'Compute agent 2\'s best cost-minimizing response K, given F.
Parameters
F : array_like(float, ndim=2)
A k x n array
Returns
K : array_like(float, ndim=2)
Agent\'s best cost minimizing response for a given F
P : array_like(float, ndim=2)
The value function for a given F'

def F_to_K(self, F):

    Q2 = (self.beta * self.theta)
    R2 = ((- self.R) - dot(F.T, dot(self.Q, F)))
    A2 = (self.A - dot(self.B, F))
    B2 = self.C
    lq = LQ(Q2, R2, A2, B2, beta=self.beta)
    (neg_P, neg_K, d) = lq.stationary_values()
    return ((- neg_K), (- neg_P))
