We design a new efficient strategy synthesis method applicable to adversarial patrolling problems on graphs with arbitrary-length edges and possibly imperfect intrusion detection. The core ingredient is an efficient algorithm for computing the value and the gradient of a function assigning to every strategy its "protection" achieved. This allows for designing an efficient strategy improvement algorithm by differentiable programming and optimization techniques. Our method is the first one applicable to real-world patrolling graphs of reasonable sizes. It outperforms the state-of-the-art strategy synthesis algorithm by a margin.
@article{arxiv.2108.08950,
title = {Regstar: Efficient Strategy Synthesis for Adversarial Patrolling Games},
author = {David Klaška and Antonín Kučera and Vít Musil and Vojtěch Řehák},
journal= {arXiv preprint arXiv:2108.08950},
year = {2022}
}