Edward O. Thorp
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Edward Oakley Thorp (born August 14, 1932) is an American mathematics professor, author,
hedge fund A hedge fund is a Pooling (resource management), pooled investment fund that holds Market liquidity, liquid assets and that makes use of complex trader (finance), trading and risk management techniques to aim to improve investment performance and ...
manager, and
blackjack Blackjack (formerly black jack or ''vingt-un'') is a casino banking game. It is the most widely played casino banking game in the world. It uses decks of 52 cards and descends from a global family of casino banking games known as " twenty-one ...
researcher. He pioneered the modern applications of
probability theory Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expre ...
, including the harnessing of very small
correlation In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data. Although in the broadest sense, "correlation" may indicate any type of association, in statistics ...
s for reliable financial gain. Thorp is the author of ''Beat the Dealer'', which mathematically proved that the
house advantage A casino game is one in which players gambling, gamble cash or casino token, chips on various possible random outcomes or combinations of outcomes, often in a casino environment. Such games are also available in online casinos, where permitted b ...
in blackjack could be overcome by
card counting Card counting is a blackjack betting strategy, strategy used to determine whether the player or the dealer has an advantage on the next hand. Card counters try to overcome the casino house edge by keeping a running count of high and low valued c ...
. He also developed and applied effective hedge fund techniques in the
financial market A financial market is a market in which people trade financial securities and derivatives at low transaction costs. Some of the securities include stocks and bonds, raw materials and precious metals, which are known in the financial marke ...
s, and collaborated with
Claude Shannon Claude Elwood Shannon (April 30, 1916 – February 24, 2001) was an American mathematician, electrical engineer, computer scientist, cryptographer and inventor known as the "father of information theory" and the man who laid the foundations of th ...
in creating the first
wearable computer A wearable computer, also known as a body-borne computer, is a computing device worn on the body. The definition of 'wearable computer' may be narrow or broad, extending to smartphones or even ordinary wristwatches. Wearables may be for general ...
. Thorp received his Ph.D. in mathematics from the
University of California, Los Angeles The University of California, Los Angeles (UCLA) is a public university, public Land-grant university, land-grant research university in Los Angeles, California, United States. Its academic roots were established in 1881 as a normal school the ...
in 1958, and worked at the
Massachusetts Institute of Technology The Massachusetts Institute of Technology (MIT) is a Private university, private research university in Cambridge, Massachusetts, United States. Established in 1861, MIT has played a significant role in the development of many areas of moder ...
(MIT) from 1959 to 1961. He was a professor of mathematics from 1961 to 1965 at
New Mexico State University New Mexico State University (NMSU or NM State) is a public, land-grant, research university in Las Cruces, New Mexico, United States. Founded in 1888, it is the state's oldest public institution of higher education, and was the original land-g ...
, and then joined the
University of California, Irvine The University of California, Irvine (UCI or UC Irvine) is a Public university, public Land-grant university, land-grant research university in Irvine, California, United States. One of the ten campuses of the University of California system, U ...
where he was a professor of mathematics from 1965 to 1977 and a professor of mathematics and finance from 1977 to 1982.


Background

Thorp was born in Chicago, but moved to southern California in his childhood. He had an early aptitude for science, and often tinkered with experiments of his own creation. He was one of the youngest amateur radio operators when he was certified at age 12. Thorp went on to win scholarships by doing well in chemistry and physics competitions (one instance led him to meeting President Truman), ultimately electing to go to UC Berkeley for his undergraduate degree. However, he transferred to UCLA after one year, majoring in physics. This was eventually followed by a PhD in Mathematics at UCLA. He met his future wife Vivian during his first year at UCLA. They married in January 1956.


Computer-aided research in blackjack

Thorp used the
IBM 704 The IBM 704 is the model name of a large digital computer, digital mainframe computer introduced by IBM in 1954. Designed by John Backus and Gene Amdahl, it was the first mass-produced computer with hardware for floating-point arithmetic. The I ...
as a research tool in order to investigate the probabilities of winning while developing his
blackjack Blackjack (formerly black jack or ''vingt-un'') is a casino banking game. It is the most widely played casino banking game in the world. It uses decks of 52 cards and descends from a global family of casino banking games known as " twenty-one ...
game theory, which was based on the Kelly criterion, which he learned about from the 1956 paper by Kelly.Understanding Fortune’s Formula by Edward O. Thorp Copyright 2007
Quote: "My 1962 book Beat the Dealer explained the detailed theory and practice. The “optimal” way to bet in favorable situations was an important feature. In Beat the Dealer I called this, naturally enough, “The Kelly gambling system,” since I learned about it from the 1956 paper by John L. Kelly."
THE KELLY CRITERION IN BLACKJACK, SPORTS BETTING, AND THE STOCK MARKET by Edward O. Thorp Paper presented at: The 10th International Conference on Gambling and Risk Taking Montreal, June 1997
/ref>Discovery channel documentary series: ''
Breaking Vegas ''Breaking Vegas'' is an American television series that premiered on the History Channel in 2004. The series covers the great lengths people have gone to make money, sometimes illegally, from casinos. Many episodes have to do with cheats who ill ...
,'' Episode: "Professor Blackjack" with interviews by Ed and Vivian Thorp
The Tech (MIT)
"Thorpe, 704 Beat Blackjack" Vol. 81 No. I Cambridge, Mass., Friday, February 10, 1961
He learned Fortran 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 Card counting is a blackjack betting strategy, strategy used to determine whether the player or the dealer has an advantage on the next hand. Card counters try to overcome the casino house edge by keeping a running count of high and low valued c ...
schemes with the aid of the IBM 704 in order to improve his odds, especially near the end of a card deck that is not being reshuffled after every deal.


