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. A Favorable Strategy for Twenty-One. Proceedings of the National Academy of Sciences; 1961 (Vol. 47, No. 1, pp 110-112)__________
. Blackjack Pit Procedures. Published by Taj Mahal Casino Resort; c1989 ??? (86 pages)__________
. Casino & Gaming Directory for Nevada. RW Directories, PO BOX 955, Draper, UT 84020. 1991. (23 pages)__________
. Gambling Times & WIN Magazine Master Index. (Stanley Sludikoff aka Stanley Roberts) Gambling Times Inc., Van Nuys, CA; 1992. (113 pages)__________
. Tri-Level Blackjack. Professional Research, Mineola, NY; c1978. (14 pages)__________
. The Turfwin Blackjack System. Turfwin, Port Washington, NY; 1976. (12 pages)__________
. Uniform Dealing Procedures and Rules. Holiday Inn and Holiday Casino, Las Vegas, NV; February 1984. (10 pages)Abram
, Philip. The ECON Inc. Blackjack Policy Simulation Model, and an Analysis of the Elimination of the Early Surrender Rule in Atlantic City. Paper presented to the 5th National Conference on Gambling and Risk Taking; 1981.Abram
, Philip. The Play of the General Public in Atlantic City Blackjack. Paper presented to the 5th National Conference on Gambling and Risk Taking; 1981.Adler
, Seymour. See entry under Smither, James. Attributions for the Poorly...Aldous
, D., and P. Diaconis. Shuffling Cards and Stopping Times, American Mathematical Monthly; May, 1986 (pp. 333-348)Austin (Aus the Boss). The Simplest Way to Win at Blackjack, Computerized Systems Institute; 1973 (41 pages - spiral bound) IMAGE
Baldwin, Roger R. , Wilbert E. Cantey, Herbert Maisel and James P. McDermott. The
Optimum Strategy in Blackjack, Journal of the American Statistical Association;
1956 (Vol. 51, pp. 419-439)
- The first scientific and mathematically sound attempt to
devise an optimal blackjack playing strategy. Available
online at http://www.bjmath.com/bjmath/basic/cantey.pdf.
Barry, Joseph J. Table Selection. The Ritz Institute of Blackjack; 1988. (110 pages)
Bayer
, Dave and Persi Diaconis. Trailing the Dovetail Shuffle to its Lair. 1989. Reprinted in the July 1990 issue (Vol.4, No.3) of The Experts Blackjack Newsletter.This study provides evidence that randomness does not occur in a single deck of cards until shuffled at least 7 times.
Bays
, C., and S. D. Durham. Improving a Poor Random Number Generator, ACM Transactions on Mathematical Software; March 1976 (Vol. 2, #1, pp. 59-64)Blaine
. Rick "Night Train". Blackjack Blueprint: How to Operate a Blackjack Team. RGE Publishing, Oakland, CA. 2000. (45 pages)Blaine. Rick "Night Train". Blackjack In The Zone. RGE
Publishing, Oakland, CA; 2000. (54 pages)
- Review TBD. Includes a forward by Arnold
Snyder. A practical guide for the beginning card counter. Don Schlesinger
comments, "It contains solid no nonsense information that every counter needs to
know.".
Braun, Julian H. Comparing the Top Blackjack Systems. Gambling Quarterly; Fall/Winter 1974 (pp. 22-23 and pp. 54-55)
, Julian H. The Development and Analysis of Winning Strategies for Casino Blackjack (Private research report), Chicago; 1975.Breiman
, L. Optimal Gambling Systems for Favorable Games. Fourth Berkeley Symposium on Probability and Statistics, Vol. 1; 1961.
Canfield, Richard Albert. Existing Blackjack Systems. Expertise
Publishing Co., Reno, NV; 1977, 1979. (43 pages)
- Excellent. Highly recommended. Report attempts to evaluate
the most widely advertised blackjack systems against 3 criteria: 1) The system must have a
solid mathematical foundation. 2) The system must be practical for casino application. 3)
The system must incorporate deceptive techniques during play.
[c78? Rouge et Noir 13]
[77 Canfield Blackjack Your Way to Riches]
Cant, Clarke. Blackjack Therapy. Controversial report on blackjack
and life. 2000.
