The Game's Afoot!: Game Theory in Myth and Paradox (Google eBook)

Front Cover
American Mathematical Soc., 2000 - Mathematics - 159 pages
2 Reviews
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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Review: The Game's Afoot! Game Theory in Myth and Paradox (Student Mathematical Library, #5)

User Review  - Ilya - Goodreads

A popular introduction to game theory, as good as William Poundstone's Prisoner's Dilemma, written in the spirit of Martin Gardner and Raymond Smullyan. The author is Austrian, and one of his examples ... Read full review

Contents

The Glass Bead Game
1
Games Formulas and Scholars
7
Equilibrium and Game as Metaphor
23
In the Forest of Game Trees
41
Games Against Time
63
The Myths of Game Theory
79
The Prisoners Dilemma
83
Paradoxes of Backward Induction
101
Strategic Accents of GameTheoretic Scholasticism
119
Odysseus Goes to War
131
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Page 7 - From time to time we take our pen in hand And scribble symbols on a blank white sheet Their meaning is at everyone's command; It is a game whose rules are nice and neat. But if a savage or a moon-man came And found a page, a furrowed runic field, And curiously studied lines and frame: How strange would be the world that they revealed. A magic gallery of oddities. He would see A and B as man and beast, As moving tongues...

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