Two-player min-max game J(theta, w) on a saddle surface

Two-outcome coin game (real p_x = (0.5, 0.5)). Critic chooses Δw = T(b) − T(a) to maximise J; generator chooses θ = p_θ(a) to minimise J.

generator θ = p_θ(a) 0.80 critic slope w 0.70

score J(θ, w) 0.165

best critic J(θ, w*) = D_KL 0.223

optimal critic w* 1.386