Imagine a game in which players 1 and 2 simultaneously and independently select A or B. If they both select A, then the game ends and the payoffs are...

Imagine a game in which players 1 and 2 simultaneously and independently select A or B. If they both select A, then the game ends and the payoffs are (5,5). If they both select B, then the game ends with the payoffs (-1,-1). If one of the players chooses A while the other selects B, then the game continues and the players are required to simultaneously and independently select positive numbers. After these decisions, the game ends and each player receives the payoff , where is the positive number chosen by player 1 and is the positive number chosen by player 2. Find the Nash equilibrium of this game.34. Imagine a market in which two firms compete by selecting quantities