[ http://www.BJRnet.com/archive/BlackjackTherapy.htm
]
Cardoza
, Avery. (Author uncertain) How to Disguise the Fact That You're an Expert. Cardoza Publishing, Cooper Station, NY; c1985-1990 ???. (1000 words)Cardoza
, Avery. (Author uncertain) How Not to Get Barred. Cardoza Publishing, Cooper Station, NY; c1985-1990. (1500 words)Carter
, Bart. Avoidance Ploys of Card Counters. Paper presented at the 6th National Conference on Gambling in Atlantic City, 1984. Reprinted in Casino & Sports Vol. 28, 1984. (pp. 19-24)Carter
, Bart. Maintaining a Casino Advantage Against Card Counters. University of Nevada: Reno, Bureau of Business and Economic Research. Presented at the 5th National Conference on Gambling and Risk Taking; 1981. (12 pages)Cetinkaya, S. and M. Parlar. Optimal Non-Myopic Gambling Strategy for the
Generalized Kelly Criterion. Naval Research Logistics, Vol. 44, pp. 639-654,
1997.
- Abstract: We consider the optimal wagers to be made by a gambler who starts
with a given initial wealth. The gambler faces a sequence of two-outcome games, i.e.,
`win' vs. `lose', and wishes to maximize the expected value of his terminal utility. It
has been shown by J. L. Kelly, R. Bellman and others that if the terminal utility is of
the form log(x) where x is the terminal wealth, then the optimal policy is myopic, i.e.,
the optimal wager is always to bet a constant fraction of the wealth provided that the
probability of winning exceeds the probability of losing. In this paper we provide a
critique of the simple logarithmic assumption for the utility of terminal wealth and solve
the problem with a more general utility function. We show that in the general case, the
optimal policy is not myopic, and provide analytical expressions for the optimal wager
decisions in terms of the problem parameters. We also provide conditions under which the
optimal policy reduces to the simple myopic case.
Count
, of Monte Carlo. Blackjack: A Little Knowledge is a Dangerous Thing. Freeport, Bahamas; 1963.DeShield
, Dale. Money Management at Tournament Blackjack. (Available at UNLV Gaming Resource Center); 1980. (15 pages)Diaconis
, P. See entry under Aldous, D. Shuffling Cards and Stopping Times. See entry under Bayer, Dave. Trailing the Dovetail Shuffle to its Lair.Donnelly
, John. Brief and Appendix in Support of a Waiver of Early Surrender. Paper presented to the 5th National Conference on Gambling and Risk Taking; 1981.Donnelly
, John. See entry under Stearns, Joel. Supplemental Brief and Appendix...Durham
, S. D. See entry under Bays, C. Improving a Poor Random Number Generator.Ethier
, S. N. On the Definition of the House Advantage. Michigan State University. Paper presented to the 5th National Conference on Gambling and Risk Taking; 1981.Ethier
, S. See entry under Tavare, S. The Proportional Betters Return on Investment.Ferguson
, T. Betting Systems Which Minimize the Probability of Ruin. J. Soc. Indust. Appl. Math.; 1965, pp. 13, 495-818.Francis
, Mike. The Complete Point Count Strategy for Beating Casino Blackjack. R&T Statistical Research, a subsidiary of R&T Publishing Co., Reno, NV; c1980 ??? (27 pages)Friedman
, Joel H. Choosing a Blackjack Game. Paper presented to the 4th National Conference on Gambling and Risk Taking, Reno, NV; 1978.Friedman
