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The Doctrine of Chances [electronic resource] : Probabilistic Aspects of Gambling / by Stewart N. Ethier.

By: Ethier, Stewart N [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Probability and its Applications: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Description: XIV, 816p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540787839.Subject(s): Mathematics | Distribution (Probability theory) | Mathematics | Probability Theory and Stochastic Processes | Game Theory, Economics, Social and Behav. SciencesDDC classification: 519.2 Online resources: Click here to access online
Contents:
Theory -- Review of Probability -- Conditional Expectation -- Martingales -- Markov Chains -- Game Theory -- House Advantage -- Gambler’s Ruin -- Betting Systems -- Bold Play -- Optimal Proportional Play -- Card Theory -- Applications -- Slot Machines -- Roulette -- Keno -- Craps -- House-Banked Poker -- Video Poker -- Faro -- Baccarat -- Trente et Quarante -- Twenty-One -- Poker.
In: Springer eBooksSummary: Three centuries ago Montmort and De Moivre published two of the first books on probability theory, then called the doctrine of chances, emphasizing its most important application at that time, games of chance. This volume, on the probabilistic aspects of gambling, is a modern version of those classics. While covering the classical material such as house advantage and gambler's ruin, it also takes up such 20th-century topics as martingales, Markov chains, game theory, bold play, and optimal proportional play. In addition there is extensive coverage of specific casino games such as roulette, craps, video poker, baccarat, and twenty-one. The volume addresses researchers and graduate students in probability theory, stochastic processes, game theory, operations research, statistics but it is also accessible to undergraduate students, who have had a course in probability.
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Theory -- Review of Probability -- Conditional Expectation -- Martingales -- Markov Chains -- Game Theory -- House Advantage -- Gambler’s Ruin -- Betting Systems -- Bold Play -- Optimal Proportional Play -- Card Theory -- Applications -- Slot Machines -- Roulette -- Keno -- Craps -- House-Banked Poker -- Video Poker -- Faro -- Baccarat -- Trente et Quarante -- Twenty-One -- Poker.

Three centuries ago Montmort and De Moivre published two of the first books on probability theory, then called the doctrine of chances, emphasizing its most important application at that time, games of chance. This volume, on the probabilistic aspects of gambling, is a modern version of those classics. While covering the classical material such as house advantage and gambler's ruin, it also takes up such 20th-century topics as martingales, Markov chains, game theory, bold play, and optimal proportional play. In addition there is extensive coverage of specific casino games such as roulette, craps, video poker, baccarat, and twenty-one. The volume addresses researchers and graduate students in probability theory, stochastic processes, game theory, operations research, statistics but it is also accessible to undergraduate students, who have had a course in probability.

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