Multi-Defender Single-Attacker Perimeter Defense Game on a Cylinder: Special Case in which the Attacker Starts at the Boundary

Michael Otte, Roderich Groß
2/12/2026
cs.MA

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Abstract

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.

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Cite this paper

@article{otte2026multidefender,
  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},
  year   = {2026},
  eprint = {2602.11977},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2602.11977v1}
}

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