 It can be shown that this notion is equivalent to the notion of truth in team semantics. In fact, we can show more than this. If, for any team \(X\) and formula \(\phi\), the game \(G_{M,X}(\phi)\) is played as \(G_M(\phi)\) but with the initial position chosen randomly for every play from \(\{(\phi, s) : s \in X\}\), then the following holds: