The game theory as a mathematical field was founded by Hungarian mathematician John von Neumann, the author of the article named On Game Theory (1928), in which he proved basic sentences of matrix games. Together with Oskar Morgenstern they published the book of Game Theory and Economic Behavior in 1944 (Hykšová, 2004). Game theory was able to find most applications in economy. Many mathematicians were awarded the Nobel Prize for Economy for research on this field.