“This book contains an exposition and various applications of a mathematical theory of games. The theory has been developed by one of us since 1928 and is now published for the first time in its entirety. The applications are of two kinds: On the one hand to games in the proper sense, on the other hand to economic and sociological problems. Our aim is primarily to show that there is a rigorous approach to these subjects, involving, as they do, questions of parallel or opposite interest, perfect or imperfect information, free rational decision or chance influences.”
“Cellular automata were conceived in 1948 by John von Neumann, whose motivation was in finding a reductionist model for biological evolution [vonN51].”— Andrew Ilachinski (2001), Cellular Automata (Ѻ)
“Based on his general approach, one may say von Neumann was a psychophysical reductionist.”— Miklos Redei and Michael Stoltzner (2001), John von Neumann and the Foundations of Quantum Physics (Ѻ)
“Game theory is a new discipline that has aroused much interest because of its novel mathematical properties and its many applications to social, economic, and political problems. Earlier efforts were oriented on the physical sciences and inspired by the tremendous success these have had over the centuries. Yet social phenomena are different: people are acting sometimes against each other, sometimes cooperatively with each other; they have different degrees of information about each other, their aspirations lead them to conflict or cooperation. Inanimate nature shows none of these traits. Atoms, molecules, stars may coagulate, collide, and explode but they do not fight each other; nor do they collaborate. Consequently, it was dubious that methods and concepts developed for physical sciences would succeed in being applied to social problems.”
“[The notion of stability that emerges in connection with imputation and stabile sets] has nothing to do with the usual equilibria of physics … indeed the present notion differs so profoundly with the usual ideas of stability and equilibrium that one would prefer to avoid even the use of the words. But no better ones have yet been found.”
Morgenstern and John Neumann at Spring Lake, circa 1946. |
“When a chemist predicts how molecules will react in a test tube, the molecules are oblivious. They do what they do the same way whether a chemist correctly predicts it or not. But in the social sciences, people display much more independence than molecules do. In particular, if people known what you’re predicting you will do, they might do something else just to annoy you.”