“Analysis of the mathematical form and underlying principles of games was made by von Neumann " as early as 1928. In this early work von Neumann was not so much interested in executive-type problems as he was in the logical foundations of quantum mechanics. It was not until 1944, when von Neumann and Morgenstern published their now well known Theory of Games and Economic Behavior, that the mathematical treatment of games "took fire."”

— C. West Churchman

Source: 1940s - 1950s, Introduction to Operations Research (1957), p. 519: Partly cited in: E. Roy Weintraub (1992) Toward a history of game theory. p. 235

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C. West Churchman64

American philosopher and systems scientist 1913–2004

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“[At Princeton Samuel Wilks…] was the major interest for me… I did have a contact with Oscar Morgenstern… Von Neumann was developing theory of games at the time… but I must say, I really didn't understand it very well when he lectured it.”

Theodore Wilbur Anderson (1918–2016) American statistician

Source: "The ET interview: Professor TW Anderson," 1986, p. 525

“My first contact with game theory was a popular article in Fortune Magazine which I read in my last high school year. I was immediately attracted to the subject matter and when I studied mathematics I found the fundamental book by von Neumann and Morgenstern in the library and studied it.”

Reinhard Selten (1930–2016) German economist

"Reinhard Selten - Biographical," 1994

“[John] von Neumann gave me an interesting idea: that you don't have to be responsible for the world that you're in. So I have developed a very powerful sense of social irresponsibility as a result of von Neumann's advice. It's made me a very happy man ever since. But it was von Neumann who put the seed in that grew into my active irresponsibility!”

Richard Feynman (1918–1988) American theoretical physicist

Part 3: "Feynman, The Bomb, and the Military", "Los Alamos from Below", p. 132
Surely You're Joking, Mr. Feynman! (1985)

“The theory of games was first formalised by Von Neumann & Morgenstern (1953) in reference to human economic behaviour. Since that time, the theory has undergone extensive development… Sensibly enough, a central assumption of classical game theory is that the players will behave rationally, and according to some criterion of self-interest. Such an assumption would clearly be out of place in an evolutionary context. Instead, the criterion of rationality is replaced by that of population dynamics and stability, and the criterion of self-interest by Darwinian fitness.”

John Maynard Smith book Evolution and the Theory of Games

Source: Evolution and the Theory of Games (1973), p. 1-2.

“A mind of von Neumann's inexorable logic had to understand and accept much that most of us do not want to accept and do not even wish to understand.”

Eugene Paul Wigner (1902–1995) mathematician and Nobel Prize-winning physicist

Biographical memoir: "John von Neumann (1903 - 1957)" in Year book of the American Philosophical Society (1958); later in Symmetries and Reflections : Scientific Essays of Eugene P. Wigner (1967), p. 261
Context: A deep sense of humor and an unusual ability for telling stories and jokes endeared Johnny even to casual acquaintances. He could be blunt when necessary, but was never pompous. A mind of von Neumann's inexorable logic had to understand and accept much that most of us do not want to accept and do not even wish to understand. This fact colored many of von Neumann's moral judgments. "It is just as foolish to complain that people are selfish and treacherous as it is to complain that the magnetic field does not increase unless the electric field has a curl. Both are laws of nature." Only scientific intellectual dishonesty and misappropriation of scientific results could rouse his indignation and ire — but these did — and did almost equally whether he himself, or someone else, was wronged.

“Had it merely called to our attention the existence and exact nature of certain fundamental gaps in economic theory, the Theory of Economic Behavior by von Neumann and Morgenstern would have been a book of outstanding importance. But it does more than that. It is essentially constructive: where existing theory is considered to be inadequate, the authors put in its place a highly novel analytical apparatus designed to cope with the problem.
It would be doing the authors an injustice to say that theirs is a contribution to economics only. The scope of the book is much broader. The techniques applied by the authors in tackling economic problems are of sufficient generality to be valid in political science, sociology, or even military strategy. The applicability to games proper (chess and poker) is obvious from the title. Moreover, the book is of considerable interest from a purely mathematical point of view.”

Leonid Hurwicz (1917–2008) Russian-American economist and mathematician

Leonid Hurwicz. "The Theory of Economic Behavior," The American Economic Review, Vol. 35, No. 5 (Dec., 1945), pp. 909: Lead paragraphs of the article

“As a mathematician, von Neumann was quick, brilliant, efficient, and enormously broad in scientific interests beyond mathematics itself. He knew his technical abilities; his virtuosity in following complicated reasoning and his insights were supreme; yet he lacked absolute self confidence.”

Stanislaw Ulam (1909–1984) Polish-American mathematician

Source: Adventures of a Mathematician - Third Edition (1991), Chapter 4, Princeton Days, p. 76

“My greatest concern was what to call it. I thought of calling it 'information,' but the word was overly used, so I decided to call it 'uncertainty.' When I discussed it with John von Neumann, he had a better idea. Von Neumann told me, 'You should call it entropy, for two reasons. In the first place your uncertainty function has been used in statistical mechanics under that name, so it already has a name. In the second place, and more important, no one really knows what entropy really is, so in a debate you will always have the advantage.”

Claude Elwood Shannon (1916–2001) American mathematician and information theorist

Scientific American (1971), volume 225, page 180.
Explaining why he named his uncertainty function "entropy".

“Following von Neumann and Morgenstern [7, p. 30], we distinguish between games with complete information, to be sometimes briefly called C-games in this paper, and games with incomplete information, to be called I-games. The latter differ from the former in the fact that some or all of the players lack full information about the "rules" of the game, or equivalently about its normal form (or about its extensive form). For example, they may lack full information about other players' or even their own payoff functions, about the physical facilities and strategies available to other players or even to themselves, about the amount of information the other players have about various aspects of the game situation, etc.
In our own view it has been a major analytical deficiency of existing game theory that it has been almost completely restricted to C-games, in spite of the fact that in many real-life economic, political, military, and other social situations the participants often lack full information about some important aspects of the "game" they are playing.”

John Harsanyi (1920–2000) hungarian economist

Source: "Games with Incomplete Information Played by “Bayesian” Players," 1967, p. 163: Lead paragraph's

“As I have already hinted, one of the directions of work which the realm of ideas of the Macy meetings has suggested concerns the importance of the notion and the technique of communication in the social system. It is certainly true that the social system is an organization like the individual, that it is bound together by a system of communication, and that it has a dynamics in which circular processes of a feedback nature play an important part. This is true, both in the general fields of anthropology and sociology and in the more specific field of economics; and the very important work, which we have already mentioned, of von Neumann and Morgenstern on the theory of games enters into this range of ideas. On this basis, Drs. Gregory Bateson and Margaret Mead have urged me, in view of the intensely pressing nature of the sociological and economic problems of the present age of confusion, to devote a large part of my energies to the discussion of this side of cybernetics.”

Norbert Wiener book Cybernetics: Or Control and Communication in the Animal and the Machine

Introduction. p. 24.
Cybernetics: Or Control and Communication in the Animal and the Machine (1948)

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