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

TL;DR

This paper models a perimeter defense game on a cylindrical surface where multiple defenders aim to stop a fast attacker from crossing, analyzing the specific case when the attacker begins near the boundary within defended regions.

Contribution

It introduces a novel multi-agent perimeter defense game on a cylinder and analyzes the specific scenario where the attacker starts close to the boundary within defended areas.

Findings

Derived conditions for attacker victory in the special case

Characterized defender strategies for boundary protection

Analyzed the impact of attacker starting position on defense success

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.