The Theory of Gambling and Statistical Logic by Epstein, Richard -- Read -- Imperial Library of Trantor

Index

Cover Image Table of Contents Title Copyright Dedication Preface Chapter One. Kubeiagenesis

Bibliography

Chapter Two. Mathematical Preliminaries

The Meaning of Probability The Calculus of Probability Statistics Game Theory Random Walks Quantum Games Bibliography

Chapter Three. Fundamental Principles of a Theory of Gambling

Decision Making and Utility Prospect Theory The Basic Theorems Bibliography

Chapter Four. Parrondo’s Principle

The Basic Principle Multiplayer Games History-Dependent Parrondo Games Quantum Parrondo Games Cooperative Games The Allison Mixture Bibliography

Chapter Five. Coins, Wheels, and Oddments

Biased Coins Statistical Properties of Coins Coin Matching Coin Games Heads–Tails Interplay The Two-Armed Bandit Nontransitive Sequences Quantum Coin Tossing Diverse Recreations Casino Games Public Games Puzzlements Bibliography

Chapter Six. Coups and Games with Dice

A Brief Chronicle Detection of Bias Divers Dice Probabilities Structured Dice Games Nontransitive Dice Sicherman’s Dice Casino Games Backgammon Dice Divertissements Bibliography

Chapter Seven. The Play of the Cards

Origins and Species Randomness and Shuffling Card Probabilities Matching Problems (Rencontres) Selected Sidelights Informal Card Games Formal Card Games Casino Games Card Conundra Bibliography

Chapter Eight. Blackjack

Memorabilia Rules and Format Assumptions Optimal Strategies Card Counting Shuffle Tracking (Ref. Hall) Side Bets Blackjack Variations Pooled Resources Bibliography

Chapter Nine. Statistical Logic and Statistical Games

Strategic Selection The Stock Market Horse Racing Duels and Truels Tournaments Random Tic-Tac-Toe Inquizition Bibliography

Chapter Ten. Games of Pure Skill and Competitive Computers

Definitions Tic-Tac-Toe 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 Board Bafflers Bibliography

Chapter Eleven. Fallacies and Sophistries

Psychology and Philosophy Fallacies Paranormal Phenomena Bibliography

Epilogue Appendix Index

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