The game's afoot! : game theory in myth and paradox / Alexander Mehlmann ; translated by David Kramer.

Format:

Book

Author/Creator:

Mehlmann, Alexander.

Series:

Student mathematical library 1520-9121 ; v. 5.

Student mathematical library, 1520-9121 ; v. 5

Standardized Title:

Wer gewinnt das Spiel. English

Language:

English

German

Subjects (All):

Game theory.

Physical Description:

xx, 159 pages : illustrations ; 22 cm.

Place of Publication:

Providence, R.I. : American Mathematical Society, [2000]

Contents:

Part I. The Glass Bead Game

Chapter 1. Games, Form(ula)s, and Scholars 7

1.1. Scissors-Stone-Paper 8

1.2. A Game of Hackenbush 11

1.3. The Paladins of Game Theory 18

Chapter 2. Equilibrium and Game as Metaphor 23

2.1. The Arms Race Dilemma 25

2.2. Rebel Without a Cause 29

2.3. The Parable of the Deer Hunt 35

2.4. The Revenge of the Mutants 37

Chapter 3. In the Forest of Game Trees 41

3.1. The Strange Case of Lord Strange 42

3.2. A Game-Theoretic Bestiary 50

Chapter 4. Games Against Time 63

4.1. Duels and Other Affairs of Honor 64

4.2. The Curse of Irreversibility 69

4.3. Mephisto's Joust with Doctor Faust 72

Part II. The Myths of Game Theory

Chapter 5. The Prisoner's Dilemma 83

5.1. Variants That We Knew 83

5.2. The Tournament of the Automata 88

5.3. Foresighted Equilibria 92

5.4. Gridlock on the Internet 96

Chapter 6. Paradoxes of Backward Induction 101

6.1. The Market-Entry Game 102

6.2. The Chain-Store Paradox 104

6.3. The Centipede Game 107

6.4. The Bottle Imp Paradox 111

6.5. Rituals of Division 113

Chapter 7. Strategic Accents of Game-Theoretic Scholasticism 119

7.1. Seeing Through the Opponent 119

7.2. Common Knowledge 123

7.3. Going Against the Course of Events 127

Chapter 8. Odysseus Goes to War 131

8.1. The Madness of Odysseus 132

8.2. The Game-Theoretic Model 134

8.3. Behavioral-Strategic Analysis 136

A Postlude in Rhyme 143.

Notes:

Includes bibliographical references (pages 151-156) and index.

ISBN:

0821821210

OCLC:

43318220