the generator producing perfect samples that come from the same distribution as a trading data in other words the counterfeit are producing counterfeit money that is indistinguishable from real money and at that point the discriminator or in other words the police can not actually distinguish between the two sources of data and simply says that every input has probability one-half of being real and probability one-half of being fake we can formally describe the learning process using what's called a minimax game so we have a cost function for the