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The theory of gambling and statistical logic. 2nd revised ed. (English) Zbl 1251.91015
Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-397857-8/hbk). xiii, 451 p. (2013).
Publisher’s description: Early in his rise to enlightenment, man invented a concept that has since been variously viewed as a vice, a crime, a business, a pleasure, a type of magic, a disease, a folly, a weakness, a form of sexual substitution, an expression of the human instinct. He invented gambling.
Recent advances in the field, particularly Parrondo’s paradox, have triggered a surge of interest in the statistical and mathematical theory behind gambling. This interest was acknowledge in the motion picture, “21,” inspired by the true story of the MIT students who mastered the art of card counting to reap millions from the Vegas casinos.
Richard Epstein’s classic book on gambling and its mathematical analysis covers the full range of games from penny matching to blackjack, from Tic-Tac-Toe to the stock market (including Edward Thorp’s warrant-hedging analysis). He even considers whether statistical inference can shed light on the study of paranormal phenomena. Epstein is witty and insightful, a pleasure to dip into and read and rewarding to study. The book is written at a fairly sophisticated mathematical level; this is not ”Gambling for Dummies” or ”How To Beat The Odds Without Really Trying.” A background in upper-level undergraduate mathematics is helpful for understanding this work.
See the reviews of the previous editions (1967; Zbl 0158.17202); (1995; Zbl 0853.90144); (2009; Zbl 1184.91059).
91A60 Probabilistic games; gambling
91-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to game theory, economics, and finance