In the following game tree, players A and B alternate moves. At each turn, a player can

Question:

In the following game tree, players A and B alternate moves. At each turn, a player can terminate the game or pass the move to the next player. By passing, the player increases the rival€™s potential payoff by five units and reduces her own by one unit. Thus, as long as both players pass the move on to one another, their payoffs increase.
a. Suppose you are paired with another student with whom you will play the game. Just based on your judgment (no analysis), how would you play?
b. Now analyze the game tree by working backward. What actions should the players take? What is the outcome? Briefly explain thisresult.