The Game's Afoot!: Game Theory in Myth and Paradox

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Brand new. We distribute directly for the publisher. It all started with von Neumann and Morgenstern half a century ago. Their Theory of Games and Economic Behavior gave birth ... to a whole new area of mathematics concerned with the formal problems of rational decision as experienced by multiple agents. Now, game theory is all around us, making its way even into regular conversations. In the present book, Mehlmann presents mathematical foundations and concepts illustrated via social quandaries, mock political battles, evolutionary confrontations, economic struggles, and literary conflict. Most of the standard models--the prisoners' dilemma, the arms race, evolution, duels, the game of chicken, etc.--are here. Many non-standard examples are also here: the Legend of Faust, shootouts in the movies, the Madness of Odysseus, to name a few.The author uses familiar formulas, fables, and paradoxes to guide readers through what he calls the "hall of mirrors of strategic decision-making". His light-hearted excursion into the world of strategic calculation shows that even deep insights into the nature of strategic thought can be elucidated by games, puzzles, and diversions.Originally written in German and published by Vieweg-Verlag, this AMS edition is a translation tailored for the English-speaking reader. It offers an intriguing look at myths and paradoxes through the lens of game theory, bringing the mathematics into sharper focus at the same time. This book is a must for those who wish to consider game theory from a different perspective: one that embraces science, literature, and real-life conflict.The Game's Afoot! would make an excellent book for an undergraduate course in game theory. It can also be used for independent study or as supplementary course reading. The connections to literature, films and everyday life also make it highly suitable as a text for a challenging course for non-majors. Its refreshing style and amusing combination of game theoretic analysis and cultural issues even make it appealing as recreat Read more Show Less

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Overview

It all started with von Neumann and Morgenstern half a century ago. Their Theory of Games and Economic Behavior gave birth to a whole new area of mathematics concerned with the formal problems of rational decision as experienced by multiple agents. Now, game theory is all around us, making its way even into regular conversations. In the present book, Mehlmann presents mathematical foundations and concepts illustrated via social quandaries, mock political battles, evolutionary confrontations, economic struggles, and literary conflict. Most of the standard models—the prisoners' dilemma, the arms race, evolution, duels, the game of chicken, etc.—are here. Many non-standard examples are also here: the Legend of Faust, shootouts in the movies, the Madness of Odysseus, to name a few. The author uses familiar formulas, fables, and paradoxes to guide readers through what he calls the ''hall of mirrors of strategic decision-making''. His light-hearted excursion into the world of strategic calculation shows that even deep insights into the nature of strategic thought can be elucidated by games, puzzles, and diversions. Originally written in German and published by Vieweg-Verlag, this AMS edition is a translation tailored for the English-speaking reader. It offers an intriguing look at myths and paradoxes through the lens of game theory, bringing the mathematics into sharper focus at the same time. This book is a must for those who wish to consider game theory from a different perspective: one that embraces science, literature, and real-life conflict. The Game's Afoot! would make an excellent book for an undergraduate course in game theory. It can also be used for independent study or as supplementary course reading. The connections to literature, films and everyday life also make it highly suitable as a text for a challenging course for non-majors. Its refreshing style and amusing combination of game theoretic analysis and cultural issues even make it appealing as recreational reading.

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Editorial Reviews

Booknews
Mehlmann eases readers unfamiliar with game theory into it through examples and applications from literature and mythology, and demonstrates to mathematics students who have studied it how it can function outside its usual realms of economics, social sciences, and biology. The original was published by Friedr Viewng & Sohn in 1997. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780821821213
  • Publisher: American Mathematical Society
  • Publication date: 4/1/2000
  • Language: German
  • Series: Student Mathematical Library , #5
  • Edition description: New Edition
  • Pages: 159

Table of Contents

Foreword
Acknowledgments
List of Figures
Pt. I The Glass Bead Game
Ch. 1 Games, Form(ula)s, and Scholars 7
Ch. 2 Equilibrium and Game as Metaphor 23
Ch. 3 In the Forest of Game Trees 43
Ch. 4 Games Against Time 63
Pt. II The Myths of Game Theory
Ch. 5 The Prisoner's Dilemma 83
Ch. 6 Paradoxes of Backward Induction 101
Ch. 7 Strategic Accents of Game-Theoretic Scholasticism 119
Ch. 8 Odysseus Goes to War 131
A Postlude in Rhyme 143
Appendix: Games in the Network of Networks 147
References 151
Index 157
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