Table of contents : Cover Half Title Title Page Copyright Page Table of Contents Foreword Preface Part I: Games of Chance 1 Dice and Probability 2 Waiting for a Double 6 3 Tips on Playing the Lottery: More Equal than Equal? 4 A Fair Division: But How? 5 The Red and the Black: The Law of Large Numbers 6 Asymmetric Dice: Are They Worth Anything? 7 Probability and Geometry 8 Chance and Mathematical Certainty: Are They Reconcilable? 9 In Quest of the Equiprobable 10 Winning the Game: Probability and Value 11 Which Die Is Best? 12 A Die Is Tested 13 The Normal Distribution: A Race to the Finish! 14 And Not Only at Roulette: The Poisson Distribution 15 When Formulas Become Too Complex: The Monte Carlo Method 16 Markov Chains and the Game Monopoly 17 Blackjack: A Las Vegas Fairy Tale Part II: Combinatorial Games 18 Which Move Is Best? 19 Chances of Winning and Symmetry 20 A Game for Three 21 Nim: The Easy Winner! 22 Lasker Nim: Winning along a Secret Path 23 Black-and-White Nim: To Each His (or Her) Own 24 A Game with Dominoes: Have We Run Out of Space Yet? 25 Go: A Classical Game with a Modern Theory 26 Misère Games: Loser Wins! 27 The Computer as Game Partner 28 Can Winning Prospects Always Be Determined? 29 Games and Complexity: When Calculations Take Too Long 30 A Good Memory and Luck: And Nothing Else? 31 Backgammon: To Double or Not to Double? 32 Mastermind: Playing It Safe Part III: Strategic Games 33 Rock–Paper–Scissors: The Enemy’s Unknown Plan 34 Minimax versus Psychology: Even in Poker? 35 Bluffing in Poker: Can It Be Done without Psychology? 36 Symmetric Games: Disadvantages Are Avoidable, but How? 37 Minimax and Linear Optimization: As Simple as Can Be 38 Play It Again, Sam: Does Experience Make Us Wiser? 39 Le Her: Should I Exchange? 40 Deciding at Random: But How? 41 Optimal Play: Planning Efficiently 42 Baccarat: Draw from a Five? 43 Three-Person Poker: Is It a Matter of Trust? 44 QUAAK! Child’s Play? 45 Mastermind: Color Codes and Minimax 46 A Car, Two Goats-and a Quizmaster Part IV: Epilogue: Chance, Skill, and Symmetry 47 A Player’s Influence and Its Limits 48 Games of Chance and Games of Skill 49 In Quest of a Measure 50 Measuring the Proportion of Skill 51 Poker: The Hotly Debated Issue Index Citation preview
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