Regulation of game result for n-person random evolutionary Boolean games

This paper investigates the regulation of game result for n-person random evolutionary Boolean game (REBG). Using the semi-tensor product of matrices, the n-person REBG together with the reference evolutionary Boolean game are converted into an augmented system. Based on the augmented system, a necessary and sufficient condition is presented for the solvability of the regulation of game result of n-person REBG by constructing a series of stochastic reachable sets. The study of an illustrative example shows the effectiveness of the obtained new results.