Dynamic Multi-Robot Task Allocation under Uncertainty and Communication Constraints: A Game-Theoretic Approach

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Main Authors: Mendoza, Maria G., Su, Pan-Yang, Ferguson, Bryce L., Sastry, S. Shankar
Format: Preprint
Published: 2026
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author Mendoza, Maria G.
Su, Pan-Yang
Ferguson, Bryce L.
Sastry, S. Shankar
author_facet Mendoza, Maria G.
Su, Pan-Yang
Ferguson, Bryce L.
Sastry, S. Shankar
contents We study dynamic multi-robot task allocation under uncertain task completion, time-window constraints, and incomplete information. Tasks arrive online over a finite horizon and must be completed within specified deadlines, while agents operate from distributed hubs with limited sensing and communication. We model incomplete information through hub-based sensing regions that determine task visibility and a communication graph that governs inter-hub information exchange. Using this framework, we propose Iterative Best Response (IBR), a decentralized policy in which each agent selects the task that maximizes its marginal contribution to the locally observed welfare. We compare IBR against three baselines: Earliest Due Date first (EDD), Hungarian algorithm, and Stochastic Conflict-Based Allocation (SCoBA), on a city-scale package-delivery domain with up to 100 drones and varying task arrival scenarios. Under full and sparse communication, IBR achieves competitive task-completion performance with lower computation time.
format Preprint
id arxiv_https___arxiv_org_abs_2604_11954
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Dynamic Multi-Robot Task Allocation under Uncertainty and Communication Constraints: A Game-Theoretic Approach
Mendoza, Maria G.
Su, Pan-Yang
Ferguson, Bryce L.
Sastry, S. Shankar
Systems and Control
Computer Science and Game Theory
Robotics
We study dynamic multi-robot task allocation under uncertain task completion, time-window constraints, and incomplete information. Tasks arrive online over a finite horizon and must be completed within specified deadlines, while agents operate from distributed hubs with limited sensing and communication. We model incomplete information through hub-based sensing regions that determine task visibility and a communication graph that governs inter-hub information exchange. Using this framework, we propose Iterative Best Response (IBR), a decentralized policy in which each agent selects the task that maximizes its marginal contribution to the locally observed welfare. We compare IBR against three baselines: Earliest Due Date first (EDD), Hungarian algorithm, and Stochastic Conflict-Based Allocation (SCoBA), on a city-scale package-delivery domain with up to 100 drones and varying task arrival scenarios. Under full and sparse communication, IBR achieves competitive task-completion performance with lower computation time.
title Dynamic Multi-Robot Task Allocation under Uncertainty and Communication Constraints: A Game-Theoretic Approach
topic Systems and Control
Computer Science and Game Theory
Robotics
url https://arxiv.org/abs/2604.11954