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Packel E. — The Mathematics of Games and Gambling
Packel E. — The Mathematics of Games and Gambling



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Название: The Mathematics of Games and Gambling

Автор: Packel E.

Аннотация:

This book shows you what determines the best bet in a game of chance or the optimal strategy in a strategic game.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1981

Количество страниц: 141

Добавлена в каталог: 31.10.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
(AI)      107
Arms race      101
artificial intelligence      107
Astragalus, I      3
Atlantic City      85
Backgammon      3 25 27 30 44 51 64
Banzhaf, J. F.      105 114 115 137
Baseball, batting order      47
Baseball, team      64
Bearing off      27 32
Berliner, H.      137
Bernoulli, J.      3 136
betting systems      78
Bingo      3 62 66
Binomial coefficients      71
Binomial distribution      67 68 73 83 84
Binomial theorem      70
Blackjack      81 82 83 85 122 133 134
Blots      27 30 31 44 45
Bluff      55 57
Bookmaker      133
Breakage      119
Bridge      3 15 47 58 59 64
Bridge, duplicate      65
CALL      55 57
Cancellation systems      79 80 84
Cardano, G.      2 6 7 136
cards      2 3 15
casino      66
Characteristic function form      87 102
Checkers      3 51 111
Chess      3 30 51 109 111
Choosing with replacement      49
Choosing without replacement      49
Chuck-a-Luck      3 42 44 46 51 64
Coalitions      102
Coalitions, minimal winning      104 114
Coalitions, winning      103
Combination      47 49 50 63
Complementary probabilities      71
Complete information      92
Computers      107 111
Computers, digital      107
Coulson, J.      8
Craps      3 38 39 41 42 43 45 51 64 68 133
Craps, casino      39 68
Craps, street      38 39
Crawford, F      27 34 136
David, F. N.      2 136
de Mere, C      12 24
Dealing without replacement      81
Deegan, J.      105 115 137
Dice      14
Difference equation      130
Disjoint events      19 22
Distnbution, binomial      67 83 84
Distnbution, normal      73
Dominated strategies      95 97 101
Dostoyevsky, F.      8 9 67 83 136
double      34 37
Doubling      35
Doubling, cube      3 27 33 38 45
Drawn without replacements      15
Drop      55 57
Duplicate bridge      65
Epstein, R. A.      137
Events, disjoint      19 22
Events, elementary      16 44
Expectation      20 21 22 23
Expectation, mathematical      20 22
Experiment      19
Exponential functions      73
Extensive form      87 89
Factorial      49
Fair game      22 46 131 133
Fermat, P.      2 12
Field      45
Finesse      59 60 61 62
flush      15
Frequency charts      72
Gambler, casual      4
Gambler, compulsive      5
Gambler, professional      5
Gamblers Anonymous      5
Gambler’s ruin      128 129 134
Game, bid      65
Game, fair      22 46 131 133
Game, of Nonsense      88 92 99
Game, theory      2 3 86
Game, tree      88 89 91 107 108 109 115
Games, 2-person      86 92
Games, against nature      86
Games, cooperative      102
Games, n-person      86
Games, nonzero-sum      87 99
Games, of perfect information      90
Games, simple      102 103 114
Games, simple, n-person      102
Games, theory of      2 3 86
Games, zero-sum      87 93 112 113
Geometric progression      131
Go      3 51
Heuristics      111
HEXPAWN      107 108 111 115
Histograms      72
Hole in the show pool      121
Horse, race      3 47 62
Horse, racing      116 122
House, edge      40 43 64 119
House, odds      19
Huygens, C.      2 136
Illinois Lottery News      127
Improper simple game      114
Independent      12 19 68
Independent, events      13 15
Independent, experiments      19
Independent, trials      68
Information set      90 113
Inside straight      25
