Consider the following game involving two real players and a chance move by nature. America and Russia have the nuclear capability to destroy each other. Naturetosses a fair coin so that with probability 1 2 America moves rst and Russia moves second, and with probability 1 2 Russia moves rst and America moves second. For now, assume that both countries observe natures choice so they know whether they are rst or second. The country who moves rst decides whether to reits missiles or to wait. If it res, the game ends: the country who red gets a payo of 1, and the other country gets 4. If the rst country waits, then the second country gets to mov