“As a graduate student I studied mathematics fairly broadly and I was fortunate enough, besides developing the idea which led to "Non-Cooperative Games," also to make a nice discovery relating to manifolds and real algebraic varieties. So I was prepared actually for the possibility that the game theory work would not be regarded as acceptable as a thesis in the mathematics department and then that I could realize the objective of a Ph. D. thesis with the other results.”
Autobiographical essay (1994)
Help us to complete the source, original and additional information
John Nash23
American mathematician and Nobel Prize laureate 1928–2015Related quotes
O. Timothy O'Meara (1928–2018) American mathematician
[The Idea of a Catholic University: A Personal Perspective, Marquette Law Review, Winter 1995: Symposium on Religiously Affiliated Law Schools, 78, 2, 389–396, http://scholarship.law.marquette.edu/cgi/viewcontent.cgi?article=1579&context=mulr]
Nicholas Murray Butler (1862–1947) American philosopher, diplomat, and educator
Editor's Introduction, The Teaching of Elementary Mathematics https://books.google.com/books?id=NKoAAAAAMAAJ (1906) by David Eugene Smith
David Eugene Smith (1860–1944) American mathematician
David Eugene Smith, "Editor's Introduction," in: The Teaching of Elementary Mathematics https://books.google.com/books?id=NKoAAAAAMAAJ (1906)
John Harsanyi (1920–2000) hungarian economist
"John C. Harsanyi - Biographical," 1994
“The universe,” says Wyvern, “is a Ph. D. thesis that God was unable to successfully defend.”
James K. Morrow book Only Begotten Daughter
Source: Only Begotten Daughter (1990), Chapter 13 (p. 221)
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.
Carl Friedrich Gauss (1777–1855) German mathematician and physical scientist
The World of Mathematics (1956) Edited by J. R. Newman