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A Gentle Introduction to Game Theory (Mathematical World, Vol. 13)

3.0 out of 5 stars 2 customer reviews
ISBN-13: 978-0821813393
ISBN-10: 0821813390
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Editorial Reviews

Review

This book is an excellent introduction to the mathematical aspects of game theory for beginners without a background in calculus. --Journal of Mathematical Psychology

"Game theory, in the sense of von Neumann and Morgenstern, studies models of competition in situations of uncertainty. It provides a means for both deriving desirable strategies and explaining naturally occurring behavior; it finds applications ranging from economics and politics to evolutionary biology. All this and its intrinsic human interest (read here how it elucidates the outcome of the Cuban Missile Crisis) make it a favorite undergraduate topic, particularly for students majoring outside mathematics. There is not a faster read in the realm of higher mathematics. Recommended for college libraries. Undergraduates and up." ---- Choice
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Product Details

  • Series: Mathematical World (Book 13)
  • Paperback: 176 pages
  • Publisher: American Mathematical Society (December 4, 1998)
  • Language: English
  • ISBN-10: 0821813390
  • ISBN-13: 978-0821813393
  • Product Dimensions: 0.5 x 7.2 x 10.2 inches
  • Shipping Weight: 11.2 ounces (View shipping rates and policies)
  • Average Customer Review: 3.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #1,981,830 in Books (See Top 100 in Books)

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Format: Paperback
This book is an appropriate gift for a teenager with a taste for mathematics. Highly accessible, requiring some algebra, but not much more, the book introduces the deceptively simple mathematical subject of game theory. First of all, it indicates what is =meant= by a game -- something more akin to rock, paper, scissors, than monopoly or chess. Game theory (in a way like chaos theory) is seriously mis-named; the games played tend to be ones that are simple models of economic choice or political strategizing. This is why research in game theory has led to the Nobel Prize in Economics for more than one person.
In any case, I used this book as a resource in a discrete math class for teenaged students who were extremely interested in math. It was intended for non-math majors in college, but I think it would work very well as enrichment in the high school classroom (or even middle school -- one can use it in developing an application for algebra). After learning the rudiments of game theory, I thought to apply the concept to =The Weakest Link=, and found that, as a game, it is far more complicated than what you'll find in this book.
Still, this is just a starting point. There are plenty of avenues to explore beyond what is covered in here, but one can get bogged down with all the different types of situations that have been treated in game theory.
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Format: Paperback Verified Purchase
Lot of good exercises
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