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The essential John Nash / Harold W. Kuhn and Sylvia Nasar

Auteur principal : Nash, John Forbes, 1928-2015, AuteurAuteur secondaire : Nasar, Sylvia, Editeur scientifique • Kuhn, Harold William, 1925-2014, Editeur scientifiqueType de document : MonographieLangue : anglais.Pays : Etats Unis.Éditeur : Princeton : Princeton University Press, 2002Description : 1 vol. (XXV-244 p.) : ill., portr. en front., portr., jaquette ill. ; 24 cmISBN : 0691095272.Bibliographie : Bibliogr. p. 243. Notes bibliogr. en fin de chapitres.Sujet MSC : 01A75, History and biography -- History of mathematics and mathematicians, Collected or selected works; reprintings or translations of classics
01A60, History and biography -- History of mathematics and mathematicians, 20th century
91-03, Game theory, economics, social and behavioral sciences, Historical
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Salle R
01A75 NAS (Browse shelf) Available 03364-01

The book consists of 12 chapters. The first three, as well as the preface (by Harold W. Kuhn) and introduction (by Sylvia Nasar) give some information about J. F. Nash. The remaining nine contain the most important papers by J. F. Nash and chapter 2 is the autobiography by J. F. Nash and chapter 3, written by J. Milnor, is the description of Hex – the game invented independently by Piet Hein in Denmark and by J. F. Nash in USA. Chapter 4 contains the paper “The Bargaining problem”. The author states some axioms and explains what he means by the solution of this problem and how to obtain it. The three subsequent chapters are devoted to the three different proofs of the existence of Nash equilibria in non-cooperative games. The first one “Equilibrium points in n-person games” is an article originally published in Proc. Natl. Acad. Sci. USA 36, 48–49 (1950; Zbl 0036.01104) containing the proof based on Kakutani's fixed point theorem. (Zentralblatt)

Bibliogr. p. 243. Notes bibliogr. en fin de chapitres

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