particular if we look at the minimax version the min Max and the max min do different things if we do the min max where we put the discriminator in the inner loop and maximize over it there then we're guaranteed to converge to the correct distribution in practice we don't actually do the maximization in the inner loop we do gradient descent on both players simultaneously if we put G in the inner loop that actually corresponds to a pathological version of the game where the generator learns to place all of its mass on the single