  The region select game, introduced by Ayaka Shimizu, Akio Kawauchi and Kengo
Kishimoto, is a game that is played on knot diagrams whose crossings are
endowed with two colors. The game is based on the region crossing change moves
that induce an unknotting operation on knot diagrams. We generalize the region
select game to be played on a knot diagram endowed with $k$-colors at its
vertices for $2 \leq k \leq \infty$.
