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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.
- Comprehensive and exciting analysis of all major casino games and variants
- Covers a wide range of interesting topics not covered in other books on the subject
- Depth and breadth of its material is unique compared to other books of this nature
Richard Epstein's website: www.gamblingtheory.net
Suitable for those interested in probability, statistics, or gambling and gamblers with an interest in theory and analysis and a basic understanding of undergraduate mathematics.
Chapter One. Kubeiagenesis
Chapter Two. Mathematical Preliminaries
The Meaning of Probability
The Calculus of Probability
Chapter Three. Fundamental Principles of a Theory of Gambling
Decision Making and Utility
The Basic Theorems
Chapter Four. Parrondo’s Principle
The Basic Principle
History-Dependent Parrondo Games
Quantum Parrondo Games
The Allison Mixture
Chapter Five. Coins, Wheels, and Oddments
Statistical Properties of Coins
The Two-Armed Bandit
Quantum Coin Tossing
Chapter Six. Coups and Games with Dice
A Brief Chronicle
Detection of Bias
Divers Dice Probabilities
Structured Dice Games
Chapter Seven. The Play of the Cards
Origins and Species
Randomness and Shuffling
Matching Problems (Rencontres)
Informal Card Games
Formal Card Games
Chapter Eight. Blackjack
Rules and Format
Shuffle Tracking (Ref. Hall)
Chapter Nine. Statistical Logic and Statistical Games
The Stock Market
Duels and Truels
Chapter Ten. Games of Pure Skill and Competitive Computers
Nim and Its Variations
Single-Pile Countdown Games
The Grundy Function; Kayles
Seemingly Simple Board Games
More Complex Games
Games Computers Play
The Shadow of Things to Come
Chapter Eleven. Fallacies and Sophistries
Psychology and Philosophy
- No. of pages:
- © Academic Press 2013
- 1st November 2012
- Academic Press
- eBook ISBN:
"This special edition remains the comprehensive unified mathematical treatment for a wide range of games of chance and skill. It includes the counter-intuitive Parrondo's paradox: a winning strategy can result from switching between losing games. An entertainment for all who read it, a text for innovative university courses, and a reference for those concerned with probability and game theory."--Edward O. Thorp, author of BEAT THE DEALER and BEAT THE MARKET
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