Applied research in casinos

Thorp decided to test his theory in practice in Reno,
Lake Tahoe Lake Tahoe (; Washo language, Washo: ''dáʔaw'') is a Fresh water, freshwater lake in the Sierra Nevada of the Western United States, straddling the border between California and Nevada. Lying at above sea level, Lake Tahoe is the largest a ...
, and
Las Vegas Las Vegas, colloquially referred to as Vegas, is the most populous city in the U.S. state of Nevada and the county seat of Clark County. The Las Vegas Valley metropolitan area is the largest within the greater Mojave Desert, and second-l ...
,
Nevada Nevada ( ; ) is a landlocked state in the Western United States. It borders Oregon to the northwest, Idaho to the northeast, California to the west, Arizona to the southeast, and Utah to the east. Nevada is the seventh-most extensive, th ...
.It's Bye! Bye! Blackjack
Edward Thorp, the pensive professor above, is shaking the gambling world with a system for beating a great card game. He published it a year ago, and now the proof is in: it works David E. Scherman January 13, 1964 pp. 1–3 from SI Vault (beta)(CNN) Quotes: "The unlikely trio was soon on its way to Reno and Lake Tahoe, where Thorp's horn-rimmed glasses, dark hair and fresh, scrubbed face hardly struck terror into the pit bosses. (p. 1)", "But Edward Thorp and his computer are not done with Nevada yet. The classiest gambling game of all—just ask James Bond—is that enticing thing called baccarat, or chemin de fer. Its rules prevent a fast shuffle, and there is very little opportunity for hanky-panky. Thorp has now come up with a system to beat it, and the system seems to work. He has a baccarat team, and it is over $5,000 ahead. It has also been spotted and barred from play in two casinos. Could it be bye-bye to baccarat, too? (p. 1)" and "But disguises frequently work. Thorp himself now uses a combination of wraparound glasses and a beard to change his appearance on successive Las Vegas visits. (p. 3)"
Thorp started his applied research using $10,000, with Manny Kimmel, a wealthy professional gambler and former bookmaker,Breaking Vegas “Professor Blackjack.”
Biography channel Rated: TVPG Running Time: 60 Minutes Quote: "In 1961, lifelong gambler Manny Kimmel, a "connected" New York businessman, read an article by MIT math professor Ed Thorp claiming that anyone could make a fortune at blackjack by using math theory to count cards. The mob-connected sharpie offered the young professor a deal: he would put up the money, if Thorp would put his theory to action and card-count their way to millions. From Thorp's initial research to the partnership's explosive effect on the blackjack landscape, this episode boasts fascinating facts about the game's history, colorful interviews (including with Thorp), and archival footage that evokes the timeless allure and excitement of the thriving casinos in the early `60s. "
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. As a countermeasure to his methods, casinos now shuffle long before the end of the deck is reached. 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 or baccara (; ) is a card game. It is now mainly played at casinos, but formerly popular at house-parties and private gaming rooms. The game's origins are a mixture of precursors from China, Japan, and Korea, which then gained popularit ...
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 (substantially updated in 1966), widely considered the original guide to card counting, 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. Thorp's blackjack researchA favorable strategy for twenty-one. Proceedings of the National Academy of Sciences 47 (1961), 110-112 is one of the very few examples where results from such research reached the public directly, completely bypassing the usual academic
peer review Peer review is the evaluation of work by one or more people with similar competencies as the producers of the work (:wiktionary:peer#Etymology 2, peers). It functions as a form of self-regulation by qualified members of a profession within the ...
process cycle. He has also stated that he considered the whole experiment an academic exercise. In addition, Thorp, while a professor of mathematics at MIT, met
Claude Shannon Claude Elwood Shannon (April 30, 1916 – February 24, 2001) was an American mathematician, electrical engineer, computer scientist, cryptographer and inventor known as the "father of information theory" and the man who laid the foundations of th ...
, and took him and his wife Betty Shannon as partners on weekend forays to Las Vegas to play
roulette Roulette (named after the French language, French word meaning "little wheel") is a casino game which was likely developed from the Italy, Italian game Biribi. In the game, a player may choose to place a bet on a single number, various grouping ...
and blackjack, 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, as of May 30, 1985, when the Nevada devices law came into effect as an emergency measure targeting blackjack and roulette devices. The wearable computer was co-developed with Claude Shannon between 1960 and 1961. It relied on a pair of operators, where one would watch the wheel and use his toe to input the cadence of the wheel, and the other would receive a message in the form of musical tones through a hidden earpiece. By betting on groups of neighboring numbers on the wheel they could gain a sufficient advantage to make a profit. The final operating version of the device was tested in Shannon's home lab at his basement in June 1961. Based on his achievements, Thorp was an inaugural member of the Blackjack Hall of Fame. He also devised the "Thorp count", a method for calculating the likelihood of winning in certain endgame positions in
backgammon Backgammon is a two-player board game played with counters and dice on tables boards. It is the most widespread Western member of the large family of tables games, whose ancestors date back at least 1,600 years. The earliest record of backgammo ...
. ''Edward O. Thorp's Real Blackjack'' was published by Villa Crespo Software in 1990.


