# An Introduction to Pursuit-evasion Differential Games

arXiv: https://arxiv.org/abs/2003.05013 · HTML: https://mlsanity.com/paper/2003.05013/

## Key facts

- Cited by 9 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 10 Mar 2020.

## Built on by (most cited first, 9 of 9)

- [A Survey of Decision Making in Adversarial Games](https://mlsanity.com/paper/2207.07971/) (2022)
- [Toward multi-target self-organizing pursuit in a partially observable Markov game](https://mlsanity.com/paper/2206.12330/) (2022)
- [Satellite Chasers: Divergent Adversarial Reinforcement Learning to Engage Intelligent Adversaries on Orbit](https://mlsanity.com/paper/2409.17443/) (2024)
- [TERL: Large-Scale Multi-Target Encirclement Using Transformer-Enhanced Reinforcement Learning](https://mlsanity.com/paper/2503.12395/) (2025)
- [A Three-Dimensional Pursuit-Evasion Game Based on Fuzzy Actor-Critic Learning Algorithm](https://mlsanity.com/paper/2503.08013/) (2025)
- [Reinforcement learning in pursuit-evasion differential game: safety, stability and robustness](https://mlsanity.com/paper/2507.19516/) (2025)
- [Strategic Communication under Threat: Learning Information Trade-offs in Pursuit-Evasion Games](https://mlsanity.com/paper/2510.07813/) (2025)
- [Fast and the Furious: Hot Starts in Pursuit-Evasion Games](https://mlsanity.com/paper/2510.10830/) (2025)
- [Game-Theory-Assisted Reinforcement Learning for Border Defense: Early Termination based on Analytical Solutions](https://mlsanity.com/paper/2603.15907/) (2026)

## Abstract (arXiv)

Pursuit and evasion conflicts represent challenging problems with important applications in aerospace and robotics. In pursuit-evasion problems, synthesis of intelligent actions must consider the adversary's potential strategies. Differential game theory provides an adequate framework to analyze possible outcomes of the conflict without assuming particular behaviors by the opponent. This article presents an organized introduction of pursuit-evasion differential games with an overview of recent advances in the area. First, a summary of the seminal work is outlined, highlighting important contributions. Next, more recent results are described by employing a classification based on the number of players: one-pursuer-one-evader, N-pursuers-one-evader, one-pursuer-M-evaders, and N-pursuer-M-evader games. In each scenario, a brief summary of the literature is presented. Finally, two representative pursuit-evasion differential games are studied in detail: the two-cutters and fugitive ship differential game and the active target defense differential game. These problems provide two important applications and, more importantly, they give great insight into the realization of cooperation between friendly agents in order to form a team and defeat the adversary.