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++von Neumann's Earliest publication on Game Theory ++ Von Neumann, J. (1928). "Sur la theoir des jeux", in Comptes Rendus, Paris, Gauthier-Villars, 1928, volume 186 II. Bound in a good, solid, library clothThe volume contains pp 1077-1961, 23 April to 25 June, 1928, and is complete in itself. There is no title page in vol 186 II, that being printed in 186 I this volume starts with the 23 April paper (#17). The binding is FINE and the text VERY GOOD; there are two library spine labels, plus two library rubber stamps on the back of the first page. Very tight binding. Nice copy. [++] This is a preliminary note (3pp) in the Comptes Rendus on game theory preceding the first edition of von Neumann's fundamental first paper on the subject. The CR paper by von Neumann is listed first chronologically to the major paper in the Mathematischen Annalen "Zur theorie der gesellschaftsspiele" vol 100, pp295-320, according to Tinne Hoff Kjeldsen in "John von Neumann's Conception of the Minimax Theorem: A Journey Through Different Mathematical Contexts" in Archive for History of Exact Sciences Vol. 56, No. 1 (November 2001).[++] …in the 1920s John von Neumann single-handedly invented game theory, introducing the general mathematical concept of 'strategy' in a paper on games of chance. This contained the proof of his famous 'minimax' theorem that says 'a strategy exists that guarantees, for each player, a maximum payoff assuming that the adversary acts so as to minimize that payoff . Jeremy Norman, Origins of Cyberspace, 953. [++] ["The Mathematische Annalen paper].presents some of his [von N] most fecund and influential work. It was Borel, in a note in the Comptes-Rendus in 1921, who first formulated a mathematical scheme describing strategies in a game between two players. The subject can, however, be dated as really originating in the paper of von Neumann. It is there that the fundamental "minimax" theorem is proved and the general scheme of a game between n players (n^2) is formulated. Such schemata, quite apart from their interest and applications to actual games in economics, etc. introduced a wealth of novel combinatorial problems of purely mathematical interest.--S. Ulam in his obituary for von Neumann in Biographical Memoirs. [++] "The name game theory , in the specific form of theorie des jeux seems to have been first used by Emil Borel in the 1920s. Then von Neumann used that name also when publishing in Comptes Rendus and providing the proof of the key minimax theorem that Borel had notably failed to prove."--IEEE Journal on Selected Areas in Communications ( Volume: 26, Issue: 7, September 2008) [++] *Note: 1928 was a very busy and productive year for von Neumann. His first published work is in 1922, followed by 11 more papers to 1927; in 1928 and 1929 (and 1932) he publishes 10 papers per year. **Note 2: von Neumann uses the word "jeux" ("game") in this paper, compared to "der gesellschaftsspiele", or "parlor game", in the Math. Annalen paper. ***Note 3: in the opening paragraph of this paper von Neumann references Borel's 1924 probability book and his 1927 CR paper, though not the earliest work in the CR for 1921.
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