Anne, Brendan, and Cheryl play the following game. At the first stage, Anne chooses to play with Brendan or Cheryl. If Brendan is chosen, they play Game I, and if Cheryl is chosen, they play Game II. The games are shown below. In each of these games, Anne chooses between T and B, and her opponent chooses between L and R. The payoff of the player who is not chosen is 0.