Title: Adversarial Problems for Generative Networks. Abstract: We are interested in the design of generative networks. The training of these mathematical structures is mostly performed with the help of adversarial (min-max) optimization problems. We propose a simple methodology for constructing such problems assuring, at the same time, consistency of the corresponding solution. We give characteristic examples developed by our method, some of which can be recognized from other applications and some are introduced here for the first time. We compare various possibilities by applying them to well known datasets using neural networks of different configurations and sizes.