Mathematics · Computer Science 2019-02-20 Dorota Osula

We study a dynamic non-bipartite matching problem. There is a fixed set of agent types, and agents of a given type arrive and depart according to type-specific Poisson processes. Agent departures are not announced in advance. The value of a…

Computer Science and Game Theory · Computer Science 2021-01-12 Natalie Collina , Nicole Immorlica , Kevin Leyton-Brown , Brendan Lucier , Neil Newman

We consider the problem of planning a collision-free path of a robot in the presence of risk zones. The robot is allowed to travel in these zones but is penalized in a super-linear fashion for consecutive accumulative time spent there. We…

Computational Geometry · Computer Science 2017-03-10 Oren Salzman , Siddhartha Srinivasa

This paper explores a novel extension of dynamic matching theory by analyzing a three-way matching problem involving agents from three distinct populations, each with two possible types. Unlike traditional static or two-way dynamic models,…

Theoretical Economics · Economics 2025-07-09 Souvik Roy , Agamani Saha

Robots that navigate among pedestrians use collision avoidance algorithms to enable safe and efficient operation. Recent works present deep reinforcement learning as a framework to model the complex interactions and cooperation. However,…

Robotics · Computer Science 2018-05-08 Michael Everett , Yu Fan Chen , Jonathan P. How

The game of rendezvous with adversaries is a game on a graph played by two players: Facilitator and Divider. Facilitator has two agents and Divider has a team of $k \ge 1$ agents. While the initial positions of Facilitator's agents are…

Data Structures and Algorithms · Computer Science 2022-10-07 Neeldhara Misra , Manas Mulpuri , Prafullkumar Tale , Gaurav Viramgami

This paper investigates the task assignment problem for multiple dispersed robots constrained by limited communication range. The robots are initially randomly distributed and need to visit several target locations while minimizing the…

Optimization and Control · Mathematics 2017-02-16 Xiaoshan Bai , Weisheng Yan , Ming Cao , Jie Huang

In this paper, we have considered two fully synchronous $\mathcal{OBLOT}$ robots having no agreement on coordinates entering a finite unoriented grid through a door vertex at a corner, one by one. There is a resource that can move around…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-15 Pritam Goswami , Avisek Sharma , Satakshi Ghosh , Buddhadeb Sau

Coordinating agents through hazardous environments, such as aid-delivering drones navigating conflict zones or field robots traversing deployment areas filled with obstacles, poses fundamental planning challenges. We introduce and analyze…

Computer Science and Game Theory · Computer Science 2026-03-20 Andrzej Kaczmarczyk , Šimon Schierreich , Nicholas Axel Tanujaya , Haifeng Xu

This paper investigates the rendezvous problem for the autonomous cooperative landing of an unmanned aerial vehicle (UAV) on an unmanned surface vehicle (USV). Such heterogeneous agents, with nonlinear dynamics, are dynamically decoupled…

Systems and Control · Electrical Eng. & Systems 2022-06-14 Dženan Lapandić , Linnea Persson , Dimos V. Dimarogonas , Bo Wahlberg