, Joel H. Risk Averse Playing Strategies in the Game of Blackjack. University of North Carolina at Chapel Hill; 1980.Friedman
, Joel, M.J. Garvey and Mark Goodfriend. A Sequential Decision Model for the Tournament Blackjack Endgame. Paper presented to the 5th National Conference on Gambling and Risk Taking; October 1981 (27 pages)Friedman
, Joel H. Understanding and Applying the Kelly Criterion. Report to the 5th National Conference on Gambling and Risk Taking, sponsored by the Dept. of Economics of the Univ. of Nevada at Reno; 1981.Garvey
, M. J. See entry under Friedman, Joel. A Sequential Decision Model For the....George
C. Easy as 1,2,3 - How to Play a Multi-Level Count System. XYZ Inc., Denver, CO; c1990?George
C. Gambler's Ruin: The Most Accurate Numbers Ever Generated on this Subject. XYZ Inc., Denver CO; 1989 (?? pages)George
C. How to Make $1 Million Playing Casino Blackjack. XYZ Inc., Denver, CO; 1989 (25 pages)George
C. How George C. Made $300000 From $10000. XYZ Inc., Denver, CO; 1989.George
C. Ploy 1 l Ploy 2 l Ploy3. XYZ Inc., Denver CO; 1991.George
C. Red 7 and Uston SS. XYZ Inc., Denver, CO; c1990.George
C. The Unbalanced Zen. XYZ Inc., Denver CO; c1990?.George
C. Win With Flat Bets. XYZ Inc., Denver CO; 1991.Goldman
, A. See entry under Hasty, G. Casino Card Shuffling Report.Goodfriend
, Mark. See entry under Friedman, Joel. A Sequential Decision Model.Goodnight
, J. H. See entry under Manson, A. R. Optimum Zero Memory Strategy and...Gordon
, Edward. Optimum Strategy in Blackjack: A New Analysis, Claremont Economic Papers #52, Claremont, CA, Jan. 1973. Paper presented to the 1st National Conference on Gambling and Risk Taking; 1974.Gottlieb
, Gary. An Analytic Derivation of Win Rate at Blackjack. Operations Research, Vol. 33, pp. 971-981, Sept/Oct 1985. Paper also presented to the 5th National Conference on Gambling and Risk Taking, University of Nevada, Reno, Bureau of Business and Economic Research; 1981. (19 pages)Gottlieb, Gary. An Optimal Betting Strategy For Repeated Games. Journal
of Applied Probability, Vol. 22, pp. 787-795, 1985.
- Available online at http://www.bjmath.com/bjmath/gottleib/gottleib2.pdf.
Grant
, Doug. (Douglas Grant Von Reiman) The Doug Grant Advanced Dominant Group Method of Winning Blackjack. Sigma Research, Inc., 1985. (39 pages + 12 sound cassettes)Grant, Doug. (Douglas Grant Von Reiman) The Doug Grant Dominant Group Method
Special Revision Lesson. Sigma Research, Inc., 1988. (18 pages)
- Forecasting the apex of the running count total. ???
Grant, Doug. (Douglas Grant Von Reiman) The Doug Grant Method of Instructing
Blackjack Card Counting. Sigma Research, Inc., The Doug Grant Gaming
College, 1980, 1983.
- ???
Grant, Doug. (Douglas Grant Von Reiman) The Sigma Report. Sigma
Research, Inc., 1997c.
- ??? Doug Grant may be the author or co-author of this
report. This report reportedly offered casino consulting and counter catching
services.
[ http://groups.google.com/groups?hl=en&safe=off&ic=1&th=45a02e2f7ba33671,4&seekm=19971029015500.UAA11774%40ladder02.news.aol.com#p
]
[ http://groups.google.com/groups?q=Sigma+Report+Research&hl=en&safe=off&rnum=4&ic=1&selm=633f57%2437r%40bgtnsc01.worldnet.att.net
]
Griffin, Peter A. Curios and Pathologies in the Game of Twenty-One. Paper presented to the 3rd National Conference on Gambling and Risk Taking; 1976.
