We describe a multi-agent perimeter defense game played on a cylinder. A team of n slow-moving defenders must prevent a single fast-moving attacker from crossing the boundary of a defensive perimeter. We describe the conditions necessary for the attacker to win in the special case that the intruder starts close to the boundary and in a region that is currently defended.
@article{arxiv.2602.11977,
title = {Multi-Defender Single-Attacker Perimeter Defense Game on a Cylinder: Special Case in which the Attacker Starts at the Boundary},
author = {Michael Otte and Roderich Groß},
journal= {arXiv preprint arXiv:2602.11977},
year = {2026}
}