Insurance      82 85
Jacoby, O.      27 34 62 136
Keeler, J      35 137
Kemeny, J. G      137
Keno      3 62 63 64 66 84 122
Las Vegas      62 79
Law of Averages      71 76
Leibniz, G      2
Life insurance      3
Linear programming      99
Lotteries      3 122
Lotteries, state      122
Lotteries, state, Illinois      122 128
LUCKY STARS      125 127
Magriel, P.      137
Majority game      103
Martingale, strategy      78
Martingale, system      84
Matching pennies      89
Maximin, principle      97 113
Maximin, strategy      96 113
Minimal winning coalitions      104 114
Minimal winning coalitions, MWC      104 114
Model      55 57
Morgenstern, O.      3 86 136
Morning line      116 117
n-person games      86
n-person games, simple      102
Natural      38
Niven, I.      70 136
Nonsense, game of      88 92 99
Nonzero-sum games      87 99
Normal approximation      72 83 84
Normal distribution      73
Normal form      87 92 93 112 113
Numbers racket      4
Odds      16
Odds, against      16 17 117
Odds, for      16
Odds, free      40 42 43
Odds, house      19
Optimal strategy      89
Ore, O      6 136
Packel, E      115 137
Pari-mutuel betting      116
Pascal, B.      2 12 23 136
Pascal, B., triangle      70 71
Pascal, B., wager      23
PASS      38
Pass, don’t      38
Payoff      87 92
Permutation      47 49 50
Phifer, K.G.      137
Phillies      70
Pivot      115
Place      116
Place, pool      119
Point      38
Poker      3 15 51 52 53 55 58 64
Poker, draw      52
Poker, stud      52
Pools      116 119
Pools, place      119
Pools, show      119
POT OF GOLD      123 124 125
Power      87 114
Power, index      104 105
President      107
Prisoners’ dilemma      99 101
probability      16
Probability, complementary      71
Probability, rules      20
Problem of points      13 24
Proper simple game      114
Race track      76
raise      55 57
Randomizer      1 3
Rapoport.A.      137
Redouble      37
Reduced form      96
Reese, T      137
Reinforcement schemes      5
Repeated plays      67 102
Resorts International Casino      85
Revere, L.      82
Roulette      8 9 21 23 25 51 64 72 79 83 84 133
Roulette wheel      3 5 17 51
Roulette wheel, European      25 67 83
Roulette wheel, Las Vegas      72
Roulette, Las Vegas      72
Saddle point      96 99 114
Scarne, J.      137
Shames, L.      137
Shapley, L      105 114 115 137
Show      116
Show, pool      119
Show, pool, hole in the show pool      121
Shubik, M.      105 114 115 137
Side payment      100
Simple game      102 103 114
Simple game, improper      114
Simple game, proper      114
Singleton, R.      137
Slam bidding      65
Slam bidding, grand slam      65
Slam bidding, small slam      65
Slot machine      5 25 76
Snell, J.L.      137
Spencer, S.      35 137
St.Petersburg paradox      26
Standard die      3
Standard normal curve      73
Steiner, G.      137
Strategy      78 89 112
Strategy, dominated      95 97 101 113
Strategy, Martingale      78
Strategy, maximin      96
Strategy, mixed      97 99 113 114
Strategy, optimal      89 107
Strategy, optimal pure      96
Strategy, pure      96 97 113 114
Suit distribution      58 59
Surrender      85
Swing      115
systems      83
Systems, blackjack      83
Systems, cancellation      79 80 84
Systems, Martingale doubling      84
Theory of games      2 3 86
Thorp, E.O.      82 136
Tic Tac Toe      90 111 112
Totalizator      116
TREE      107
Twenty-one      81
Two-person games      86 92
Tyndall, W.      137
United Nations Security Council      103
United States Congress      106
utilities      87 92
Value      104
von Neumann, J.      3 86 107 136
voting      87
Weighted voting game      103 114
Weights      103
Win      116
Yankees      70
Zero-sum game      87 93 112 113
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