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Applications aux jeux de hasard. Traité du calcul des probabilities et de ses applications, Tome IV, Applications diverse et conclusion, fascicule II. Rédigé par Jean Ville.

BOREL, Émile (1871-1956); VILLE, Jean (1910-1989):

Editorial: Paris: Gauthier-Villars, 1938., 1938
Condición: Very Good Encuadernación de tapa dura
Librería: Ted Kottler, Bookseller (Redondo Beach, CA, Estados Unidos de America)

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xi, 122 pp; ads. Buckram (original wrappers discarded). Ink stamp on title page. Else Very Good. 'The first elementary (non-topological) proof of the minimax theorem, using convexity arguments and the concept of a supporting hyperplane, is due to Jean Ville in a 1938 contribution [pp. 105-13] to Borel's Traité du calcul des probabilities et de ses applications. Ville (1938) also gave the first proof of the minimax theorem for the case of a continuum of possible pure strategies. The proof of the minimax theorem in von Neumann and Morgenstern [The Theory of Games and Economic Behavior 1944] is a non-topological one, based on the proof in Ville (1938). . .' (Dimand and Dimand, The History of Game Theory, Volume 1, p. 130). 'The portion on games of chance compiled by Ville from Borel's lectures (Tome IV, fascicule II) is notably easy to read and did not assume that probabilistic reasoning was well known even to mathematicians. Borel distinguished games of pure chance from 'psychological games' whose result depends on the ability or behaviour of the players. He predicted that methods stemming from psychological games would be useful in analyzing economic questions. Throughout the book, Borel and Ville stressed the importance of who has what information when' (ibid., pp. 133-34; also see pp. 134-38). N° de ref. de la librería 21504

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Título: Applications aux jeux de hasard. Traité du ...

Editorial: Paris: Gauthier-Villars, 1938.

Año de publicación: 1938

Encuadernación: Hardcover

Condición del libro:Very Good

Condición de la sobrecubierta: No Jacket

Edición: 1st Edition

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