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This paper explores the problem of fair assignment on Multi-Stage graphs. A multi-stage graph consists of nodes partitioned into $K$ disjoint sets (stages) structured as a sequence of weighted bipartite graphs formed across adjacent stages.…

Multiagent Systems · Computer Science 2025-08-20 Vibulan J , Swapnil Dhamal , Shweta Jain

We study the multi-agent Smoothed Online Convex Optimization (SOCO) problem, where $N$ agents interact through a communication graph. In each round, each agent $i$ receives a strongly convex hitting cost function $f^i_t$ in an online…

Optimization and Control · Mathematics 2025-01-31 Neelkamal Bhuyan , Debankur Mukherjee , Adam Wierman

We study the problem of treasure hunt in a graph by a mobile agent. The nodes in the graph are anonymous and the edges at any node $v$ of degree $deg(v)$ are labeled arbitrarily as $0,1,\ldots, deg(v)-1$. A mobile agent, starting from a…

Data Structures and Algorithms · Computer Science 2021-03-11 Barun Gorain , Kaushik Mondal , Himadri Nayak , Supantha Pandit

Graph-theoretic tools and techniques have seen wide use in the multi-agent systems literature, and the unpredictable nature of some multi-agent communications has been successfully modeled using random communication graphs. Across both…

Optimization and Control · Mathematics 2017-09-18 Matthew T. Hale

Multi-agent pathfinding (MAPF) is a challenging problem which is hard to solve optimally even when simplifying assumptions are adopted, e.g. planar graphs (typically -- grids), discretized time, uniform duration of move and wait actions…

Multiagent Systems · Computer Science 2022-08-26 Stepan Dergachev , Konstantin Yakovlev

In this work we study a well-known and challenging problem of Multi-agent Pathfinding, when a set of agents is confined to a graph, each agent is assigned a unique start and goal vertices and the task is to find a set of collision-free…

Artificial Intelligence · Computer Science 2023-07-26 Yelisey Pitanov , Alexey Skrynnik , Anton Andreychuk , Konstantin Yakovlev , Aleksandr Panov

Recently, strategic games inspired by Schelling's influential model of residential segregation have been studied in the TCS and AI literature. In these games, agents of k different types occupy the nodes of a network topology aiming to…

Computer Science and Game Theory · Computer Science 2024-03-15 Lata Narayanan , Yasaman Sabbagh , Alexandros A. Voudouris

A mobile agent navigating along edges of a simple connected graph, either finite or countably infinite, has to find an inert target (treasure) hidden in one of the nodes. This task is known as treasure hunt. The agent has no a priori…

Data Structures and Algorithms · Computer Science 2021-02-16 Sébastien Bouchard , Yoann Dieudonné , Arnaud Labourel , Andrzej Pelc

Given a hypergraph with uncertain node weights following known probability distributions, we study the problem of querying as few nodes as possible until the identity of a node with minimum weight can be determined for each hyperedge.…

Data Structures and Algorithms · Computer Science 2021-07-02 Evripidis Bampis , Christoph Dürr , Thomas Erlebach , Murilo S. de Lima , Nicole Megow , Jens Schlöter

A common phenomena in modern recommendation systems is the use of feedback from one user to infer the `value' of an item to other users. This results in an exploration vs. exploitation trade-off, in which items of possibly low value have to…

Machine Learning · Computer Science 2014-11-11 Siddhartha Banerjee , Sujay Sanghavi , Sanjay Shakkottai

We consider a multi-agent multi-armed bandit setting in which $n$ honest agents collaborate over a network to minimize regret but $m$ malicious agents can disrupt learning arbitrarily. Assuming the network is the complete graph, existing…

Machine Learning · Computer Science 2023-01-30 Daniel Vial , Sanjay Shakkottai , R. Srikant

Recent advances in Large Language Model Multi-Agent Systems enable scalable orchestration and retrieval of specialized, parallelized subagents, each equipped with hundreds or thousands of Model Context Protocol (MCP) servers and tools.…

Computation and Language · Computer Science 2025-11-25 Faheem Nizar , Elias Lumer , Anmol Gulati , Pradeep Honaganahalli Basavaraju , Vamse Kumar Subbiah

In many problems, agents cooperate locally so that a leader or fusion center can infer the state of every agent from probing the state of only a small number of agents. Versions of this problem arise when a fusion center reconstructs an…

Multiagent Systems · Computer Science 2017-02-10 Stephen Kruzick , Sérgio Pequito , Soummya Kar , José M. F. Moura , A. Pedro Aguiar

In Multiagent Path Finding (MAPF), the goal is to compute efficient, collision-free paths for multiple agents navigating a network from their sources to targets, minimizing the schedule's makespan-the total time until all agents reach their…

Multiagent Systems · Computer Science 2025-08-07 Foivos Fioravantes , Dušan Knop , Nikolaos Melissinos , Michal Opler

We investigate some of the properties and extensions of a dynamic innovation network model recently introduced in \citep{koenig07:_effic_stabil_dynam_innov_networ}. In the model, the set of efficient graphs ranges, depending on the cost for…

Physics and Society · Physics 2009-04-05 Michael D. Koenig , Stefano Battiston , Mauro Napoletano , Frank Schweitzer

We introduce the rendezvous game with adversaries. In this game, two players, {\sl Facilitator} and {\sl Disruptor}, play against each other on a graph. Facilitator has two agents, and Disruptor has a team of $k$ agents located in some…

Discrete Mathematics · Computer Science 2021-03-12 Fedor V. Fomin , Petr A. Golovach , Dimitrios M. Thilikos

Many phenomena in real world social networks are interpreted as spread of influence between activated and non-activated network elements. These phenomena are formulated by combinatorial graphs, where vertices represent the elements and…

Discrete Mathematics · Computer Science 2024-03-01 Siavash Askari , Manouchehr Zaker

The $d$-capacity of a graph $G$ is introduced as the maximum number of players that can simultaneously traverse $G$ such that each player visits all vertices while maintaining a distance of at least $d$ under various movement rules. We…

We consider planning problems for graphs, Markov decision processes (MDPs), and games on graphs. While graphs represent the most basic planning model, MDPs represent interaction with nature and games on graphs represent interaction with an…

Data Structures and Algorithms · Computer Science 2018-04-20 Krishnendu Chatterjee , Wolfgang Dvořák , Monika Henzinger , Alexander Svozil

Today's networks consist of many autonomous entities that follow their own objectives, i.e., smart devices or parts of large AI systems, that are interconnected. Given the size and complexity of most communication networks, each entity…

Computer Science and Game Theory · Computer Science 2026-02-02 Pascal Lenzner , Paraskevi Machaira