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Edward O. Thorp

 
Edward O. Thorp

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Edward O. Thorp



 
 
Dr. Edward Oakley Thorp (born August 14, 1932, Chicago
Chicago

Chicago is the largest city in the U.S. state of Illinois and the Midwestern United States, as well as the List of United States cities by population city in the United States with more than 2.8 million residents....
) is an American
United States

The United States of America is a Federal government constitutional republic comprising U.S. state and a federal district. The country is situated mostly in central North America, where its Contiguous United States and Washington, D.C., the Capital districts and territories, lie between the Pacific Ocean and Atlantic Oceans, Borders of the U...
 mathematics professor, author, hedge fund manager, and blackjack
Blackjack

Blackjack is the most widely played casino game banking game in the world. Much of blackjack's popularity is due to the mix of chance with elements of skill, and the publicity that surrounds card counting ....
 player. He is widely known as the author of the 1962 book Beat the Dealer, which was the first book to prove mathematically that blackjack could be beaten by card counting
Card counting

Card counting is a card game strategy used to determine when a player has a probability advantage. The term is used almost exclusively to refer to the tracking of the ratio of high cards to low cards in blackjack and its derivatives such as Spanish 21, although it is sometimes used to refer to obtaining a count of the distribution or remaini...
. The technique eliminated the advantage of the house, which had an estimated maximum of approximately 5% (when following strategies with the smallest possibility of winning, either mimicking the dealer or never busting), and instead gave the player an advantage of approximately 1%.






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Dr. Edward Oakley Thorp (born August 14, 1932, Chicago
Chicago

Chicago is the largest city in the U.S. state of Illinois and the Midwestern United States, as well as the List of United States cities by population city in the United States with more than 2.8 million residents....
) is an American
United States

The United States of America is a Federal government constitutional republic comprising U.S. state and a federal district. The country is situated mostly in central North America, where its Contiguous United States and Washington, D.C., the Capital districts and territories, lie between the Pacific Ocean and Atlantic Oceans, Borders of the U...
 mathematics professor, author, hedge fund manager, and blackjack
Blackjack

Blackjack is the most widely played casino game banking game in the world. Much of blackjack's popularity is due to the mix of chance with elements of skill, and the publicity that surrounds card counting ....
 player. He is widely known as the author of the 1962 book Beat the Dealer, which was the first book to prove mathematically that blackjack could be beaten by card counting
Card counting

Card counting is a card game strategy used to determine when a player has a probability advantage. The term is used almost exclusively to refer to the tracking of the ratio of high cards to low cards in blackjack and its derivatives such as Spanish 21, although it is sometimes used to refer to obtaining a count of the distribution or remaini...
. The technique eliminated the advantage of the house, which had an estimated maximum of approximately 5% (when following strategies with the smallest possibility of winning, either mimicking the dealer or never busting), and instead gave the player an advantage of approximately 1%. He is also regarded as the co-inventor of the first wearable computer
Wearable computer

Wearable computers are computers that are worn on the body. They have been applied to areas such as behavioral modeling, health monitoring systems, information technologies and media development....
 along with Claude Shannon.

Thorp received his Ph.D. from the University of California, Los Angeles
University of California, Los Angeles

The University of California, Los Angeles is a public research university located in Westwood, Los Angeles, California, California, United States....
 in 1958, and worked at M.I.T. from 1959 to 1961. He was a professor
Professor

The meaning of the word professor varies. In some English-speaking countries, it refers to a senior academic who holds a departmental chair, especially as head of the Academic department, or a personal chair awarded specifically to that individual....
 of mathematics from 1965 to 1977 and a professor of mathematics and finance from 1977 to 1982 at University of California, Irvine
University of California, Irvine

The University of California, Irvine is a public university coeducational research university founded in 1965, situated in Irvine, California....
.

Computer aided research in blackjack

Ed Thorp used the IBM 704
IBM 704

The IBM 704, the first mass-produced computer with floating point arithmetic hardware, was introduced by IBM in April, 1954. The 704 was significantly improved over the IBM 701 in terms of architecture as well as implementation, and was not compatible with its predecessor....
 as a research tool in order to investigate the probabilities of winning while developing his blackjack
Blackjack

Blackjack is the most widely played casino game banking game in the world. Much of blackjack's popularity is due to the mix of chance with elements of skill, and the publicity that surrounds card counting ....
 game theory, which was based on the Kelly criterion
Kelly criterion

In probability theory, the Kelly criterion, or Kelly strategy or Kelly formula, or Kelly bet, is a formula used to determine the optimal size of a series of bets....
 which he learned about from the 1956 paper by Kelly. He learned Fortran
Fortran

Fortran is a general-purpose programming language, procedural programming language, imperative programming language programming language that is especially suited to numerical analysis and scientific computing....
 in order to program the equations needed for his theoretical research model on the probabilities of winning at blackjack. Thorp analyzed the game of blackjack to a great extent this way, while devising card-counting schemes with the aid of IBM 704 in order to improve his odds, especially near the end of a card deck that is not being reshuffled after every deal. Thorp subsequently decided to test his theory in practice in Reno
Reno

Reno may refer to:...
, Lake Tahoe
Lake Tahoe

Lake Tahoe is a large Fresh water lake in the Sierra Nevada mountains of the United States. It is located along the border between California and Nevada, west of Carson City, Nevada....
 and Las Vegas
Las Vegas, Nevada

Las Vegas is the most populous city in the U.S. state of Nevada, the seat of Clark County, Nevada, and an internationally renowned major resort city for gambling, shopping, and entertainment....
.

