Table of Contents

Cover Image

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