Abstract
A pursuit game is a multi-agents' benchmark problem, where 4 blue agents pursue and capture a red agent on a grid environment. In the previous research, we extended a grid environment to a real number one and proposed a method of fuzzy Q-learning with the state of fuzzy sets. In this research, we perform a numerical simulation with the environment and algorithm in the previous research.
We have a result that we only need a small number of states to solve the problem in the previous research. We have reasons that the red agent with random movement
does not get away from blue agents in spite that the red one has the same speed as blue ones, a blue agent has a large capture range and only 3 blue agents can often
capture the red one.