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Luck, logic, and white lies: the mathematics of games
Author
Publisher
A.K. Peters
Publication Date
c2005
Language
English
Description
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Table of Contents
From the Book
Games of chance
Dice and probability
Waiting for a double 6
Tips on playing the lottery: more equal than equal?
A fair division: but how?
The red and the black: the law of large numbers
Asymmetric dice: are they worth anything?
Probability and geometry
Chance and mathematical certainty: are they reconcilable?
In quest of the equiprobable
Winning the game: probability and value
Which die is best?
A die is tested
The normal distribution: a race to the finish!
And not only at roulette: the poisson distribution
When formulas become too complex: the Monte Carlo method
Markov chains and the game monopoly
Blackjack: a Las Vegas fairy tale
Combinatorial games
Which move is best?
Chances of winning and symmetry
A game for three
Nim: the easy winner!
Lasker nim: winning along a secret path
Black-and-white nim: to each his (or her) own
A game with dominoes: have we run out of space yet?
Go: a classical game with a modern theory
Misère games: loser wins!
The computer as game partner
Can winning prospects always be determined?
Games and complexity: when calculations take too long
A good memory and luck: and northing else?
Backgammon: to double or not to double?
Mastermind: playing it safe
Strategic games
Rock-paper-scissors: the enemy's unknown plan
Minimax versus psychology: even in poker?
Bluffing in poker: can it be done without psychology?
Symmetric games: disadvantages are avoidable, but how?
Minimax and linear optimization: as simple as can be
Play it again, Sam: does experience make us wiser?
Le her: should I exchange?
Deciding at random: but how?
Optimal play: planning efficiently
Baccarat: draw from a five?
Three-person poker: is it a matter of trust?
QUAAK! Child's play?
Mastermind: color codes and minimax.
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ISBN
9781568812106
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