“The writer has developed a “dynamical” approach to the study of cooperative games based upon reduction to non-cooperative form.”

—  John Nash

"Non-cooperative Games" in Annals of Mathematics, Vol. 54, No. 2 (September 1951)<!-- ; as cited in Can and should the Nash program be looked at as a part of mechanism theory? (2003) by Walter Trockel -->
1950s
Context: The writer has developed a “dynamical” approach to the study of cooperative games based upon reduction to non-cooperative form. One proceeds by constructing a model of the preplay negotiation so that the steps of negotiation become moves in a larger non-cooperative game [which will have an infinity of pure strategies] describing the total situation. This larger game is then treated in terms of the theory of this paper [extended to infinite games] and if values are obtained they are taken as the values of the cooperative game. Thus the problem of analyzing a cooperative game becomes the problem of obtaining a suitable, and convincing, non-cooperative model for the negotiation.
The writer has, by such a treatment, obtained values for all finite two-person cooperative games, and some special n-person games.

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American mathematician and Nobel Prize laureate 1928–2015

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John Nash photo

“A less obvious type of application (of non-cooperative games) is to the study of .”

John Nash (1928–2015) American mathematician and Nobel Prize laureate

"Non-cooperative Games" in Annals of Mathematics, Vol. 54, No. 2 (September 1951); as cited in Can and should the Nash program be looked at as a part of mechanism theory? (2003) by Walter Trockel
1950s
Context: A less obvious type of application (of non-cooperative games) is to the study of. By a cooperative game we mean a situation involving a set of players, pure strategies, and payoffs as usual; but with the assumption that the players can and will collaborate as they do in the von Neumann and Morgenstern theory. This means the players may communicate and form coalitions which will be enforced by an umpire. It is unnecessarily restrictive, however, to assume any transferability or even comparability of the pay-offs [which should be in utility units] to different players. Any desired transferability can be put into the game itself instead of assuming it possible in the extra-game collaboration.

John Nash photo

“The writer has, by such a treatment, obtained values for all finite two-person cooperative games, and some special n-person games.”

John Nash (1928–2015) American mathematician and Nobel Prize laureate

"Non-cooperative Games" in Annals of Mathematics, Vol. 54, No. 2 (September 1951)<!-- ; as cited in Can and should the Nash program be looked at as a part of mechanism theory? (2003) by Walter Trockel -->
1950s
Context: The writer has developed a “dynamical” approach to the study of cooperative games based upon reduction to non-cooperative form. One proceeds by constructing a model of the preplay negotiation so that the steps of negotiation become moves in a larger non-cooperative game [which will have an infinity of pure strategies] describing the total situation. This larger game is then treated in terms of the theory of this paper [extended to infinite games] and if values are obtained they are taken as the values of the cooperative game. Thus the problem of analyzing a cooperative game becomes the problem of obtaining a suitable, and convincing, non-cooperative model for the negotiation.
The writer has, by such a treatment, obtained values for all finite two-person cooperative games, and some special n-person games.

Mahatma Gandhi photo

“Non-cooperation with evil is as much a duty as is cooperation with good.”

Mahatma Gandhi (1869–1948) pre-eminent leader of Indian nationalism during British-ruled India

Written statement https://babel.hathitrust.org/cgi/pt?id=mdp.39015027778375;view=1up;seq=43 in trial for sedition, March 1922
1920s

John Nash photo

“Of course, one cannot represent all possible bargaining devices as moves in the non-cooperative game.”

John Nash (1928–2015) American mathematician and Nobel Prize laureate

"Non-cooperative Games" in Annals of Mathematics, Vol. 54, No. 2 (September 1951)<!-- ; as cited in Can and should the Nash program be looked at as a part of mechanism theory? (2003) by Walter Trockel -->
1950s
Context: We give two independent derivations of our solution of the two-person cooperative game. In the first, the cooperative game is reduced to a non-cooperative game. To do this, one makes the players’ steps of negotiation in the cooperative game become moves in the noncooperative model. Of course, one cannot represent all possible bargaining devices as moves in the non-cooperative game. The negotiation process must be formalized and restricted, but in such a way that each participant is still able to utilize all the essential strengths of his position. The second approach is by the axiomatic method. One states as axioms several properties that it would seem natural for the solution to have and then one discovers that the axioms actually determine the solution uniquely. The two approaches to the problem, via the negotiation model or via the axioms, are complementary; each helps to justify and clarify the other.

Martin Luther King, Jr. photo

“But that too isn’t the way because non-cooperation with evil is as much a moral obligation as is cooperation with good.”

Martin Luther King, Jr. (1929–1968) American clergyman, activist, and leader in the American Civil Rights Movement

1950s, Loving Your Enemies (November 1957)
Source: The Autobiography of Martin Luther King, Jr.
Context: Another way is to acquiesce and to give in, to resign yourself to the oppression. Some people do that. They discover the difficulties of the wilderness moving into the promised land, and they would rather go back to the despots of Egypt because it’s difficult to get in the promised land. And so they resign themselves to the fate of oppression; they somehow acquiesce to this thing. But that too isn’t the way because non-cooperation with evil is as much a moral obligation as is cooperation with good.

Bounnhang Vorachit photo

“Cooperation for development has now become the major trend of our contemporary world. We have clearly witnessed that diverse forms and scope of cooperation have taken place within and among the regions thus providing a strong boost to the world economic growth.”

Bounnhang Vorachit (1937) former General Secretary of the Lao People's Revolutionary Party (2016-2021)

"Keynote Address by H.E. Mr. Bounnhang Vorachith Prime Minister of the Lao People’s Democratic Republic" https://asean.org/keynote-address-by-h-e-mr-bounnhang-vorachith-prime-minister-of-the-lao-peoples-democratic-republic-2/ (26 July 2005)

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“The highest and best form of efficiency is the spontaneous cooperation of a free people.”

Woodrow Wilson (1856–1924) American politician, 28th president of the United States (in office from 1913 to 1921)

As quoted in American Industry at War : A Report of the War Industries Board (March 1921) by Bernard Baruch
1920s and later

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