"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."
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Mathematicians from the United StatesAtheistsGame theoristsNobel laureates in EconomicsPeople from West Virginia
Original Language: English
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"Non-cooperative Games" in Annals of Mathematics, Vol. 54, No. 2 (September 1951)
https://en.wikiquote.org/wiki/John_Forbes_Nash%2C_Jr.
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John Forbes Nash, Jr.
John Forbes Nash, Jr. (June 13, 1928 — May 23, 2015) was an American mathematician, who shared the 1994 Nobel Memorial Prize in Economic Sciences with game theorists Reinhard Selten and John Harsanyi. His works in game theory, , and have provided insight into the factors that govern chance and events inside complex systems in daily life. His theories are used in market economics,
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