Luck, logic, and white lies the mathematics of games

"Luck, Logic, and White Lies: The Mathematics of Games, Second Edition considers a specific problem-generally a game or game fragment and introduces the related mathematical methods. It contains a section on the historical development of the theories of games of chance, and combinatorial and st...

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1. Verfasser: Bewersdorff, Jörg 1958- (VerfasserIn)
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Sprache:English
German
Veröffentlicht: Boca Raton Chapman & Hall/CRC Press 2021
Ausgabe:Second edition
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Datensatz im Suchindex

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adam_text Contents Foreword ix Preface xi Part I Games of Chance I I Dice and Probability 3 2 Waiting for a Double 6 9 3 Tips on Playing the Lottery: More Equal than Equal? 13 4 A Fair Division: But How? 23 5 The Red and the Black: The Law of Large Numbers 27 6 Asymmetric Dice: Are They Worth Anything? 33 7 Probability and Geometry 37 8 Chance and Mathematical Certainty: Are They Reconcilable? 41 9 In Quest of the Equiprobable 51 10 Winning the Game: Probability and Value 57 II Which Die is Best? 67 12 A Die Is Tested 71 13 The Normal Distribution: A Race to the Finish! 77 14 And Not Only at Roulette: The Poisson Distribution 89 v v¡ Contents 15 When Formulas Become Too Complex: The Monte Carlo Method 93 16 Markov Chains and the Game Monopoly 105 17 Blackjack: A Las Vegas Fairy Tale 121 Part II 143 Combinatorial Games 18 Which Move Is Best? 145 19 Chances of Winning and Symmetry 157 20 A Game for Three 171 21 Nim: The Easy Winner! 177 22 Lasker Nim: Winning along a Secret Path 183 23 Black-and-White Nim: To Each His (or Her) Own 193 24 A Game with Dominoes: Have We Run Out of Space Yet? 209 25 Go: A Classical Game with a Modern Theory 225 26 Misère Games: Loser Wins! 253 27 The Computer as Game Partner 267 28 Can Winning Prospects Always Be Determined? 293 29 Games and Complexity: When Calculations Take Too Long 307 30 A Good Memory and Luck: And Nothing Else? 323 31 Backgammon: To Double or Not to Double? 331 32 Mastermind: Playing It Safe 347 Part III 355 Strategic Games 33 Rock-Paper-Scissors: The Enemy’s Unknown Plan 357 Contents vii 34 Minimax versus Psychology: Even in Poker? 367 35 Bluffing in Poker: Can It Be Done without Psychology? 375 36 Symmetric Games: Disadvantages Are Avoidable, but How? 381 37 Minimax and Linear Optimization: As Simple as Can Be 397 38 Play It Again, Sam: Does Experience Make Us Wiser? 405 39 Le Her: Should I Exchange? 413 40 Deciding at Random: But How? 421 41 Optimal Play: Planning Efficiently 431 42 Baccarat: Draw from a Five? 447 43 Three-Person Poker: Is It a Matter of Trust? 4SI 44 QUAAK! Child’s Play? 465 45 Mastermind: Color Codes and Minimax 475 46 A Car, Two Goats—and a Quizmaster 481 Part IV Epilogue: Chance, Skill, and Symmetry 495 47 A Player’s Influence and Its Limits 497 48 Games of Chance and Games of Skill 501 49 In Quest of a Measure 515 50 Measuring the Proportion of Skill 523 51 Poker: The Hotly Debated Issue 533 Index 543
adam_txt Contents Foreword ix Preface xi Part I Games of Chance I I Dice and Probability 3 2 Waiting for a Double 6 9 3 Tips on Playing the Lottery: More Equal than Equal? 13 4 A Fair Division: But How? 23 5 The Red and the Black: The Law of Large Numbers 27 6 Asymmetric Dice: Are They Worth Anything? 33 7 Probability and Geometry 37 8 Chance and Mathematical Certainty: Are They Reconcilable? 41 9 In Quest of the Equiprobable 51 10 Winning the Game: Probability and Value 57 II Which Die is Best? 67 12 A Die Is Tested 71 13 The Normal Distribution: A Race to the Finish! 77 14 And Not Only at Roulette: The Poisson Distribution 89 v v¡ Contents 15 When Formulas Become Too Complex: The Monte Carlo Method 93 16 Markov Chains and the Game Monopoly 105 17 Blackjack: A Las Vegas Fairy Tale 121 Part II 143 Combinatorial Games 18 Which Move Is Best? 145 19 Chances of Winning and Symmetry 157 20 A Game for Three 171 21 Nim: The Easy Winner! 177 22 Lasker Nim: Winning along a Secret Path 183 23 Black-and-White Nim: To Each His (or Her) Own 193 24 A Game with Dominoes: Have We Run Out of Space Yet? 209 25 Go: A Classical Game with a Modern Theory 225 26 Misère Games: Loser Wins! 253 27 The Computer as Game Partner 267 28 Can Winning Prospects Always Be Determined? 293 29 Games and Complexity: When Calculations Take Too Long 307 30 A Good Memory and Luck: And Nothing Else? 323 31 Backgammon: To Double or Not to Double? 331 32 Mastermind: Playing It Safe 347 Part III 355 Strategic Games 33 Rock-Paper-Scissors: The Enemy’s Unknown Plan 357 Contents vii 34 Minimax versus Psychology: Even in Poker? 367 35 Bluffing in Poker: Can It Be Done without Psychology? 