Question 15.70

38. In a sequential truel with no firing in the air allowed, suppose , who hates , goes first; , who hates , goes second; , who hates , goes third. (If a player fires, he will shoot only his antagonist—the player he hates.)

  1. Which player is in the best position, and why?
  2. Does the outcome change if hates rather than ?

Answer these questions (1) if each player can take only one turn (if alive), and (2) if, after one round, the game continues (if there is more than one player alive) and each player can take more than one turn.