Player II

D E F

_________________

Player A X,6 0,4 4,4

I B 3,3 0,0 1,5

C 1,1 3,5 2,3

Consider the game above.Suppose Player 1conjectures that Player 2plays D with probability 1/4,E with probability 1/8,and F with probability 5/8.

The value of X that makes Player 1 randomize evenly between strategies A and C (i.e., play p=(1/2, 0, 1/2)) is [x].

Please, do not use fractional forms; if your answer is -1/2 use -0.5 instead.