, Peter A. Different Measures of Win Rate for Optimal Proportional Betting. Management Science, Vol. 30, 1984; pp. 1540-1547. , Peter A. The Effect of Casino Reshuffling Procedures on a Blackjack Player's Fixed Strategy Expectation. Paper presented to the 5th National Conference on Gambling and Risk Taking; 1981.SIDE NOTE Much of Griffin's material, as presented at the National Gambling Conferences through 1981, is included in his book, The Theory of Blackjack. |
Gwynn Jr
, John M. and Robert Maltas. Additional Results Comparing Random and Simulated Casino Shuffling. RGE Publishing, Oakland, CA; 1992. (9 pages)Gwynn Jr
, John and Arnold Snyder. Does Casino Blackjack Differ From Computer-Simulated Blackjack?. RGE Publishing, Oakland, CA; 1987. (24 pages)Gwynn Jr
, John and Jeffrey Teal. Experimental Comparisons of Multiparameter Systems for Blackjack Strategy Variation. Paper presented at the 5th National Gambling Conference at Caesars Tahoe; 1981.Gwynn Jr
, John M. and Armand Seri. Experimental Comparison of Blackjack Betting Systems. Paper presented to the 4th National Conference on Gambling and Risk Taking, Reno, sponsored by the University of Nevada; 1978 (31 pages)Gwynn Jr
, John. Also, see entry under Schlesinger, Donald. The Floating Advantage.Hanson
, James. Nonlinear Programming, Simulation and Gambling Theory Applied to Blackjack. Paper presented to the 1st National Conference on Gambling & Risk Taking; 1974.Hasty
, G., R. Kirk and A. Goldman. Casino Card Shuffling Report. Mathematics Dept., Univ. of Nevada, Las Vegas, NV; c1980? (13 pages)Heath
, David. Algorithms for Computations of Blackjack Strategies; 1973. Presented to the 2nd National Conference on Gambling and Risk Taking sponsored by the University of Nevada; 1975.Heath, David. Remarks on the Advantage of Basic Strategy in Casino Play. Distributed at the 2nd Gambling Conference, Stateline, NV; June, 1975.
, Lance and Julian H. Braun. Everything You Wanted to Know About the World's Most Powerful Blackjack Systems. International Gaming Inc., Thornhill, Ontario, Canada; 1978. (32 pages)Ita
, Koko. A Very Simplified Scientific Counting Procedure for the Blackjack Game. Paper presented to the 2nd National Conference on Gambling and Risk Taking; 1975.Jacobs, Steve. Computation of Optimal Betting Strategy for Blackjack;
1993. Posted on RGB.
- Available online at http://www.bjmath.com/bjmath/Betsize/sjopt.htm
and http://www.BJRnet.com/member/archive/JacobsSteve_ComputationOptimalBetting.htm.
Jackson,
Matthew. Ace Adjustment Made Simple; 1993. (27 pages)
- Includes complete conversion charts for level 1, 2, 3 and 4 counting
systems, using either full- or half-deck true count adjustments and for single- and
double-deck games.
[9/93 Snyder Blackjack Forum 98]
Kadlic
, Thomas & Murray Kirch. Blackjack II - An Anti-Card Counting System. Ansecan, NJ; Vingt-Et-Un Corp. Paper present at the 5th National Conference on Gaming and Risk Taking; Oct. 1981.Karlee
, R.. Blackjack for Fun?... Or Profit?. R. Karlee. 1977, 1983. (20 pages)Keren
, Gideon B. See entry under Wagenaar, Willem. Calibration of Probability...Kelly
, J.L. A New Interpretation of Information Rate. IRE Transactions on Information Theory, Vol. IT-2, No. 3, Sept 1956. Bell System Technical Journal; 1956 (Vol. 35, pp. 917-926)Kirch
, Murray. See entry under Kadlic, Thomas. Blackjack II - An Anti-Card....Kirk
, R. See entry under Hasty, G. Casino Card Shuffling Report.Manson
, A.R., A.J. Barr, and J.H. Goodnight. Optimum Zero Memory Strategy and Exact Probabilities for 4-Deck Blackjack. The American Statistician; 1975 (29(2):84-88)MathProf, Using RA-Fractions to Optimize DI or RoR. BJmath workshop.
- Discusses risk averse playing and betting strategies using what the author
refers to as critical fractions. The strategy which minimizes Risk of Ruin is the one
which is RA-optimal at the double Kelly level.
Available online at http://www.bjmath.com/bjmath/ror/rafract.htm.
McArdle, Harry J. The High-Low Pick-Up Count. Jamaica, New York. Paper
presented to the 5th National Conference on Gambling and Risk Taking; 1981.
- Paper outlines a count whose purpose is to determine the
extent to which high cards follow high cards in the deck.