375 36 Symmetric Games: Disadvantages Are Avoidable, but How? 381 37 Minimax and Linear Optimization: As Simple as Can Be 397 38 Play It Again, Sam: Does Experience Make Us Wiser? 405 39 Le Her: Should I Exchange? 413 40 Deciding at Random: But How? 421 41 Optimal Play: Planning Efficiently 431 42 Baccarat: Draw from a Five? 447 43 Three-Person Poker: Is It a Matter of Trust? 4SI 44 QUAAK! Child’s Play? 465 45 Mastermind: Color Codes and Minimax 475 46 A Car, Two Goats—and a Quizmaster 481 Part IV Epilogue: Chance, Skill, and Symmetry 495 47 A Player’s Influence and Its Limits 497 48 Games of Chance and Games of Skill 501 49 In Quest of a Measure 515 50 Measuring the Proportion of Skill 523 51 Poker: The Hotly Debated Issue 533 Index 543
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spelling Bewersdorff, Jörg 1958- Verfasser (DE-588)12862163X aut
Glück, Logik und Bluff
Luck, logic, and white lies the mathematics of games Jörg Bewersdorff ; translated by David Kramer
Second edition
Boca Raton Chapman & Hall/CRC Press 2021
XX, 548 Seiten Illustrationen, Diagramme
txt rdacontent
n rdamedia
nc rdacarrier
First published in German under the title "Glück, Logik und Bluff : Mathematik im Spiel - Methoden, Ergebnisse und Grenzen" by Jörg Bewersdorff, 7th edition, 2018
Includes bibliographical references and index
2104
"Luck, Logic, and White Lies: The Mathematics of Games, Second Edition considers a specific problem-generally a game or game fragment and introduces the related mathematical methods. It contains a section on the historical development of the theories of games of chance, and combinatorial and strategic games. This new edition features new and much refreshed chapters, including an all-new Part IV on the problem of how to measure skill in games. Readers are also introduced to new references and techniques developed since the previous edition. Features Provides a uniquely historical perspective on the mathematical underpinnings of a comprehensive list of games Suitable for a broad audience of differing mathematical levels. Anyone with a passion for games, game theory, and mathematics will enjoy this book, whether they be students, academics, or game enthusiasts Covers a wide selection of topics at a level that can be appreciated on a historical, recreational, and mathematical level. Jörg Bewersdorff (1958) studied mathematics from 1975 to 1982 at the University of Bonn and earned his PhD in 1985. In the same year, he started his career as game developer and mathematician. He served as the general manager of the subsidiaries of Gauselmann AG for more than two decades where he developed electronic gaming machines, automatic payment machines, and coin-operated Internet terminals. Dr. Bewersdorff has authored several books on Galois theory (translated in English and Korean), mathematical statistics, and object-oriented programming with JavaScript"--
Game theory
Kombinatorik (DE-588)4031824-2 gnd rswk-swf
Glücksspiel (DE-588)4021329-8 gnd rswk-swf
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Kombinatorik (DE-588)4031824-2 s
Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s
Spieltheorie (DE-588)4056243-8 s
DE-604
9781003092872
Erscheint auch als Online-Ausgabe Bewersdorff, Jörg Luck, logic, and white lies Boca Raton : AK Peters, 2021
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spellingShingle Bewersdorff, Jörg 1958-
Luck, logic, and white lies the mathematics of games
Game theory
Kombinatorik (DE-588)4031824-2 gnd
Glücksspiel (DE-588)4021329-8 gnd
Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd
Spieltheorie (DE-588)4056243-8 gnd
subject_GND (DE-588)4031824-2
(DE-588)4021329-8
(DE-588)4064324-4
(DE-588)4056243-8
title Luck, logic, and white lies the mathematics of games
title_alt Glück, Logik und Bluff
title_auth Luck, logic, and white lies the mathematics of games
title_exact_search Luck, logic, and white lies the mathematics of games
title_exact_search_txtP Luck, logic, and white lies the mathematics of games
title_full Luck, logic, and white lies the mathematics of games Jörg Bewersdorff ; translated by David Kramer
title_fullStr Luck, logic, and white lies the mathematics of games Jörg Bewersdorff ; translated by David Kramer
title_full_unstemmed Luck, logic, and white lies the mathematics of games Jörg Bewersdorff ; translated by David Kramer
title_short Luck, logic, and white lies
title_sort luck logic and white lies the mathematics of games
title_sub the mathematics of games
topic Game theory
Kombinatorik (DE-588)4031824-2 gnd
Glücksspiel (DE-588)4021329-8 gnd
Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd
Spieltheorie (DE-588)4056243-8 gnd
topic_facet Game theory
Kombinatorik
Glücksspiel
Wahrscheinlichkeitsrechnung
Spieltheorie
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