**Anneli Lax New Mathematical Library**

Volume: 28;
2006;
174 pp;
Hardcover

**Print ISBN: 978-0-88385-646-8
Product Code: NML/28**

List Price: $51.00

AMS Member Price: $38.25

MAA Member Price: $38.25

**Electronic ISBN: 978-0-88385-943-8
Product Code: NML/28.E**

List Price: $51.00

AMS Member Price: $38.25

MAA Member Price: $38.25

# The Mathematics of Games and Gambling: Second Edition

Share this page
*Edward Packel*

MAA Press: An Imprint of the American Mathematical Society

Recipient of the Mathematical Association of America's
Beckenbach Book Prize in 1986!

The first edition of this book was reprinted
eight times.

This book introduces and develops some of the important
and beautiful elementary mathematics needed for rational analysis of
various gambling and game activities. Most of the standard casino
games (roulette, blackjack, keno), some social games (backgammon,
poker, bridge) and various other activities (state lotteries, horse
racing, etc.) are treated in ways that bring out their mathematical
aspects. The mathematics developed ranges from the predictable
concepts of probability, expectation, and binomial coefficients to
some less well-known ideas of elementary game theory.

The second edition includes new material on: sports betting and the
mathematics behind it; Game theory applied to bluffing in poker and
related to the Texas Holdem phenomenon; The Nash equilibrium concept
and its emergence in the popular culture; Internet links to games and
to Java applets for practice and classroom use.

The only formal mathematics background the reader needs is some
facility with high school algebra. Game-related exercises are included
at the end of most chapters for readers interested in working with and
expanding ideas treated in the text. Solutions to some of the
exercises appear at the end of the book.

# Table of Contents

## The Mathematics of Games and Gambling: Second Edition

- cover cover11
- title page iii4
- Contents vii8
- Preface to the First Edition ix10
- Preface to the Second Edition xiii14
- 1 The Phenomenon of Gambling 116
- 2 Finite Probabilities and Great Expectations 1328
- 3 Backgammon and Other Dice Diversions 2944
- 4 Permutations, Combinations, and Applications 5166
- 5 Play it Again Sam: The Binomial Distribution 7994
- 6 Elementary Game Theory 99114
- 6.1 What is game theory? 99114
- 6.2 Games in extensive form 100115
- 6.3 Two-person games in normal form 105120
- 6.4 Zero-sum games 107122
- 6.5 Nonzero-sum games, Nash equilibria and the prisoners’ dilemma 113128
- 6.6 Simple n-person games 118133
- 6.7 Power indices 120135
- 6.8 Games computers play 123138
- 6.9 Exercises 129144

- 7 Odds and Ends 135150
- Answers/Hints for Selected Exercises 165180
- Bibliography 167182
- Index 171186
- About the Author 175190