Luck, Logic, and White Lies : The Mathematics of Games

Luck, Logic, and White Lies : The Mathematics of Games

  • ただいまウェブストアではご注文を受け付けておりません。 ⇒古書を探す
  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 486 p.
  • 言語 ENG
  • 商品コード 9781568812106
  • DDC分類 519.3

Full Description


This book considers a specific problem-generally a game or game fragment, and introduces the mathematical methods. It contains a section on the historical development of the theories of games of chance, and combinatorial and strategic games.

Table of Contents

Preface                                            ix
I Games of Chance 1 (134)
1 Dice and Probability 3 (5)
2 Waiting for a Double 6 8 (4)
3 Tips on Playing the Lottery: More Equal 12 (11)
Than Equal?
4 A Fair Division: But How? 23 (4)
5 The Red and the Black: The Law of Large 27 (6)
Numbers
6 Asymmetric Dice: Are They Worth Anything? 33 (4)
7 Probability and Geometry 37 (4)
8 Chance and Mathematical Certainty: Are 41 (10)
They Reconcilable?
9 In Quest of the Equiprobable 51 (6)
10 Winning the Game: Probability and Value 57 (10)
11 Which Die Is Best? 67 (3)
12 A Die Is Tested 70 (7)
13 The Normal Distribution: A Race to the 77 (13)
Finish!
14 And Not Only at Roulette: The Poisson 90 (4)
Distribution
15 When Formulas Become Too Complex: The 94 (12)
Monte Carlo Method
16 Markov Chains and the Game Monopoly 106(15)
17 Blackjack: A Las Vegas Fairy Tale 121(14)
II Combinatorial Games 135(218)
18 Which Move Is Best? 137(12)
19 Chances of Winning and Symmetry 149(13)
20 A Game for Three 162(7)
21 Nim: The Easy Winner! 169(5)
22 Lasker Nim: Winning Along a Secret Path 174(10)
23 Black-and-White Nim: To Each His (or Her) 184(17)
Own
24 A Game with Dominoes: Have We Run Out of 201(17)
Space Yet?
25 Go: A Classical Game with a Modern Theory 218(32)
26 Mis鑽e Games: Loser Wins! 250(12)
27 The Computer as Game Partner 262(24)
28 Can Winning Prospects Always Be Determined? 286(15)
29 Games and Complexity: When Calculations 301(17)
Take Too Long
30 A Good Memory and Luck: And Nothing Else? 318(8)
31 Backgammon: To Double or Not to Double? 326(18)
32 Mastermind. Playing It Safe 344(9)
III Strategic Games 353(128)
33 Rock-Paper-Scissors The Enemy s Unknown 355(10)
Plan
34 Minimax Versus Psychology: Even in Poker? 365(9)
35 Bluffing in Poker: Can It Be Done Without 374(6)
Psychology?
36 Symmetric Games: Disadvantages Are 380(17)
Avoidable, but How?
37 Minimax and Linear Optimization: As Simple 397(9)
as Can Be
38 Play It Again, Sam: Does Experience Make 406(6)
Us Wiser?
39 Le Her: Should I Exchange? 412(7)
40 Deciding at Random: But How? 419(10)
41 Optimal Play: Planning Efficiently 429(17)
42 Baccarat: Draw from a Five? 446(4)
43 Three-Person Poker: Is It a Matter of 450(15)
Trust?
44 QUAAK! Child's Play? 465(9)
45 Mastermind: Color Codes and Minimax 474(7)
Index 481