MatrixWorld
MatrixWorld: A pursuit-evasion platform for safe multi-agent coordination and autocurricula
Install / Use
/learn @LijunSun90/MatrixWorldREADME
Official code for the paper "MatrixWorld: A pursuit-evasion platform for safe multi-agent coordination and autocurricula", which is preprinted in Arxiv and under review.
More documents will be updated continuously.
Description
MatrixWorld is
- a safety constrained pursuit-evasion platform for safe multi-agent coordination,
- a lightweight co-evolution environment for autocurricula research.
In this work,
- the safety is defined in terms of multi-agent collision avoidance. It covers diverse safety definitions in the real-world applications.
- 9 pursuit-evasion game variants are defined for example scenarios like real-world drone and vehicle swarm, multi-agent path finding (MAPF), popular pursuit-evasion setups, and classic cops-and-robbers problem.
It can be used for the research of
- safe multi-agent environment implementation,
- safe multi-agent reinforcement learnng (MARL),
- safe multi-agent coordination,
- co-evolution, autocurricula, self-play, arm races, or adversarial learning.
Task definition
- Nine pursuit-evasion variants are defined for example scenarios like (1) real-world drone and vehicle swarm, (2) multi-agent path finding (MAPF), (3) popular pursuit-evasion setups, and (4) classic cops-androbbers problem.
- More pursuit-evasion variants (other tasks) can be designed based on different practical meanings of safety.

Environmental parameters
- Origin of the grid world: Top left corner.
- Size of the grid world: Tunable. Default value: 20 x 20.
- Swarm size of agents (pursuers and evaders): Tunable. Default value: n_evaders=3, n_pursuers=12.
- Observation: Tunable. Binary matrix of size fov_scope x fov_scope x 3, which is a square centered at the agent with 3 channels: local_evader, local_pursuers, local_obstacles. Default value is: 11 x 11 x 3.
- Action: Vector of size 5, where 0 ~ 4 represent keeping still, moving north, moving east, moving south, and moving west.
Remark: The codes provide utility functions for matrix-based and vector-based global and local observations.
Safety-constrained multi-agent action execution model
The proposed safety-constrained multi-agent action execution model is general for the software implementation of safe multi-agent environments.
It consists two parts: (1) multi-agent-environment interaction model; (2) safety-constrained collision resolution mechanism for the simultaneous action execution of multiple agents.
(1) Multi-agent-environment interaction model
Multi-agent-environment interaction model in adversarial multi-agent settings, e.g., pursuit-evasion games.

(2) Safety-constrained collision resolution mechanism
The collision resolution mechanism is defined for the simultaneous action execution of agents, which consists of 3 collisions types and 3 collision outcomes for each type, based on the safety definitions in real-world applications and literature conventions.
Remark: The collision resolution mechanism also determines which agent should be responsible, which is useful for the correct learning of algorithms.

Lightweight co-evolution platform
- MatrixWorld is a lightweight co-evolution platform to test autocurricula research ideas.
- Our experiments achieve the autocurricula between pursuers and evaders by adversarial learning.
- Our experiments show that the passive (evasive) policy learning benefits more from co-evolution than active (pursuing) policy learning in an asymmetric adversarial game.
Figure: (left) evasive behavior trained by normal reinforcement learning; (middle) evasive behavior trained by adversarial learning; (right) arms race in the learning process of pursuers and evaders.

Paper citation
Cite the following paper if you use this environment, code, or found it useful.
@article{sun2023matrixworld,
title={MatrixWorld: A pursuit-evasion platform for safe multi-agent coordination and autocurricula},
author={Sun, Lijun and Chang, Yu-Cheng and Lyu, Chao and Lin, Chin-Teng and Shi, Yuhui},
journal={arXiv preprint arXiv:2307.14854},
year={2023}
}
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