Games of Continuous Automata

The game $G$ of continuous automata is defined. The internal state probability distribution for a collective of $\nu$ automata is shown to be described by a $\nu$-dimensional Fokker–Planck equation. The Goore game with independent penalties is investigated on the assumption that the minimum of the penalty curve is small compared with 1/2, and the memory of the automata $L$ increases indefinitely with $\nu$.