 Caring about exact moves as done here constitutes a fine-grained perspective on games. There are others. When focusing on players’ powers for bringing about certain outcomes, for instance, the analysis changes. In the game on the left, A has a strategy (playing left) that ensures the game to end up in an outcome satisfying p, and one (playing right) that restricts possible outcomes to those satisfying \(q \lor r\). With this second strategy, the further choice which of \(q or r\) gets realized is left up to player E. Also the second player, E, has two strategies in the game on the left, one (playing left) ensuring the outcome to satisfy \(p\lor q\), the other (playing right) guaranteeing that the outcome satisfies \(p \lor r\).