EN
The study sets out to present the game-theory work of John (János) Neumann and show the place it occupies in the history of mathematics. It treats in detail the famous minimax theorem he devised and the Neumann-Morgenstern solution, as well as criticisms of it and the alternative concepts for a solution put forward over more than fifty years. The author reports on the present situation in game-theory research and its current problems and applications.