discriminator and we call J superscript D which is just the normal cross entropy cost associated with the binary classification problem of telling real data from fake data we have one mini batch of real data drawn from the data set and what a mini batch of fake data drawn from the generator and then if we use this minimax formulation of the game then the cost for the generator is just the negation of the cost for the discriminator the equilibrium of this game is a saddle point of a superscript D and finding this saddle point