Applied research in Reno, Lake Tahoe and Las Vegas

Thorp started his applied research using $10,000, with Manny Kimmel
Manny Kimmel

Manny Kimmel Born Emanuel Kimmel. Was a notable underworld figure between 1930's and 1960's. Founder of the Kinney Parking Company, a chain of parking lots and garages....
, a wealthy professional gambler and one-time illegal bookie with mob connections, providing the venture capital. First they visited Reno and Lake Tahoe establishments where they tested Thorp's theory at the local blackjack tables. The experimental results proved successful and his theory was verified since he won $11,000 in a single weekend. He could have won more during his initial foray in Las Vegas had his uncanny ability at winning not drawn the unwelcome attention of the casino security, which led to repeated expulsions from the various premises that he visited that night. Casinos now shuffle well before the end of the deck as a countermeasure to his methods. During his Las Vegas casino visits Thorp frequently used disguises such as wraparound glasses and false beards. In addition to the blackjack activities Thorp had assembled a baccarat
Baccarat

'Baccarat' is a casino game card game. It is believed to have been introduced into France from Italy during the reign of Charles VIII of France , and it is similar to Faro and to Basset....
 team which was also winning.

News quickly spread throughout the gambling community, which was eager for new methods of winning, while Thorp became an instant celebrity among blackjack aficionados. Due to the great demand generated about disseminating his research results to a wider gambling audience, he wrote the book Beat the Dealer in 1962, widely considered the original card counting manual
User guide

A user guide, also commonly known as a manual, is a technical communication document intended to give assistance to people using a particular system....
, which sold over 700,000 copies, a huge number for a specialty title which earned it a place in the New York Times bestseller list, much to the chagrin of Kimmel whose identity was thinly disguised in the book as Mr. X.

It is also worth noting that Thorp's blackjack research is one of the very few examples where results from such reached the public directly, completely bypassing the usual academic peer review
Peer review

Peer review is the process of subjecting an author's Scholarly method work, research, or ideas to the scrutiny of others who are experts in the same field....
 process cycle. Moreover, Thorp became one of the very few applied mathematicians
Applied mathematics

Applied mathematics is a branch of mathematics that concerns itself with the mathematical techniques typically used in the application of mathematical knowledge to other domains....
 who risked physical harm in verifying a computer simulation. He has also stated that he considered the whole experiment an academic exercise. This also marked the first time in the history of computing that a computer was used as a gambling aid.

In addition, Thorp, while a professor of mathematics at MIT, met Claude Shannon, and brought him and his wife Betty Shannon as partners on weekend forays to Las Vegas
Las Vegas Strip

The Las Vegas Strip is an approximately 4 mile stretch of Las Vegas Boulevard in Clark County, Nevada, Nevada, United States. A small portion of The Strip lies in Las Vegas, Nevada, but most of it is in the unincorporated area areas of Paradise, Nevada and Winchester, Nevada....
 to play roulette
Roulette

Roulette is a casino and gambling game named after the French language word meaning "small wheel". In the game, players may choose to place bets on either a number, a range of numbers, the color red or black, or whether the number is odd or even....
 and blackjack
Blackjack

Blackjack is the most widely played casino game banking game in the world. Much of blackjack's popularity is due to the mix of chance with elements of skill, and the publicity that surrounds card counting ....
, at which Thorp was very successful. His team's roulette play was the first instance of using a wearable computer in a casino — something which is now illegal. The wearable computer was co-developed with Claude Shannon between 1960-61. The final operating version of the device was tested in Shannon’s home lab at his basement in June 1961. His achievements have led him to become an inaugural member of the Blackjack Hall of Fame
Blackjack Hall of Fame

The Blackjack Hall of Fame honors the greatest blackjack experts, authors, and professional players in history. It was launched in 2002, and its physical premises are in San Diego, California....
.

Stock market

Since the late 1960s Thorp has used his knowledge of probability and statistics
Probability and statistics

See the separate articles on probability or the article on statistics. Statistical analysis depends on the characteristics of particular probability distributions, and the two topics are normally studied together....
 in the stock market by discovering and exploiting a number of pricing anomalies in the securities markets, and he has made a significant fortune.. Princeton/Newport Partners
Princeton Newport Partners

Princeton/Newport Partners was an early alternative investment management company founded by pioneering mathematical financier Edward O. Thorp in late 1974....
 was Thorp's first hedge fund, achieving an annualized net return of 15.1 percent over 19 years. He is currently the President of Edward O. Thorp & Associates, based in Newport Beach, CA. In May 1998 Thorp reported that his personal investments yielded an annualized 20 percent rate of return averaged over 28.5 years.

Bibliography

  • Edward O. Thorp, Elementary Probability, 1977, ISBN 0882753894
  • Edward Thorp, Beat the Dealer: A Winning Strategy for the Game of Twenty-One, ISBN 0-394-70310-3
  • Edward O. Thorp, Beat the Market: A Scientific Stock Market System, ISBN 0-394-42439-5 ()
  • ISBN 0-897-46019-7 ()


Cited references


See also

  • Blackjack
    Blackjack

    Blackjack is the most widely played casino game banking game in the world. Much of blackjack's popularity is due to the mix of chance with elements of skill, and the publicity that surrounds card counting ....
  • Card counting
    Card counting

    Card counting is a card game strategy used to determine when a player has a probability advantage. The term is used almost exclusively to refer to the tracking of the ratio of high cards to low cards in blackjack and its derivatives such as Spanish 21, although it is sometimes used to refer to obtaining a count of the distribution or remaini...
  • Gaming mathematics
    Gaming mathematics

    Gaming mathematics, also referred to as hellow the mathematics of gambling, is a collectionof probability applications encountered in games of chance and can be included...
  • Black–Scholes


External links