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

2026-02-12

AI Summary

This study addresses the problem of how multiple slower defenders can cooperatively prevent a faster attacker from breaching a cylindrical defense perimeter when the attacker originates near the boundary. By formulating a multi-agent differential game on the cylindrical surface tailored to this specific initial configuration, the authors integrate geometric analysis with cooperative control strategies to rigorously derive necessary conditions for successful attacker penetration. The work establishes critical criteria that determine the outcome of the pursuit-evasion encounter under such initial conditions, thereby extending the theoretical foundations of perimeter defense games and providing analytical support for the deployment and coordination of multiple defenders.

Technology Category

• Game Theory and Economic Paradigms: Cooperative Game Theory
• Multiagent Systems: Adversarial Agents
• Search and Optimization: Adversarial Search

Application Category

• User Modeling, Personalization and Recommendation: Attacks and countermeasures in recommendation systems
• Security and Privacy: Large-scale security measurements
• Economics, Online Markets and Human Computation: Incentives in network design for Web infrastructures and ecosystems

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.

Problem

• perimeter defense
• multi-defender
• single-attacker
• cylinder
• boundary intrusion

Innovation

• perimeter defense game
• cylindrical geometry
• multi-defender single-attacker
• boundary conditions
• differential games