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Pursuit Strategies for Capture-the-Flag Games With Half-Plane Flag and Return Region
IEEE Transactions on Cybernetics
|February 19, 2026
Summary
This study analyzes multiplayer capture-the-flag (CTF) games, determining winning strategies for pursuers. It establishes conditions for pursuer victory and identifies that only two pursuers are needed for guaranteed wins.
Area of Science:
- Control Theory
- Game Theory
- Robotics
Background:
- Multiplayer differential games present complex strategic challenges.
- Capture-the-flag (CTF) scenarios involve intricate pursuit-evasion dynamics.
Purpose of the Study:
- To determine the winner of a multiplayer CTF differential game.
- To compute pursuit-winning strategies for intercepting evaders.
- To analyze conditions for pursuer victory in half-plane pursuit scenarios.
Main Methods:
- Decomposition of the multiplayer game into multiple pursuer-evader subgames.
- Analysis of necessary and sufficient conditions for determining the game winner.
- Extension of strategies to include flag-staying time and minimum safe flag position.
Main Results:
- Identified strategies ensuring pursuer victory regardless of evader actions.
- Established conditions for determining the game winner.
- Proved that a maximum of two pursuers are sufficient for guaranteed pursuit wins.
Conclusions:
- The study provides a framework for solving complex multiplayer CTF games.
- Computational complexity is reduced by focusing on pairwise subgame outcomes.
- Theoretical conclusions are validated through numerical and experimental results.
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