The mathematics of games and gambling /

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Packel, Edward W.
Format: Electronic eBook
Language:Inglés
Published: Washington, DC : Mathematical Association of America, ©2006.
Edition:2nd ed.
Series:Anneli Lax new mathematical library ; v. 28.
Subjects:
Games of chance (Mathematics)
Jeux de hasard (Mathématiques)
games of chance.
GAMES > Gambling > General.
MATHEMATICS > Game Theory.
Speltheorie.
Gokken.
Online Access:Texto completo
Table of Contents:
  • Preface to the first edition
  • Preface to the second edition
  • 1. The phenomenon of gambling
  • 1.1. A selective history
  • 1.2. The gambler in fact and fiction
  • 2. Finite probabilities and great expectations
  • 2.1. The probability concept and its origins
  • 2.2. Dice, cards, and probabilities
  • 2.3. Roulette, probability and odds
  • 2.4. Compound probabilities : the rules of the game
  • 2.5. Mathematical expectation and its application
  • 2.6. Exercises
  • 3. Backgammon and other dice diversions
  • 3.1. Backgammon oversimplified
  • 3.2. Rolling sports and hitting blots
  • 3.3. Entering and bearing off
  • 3.4. The doubling cube
  • 3.5. Craps
  • 3.6. Chuck-a-luck
  • 3.7. Exercises
  • 4. Permutations, combinations, and applications
  • 4.1. Careful counting : is order important?
  • 4.2. Factorials and other notation
  • 4.3. Probabilities in poker
  • 4.4. Betting in poker : a simple model
  • 4.5. Distributions in bridge
  • 4.6. Keno type games-- 47. Exercises
  • 5. Play it again Sam : the binomial distribution
  • 5.1. Games and repeated trials
  • 5.2. The binomial distribution
  • 5.3. Beating the odds and the "law" of averages
  • 5.4. Betting systems
  • 5.5. A brief blackjack breakthrough
  • 5.6. Exercises
  • 6. Elementary game theory
  • 6.1. Games in extensive form
  • 6.2. Two-person games in normal form
  • 6.3. Zero-sum games
  • 6.4. Nonzero-sum games, Nash equilibira and the prisoners' dilemma
  • 6.5. Simple n-person games
  • 6.6. Power indices
  • 6.7. Games computers play
  • 6.8. Exercises
  • 7. Odds and ends
  • 7.1. The mathematics of bluffing and the Texas holdem invasion
  • 7.2. Off to the races
  • 7.3. Lotteries and your expectation
  • 7.4. The gambler's ruin
  • Answers/hints for selected exercises
  • Bibliography
  • Index
  • About the author.

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