Stock market

Since the late 1960s, Thorp has used his knowledge of
probability Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an e ...
and
statistics Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a s ...
in the stock market by discovering and exploiting a number of pricing anomalies in the
securities market Security market is a component of the wider financial market where securities can be bought and sold between subjects of the economy, on the basis of demand and supply. Security markets encompasses stock markets, bond markets and derivatives ma ...
s and has made a significant fortune. Thorp's first hedge fund was Princeton/Newport Partners from 1969 to 1989 based on
Market Neutral An investment strategy or portfolio is considered market-neutral if it seeks to avoid some form of market risk entirely, typically by hedging. To evaluate market neutrality requires specifying the risk to avoid. For example, convertible arbitrage ...
Derivatives Hedging. His second hedge fund was called Ridgeline Partners and it ran from August 1994 through September 2002 based on
statistical arbitrage In finance, statistical arbitrage (often abbreviated as Stat Arb or StatArb) is a class of short-term financial trading strategies that employ Mean reversion (finance), mean reversion models involving broadly diversified portfolios of securities (h ...
. This hedge fund was closed largely because the return of the statistical arbitrage strategies had been low since 2002. He is currently the President of Edward O. Thorp & Associates, based in
Newport Beach Newport Beach is a coastal city of about 85,000 in southern Orange County, California, United States. Located about southeast of downtown Los Angeles, Newport Beach is known for its sandy beaches. The city's harbor once supported maritime indu ...
, California. In May 1998, Thorp reported that his personal investments yielded an annualized 20 percent rate of return averaged over 28.5 years. Thorp wrote many articles about option pricing, Kelly criterion, statistical arbitrage strategies (6-parts series),Statistical Arbitrage - part 6 by Edward O. Thorp
/ref> and inefficient markets.Inefficient Markets by Edward O. Thorp
/ref> In 1991, Thorp was an early skeptic of Bernie Madoff's supposedly stellar investing returns which were proved to be fraudulent in 2008.


Bibliography

* Edward Thorp, (1964) ''Beat the Dealer: A Winning Strategy for the Game of Twenty-One'', * Edward O. Thorp, Sheen T. Kassouf, (1967) ''Beat the Market: A Scientific Stock Market System'',
online pdf
retrieved 22 Nov 2017) * Edward O. Thorp, ''Elementary Probability'', 1977, * Edward O. Thorp, ''The Mathematics of Gambling'', 1984, (online versio
part 1part 2part 3part 4
* The Kelly Capital Growth Investment Criterion: Theory and Practice (World Scientific Handbook in Financial Economic Series), , February 10, 2011 by Leonard C. MacLean (Editor), Edward O. Thorp (Editor), William T. Ziemba (Editor) * (Autobiography) Edward O. Thorp, (2017)

' * William Poundstone (2005) ''Fortune's Formula: The Untold Story of the Scientific Betting System That Beat the Casinos and Wall Street''


See also

* Black–Scholes * Four Horsemen of the Apocalypse - who derived Basic strategy for blackjack *
Gaming mathematics The mathematics of gambling is a collection of probability applications encountered in games of chance and can be included in game theory. From a mathematical point of view, the games of chance are experiments generating various types of aleatory ...
* Kelly criterion * Proebsting's paradox * Richard A. Epstein


References


Sources

* Patterson, Scott D., '' The Quants: How a New Breed of Math Whizzes Conquered Wall Street and Nearly Destroyed It'', Crown Business, 352 pages, 2010. vi
Patterson and Thorp interview
on
Fresh Air ''Fresh Air'' is an American radio talk show broadcast on National Public Radio stations across the United States since 1985. It is produced by WHYY-FM in Philadelphia, Philadelphia, Pennsylvania. The show's hosts are Terry Gross and Tonya Mosl ...
, February 1, 2010, including excerpt "Chapter 2: The Godfather: Ed Thorp"


External links

*
Edward O. Thorp official site

Thorp, Edward entry, Wilmott Wiki

Edward O. Thorp & Fortune's Formula
{{DEFAULTSORT:Thorp, Edward Oakley 1932 births American blackjack players American gambling writers American male non-fiction writers 20th-century American mathematicians 21st-century American mathematicians American hedge fund managers American investors American money managers American stock traders Living people University of California, Irvine faculty New Mexico State University faculty Massachusetts Institute of Technology School of Science faculty