Consider a simultaneous move, N-player game where players simultaneously choose a number from the interval [0, 90]. The player who has a guess closest to 2/3 of the average guess will win the game. What is the Nash equilibrium strategy for this game? Consider a duopoly model where firms sell identical products and face the market demand curve given by QD=13-P Both firms have constant marginal and average cost equal to $1. If firms compete by setting output levels in a static, single period, simultaneous move game, how many units would a single firm produce in the cartel allocation, assuming it is split equally between duopolists?