[c81? Rouge et Noir]
McArdle
, Harry J. Twenty Years of Blackjack in Puerto Rico and Some Observations On Cheating. Jamaica, New York. (Possibly presented to the 5th National Conference on Gambling and Risk Taking; 1981 ???)McCall
, Whit. Blackjack Profits Princeton Publications, Lawrenceville, NJ; c1979 ??? (36 pages)Miller
, Rusty. How Card Counters Get Rich. Crew's News - A Showboat Casino newsletter; 1987.Millman
, Martin. A Statistical Analysis of Casino Blackjack. Dept. of Math., William Patterson College, Wayne, NJ. Paper reprinted in Casino & Sports, 1984 (Vol. 26. pp. 23-28)Mitchell
, D. Howard. and Stanley Roberts. How Advanced Should Your Blackjack System Be? Paper presented to the 4th National Conference on Gambling and Risk Taking; 1978.Moore, J.C. Blackjack X-Count 2000: Nutshell Books, Welch, OK; 1999.
(52 pages)
- Review TBD. This
spiral bound book/report advertises, "Always reflects player's 2% edge. The
counting system that renders all others obsolete for effectiveness and simplicity."
Palumbo
, Chris. Winning Blackjack (The Palumbo Method). San Clemente, CA; c1983 ??? (8 pages)Rosario, Ed. Success in Blackjack. Self published, Broadview, IL;
c1978 ??? (26 pages)
- Not recommended. A progressive betting system.
[c78? Rouge et Noir 36]
Schlesinger, Donald and John Gwynn. The Floating Advantage - Does it Sink or Swim?.
RGE Enterprises, Oakland, CA; 1989 (34 pages)
- Excellent. Highly Recommended. A fascinating paper that
discusses the long-held notion that the same true count implies a greater advantage later
in the deck than it did earlier. This report and most of the accompanying data were
printed in the March 1989 issue of Arnold Snyder's Blackjack Forum.
Scullion
, Geraldine. A Woman's Approach to Blackjack. (23 pages)Seri
, Armand. Optimum Running Count Strategies in Blackjack. Paper presented to the 5th National Conference on Gambling and Risk Taking; 1981.Seri
, Armand. See entry under Gwynn Jr, John. Experimental Comparison of...Sileo
, Patrick. The Evaluation of Blackjack Games Using a Combined Expectation and Risk Measure. 8th Annual Conference on Gambling and Risk Taking, London; 1990.Sincich
, Terry. The Blackjack Victory of the Seven Samurai. Article from Chapter 4 (Probability) of Statistics by Example, 2nd edition, Dellen Publishing Co., San Francisco, CA; 1985 (762 pages)Skov
, Richard B. See entry under Smither, James. Attributions for the Poorly... , James W., Richard B. Skov and Seymour Adler. Attributions for the Poorly Performing Blackjack Dealer: In the Cards or Inability? Personnel Psychology; Spring 1986 (Vol. 39) , Arnold. Algebraic Approximation of Optimum Blackjack Strategy. Berkeley, CA, 1980. Paper presented to the 5th National Conference on Gambling and Risk Taking, Univ. of Nevada at Reno, Bureau of Business and Economic Research; 1981. (24 pages)
Snyder, Arnold. The Over/Under Report. (with computer analysis by Sam
Case) RGE Publishing; Oakland, CA; 1989.
- Excellent. Highly recommended. Get this report if you plan
to play the Over/Under games. Includes point count systems optimized for this side bet.
[89 Blackjack Forum]
Stearns
, Joel and John Donnelly. Supplemental Brief and Appendix on Behalf of Resorts International Hotel, Inc., in Uston Vs. Resorts International. Paper presented to the 5th National Conference on Gambling and Risk Taking; 1981. , Ralph. Cycles and Circumstances. 1980.Teal
, Jeffrey. See entry under Gwynn Jr., John. Experimental Comparisons of Multi... , Edward O. Blackjack. Mathematics Dept., University of CA; 1975. (11 pages)Thorp, Edward O. The
Kelly Criterion in Blackjack, Sports Betting, and the Stock Market. Paper
presented at: The 10th International Conference on Gambling and Risk Taking, Montreal,
June 1997; revised May 29, 1998
- Available online at http://www.bjmath.com/bjmath/thorp/paper.htm.
Thorp, Edward O. Nonrandom
Shuffling with Applications to the Game of Faro. Journal of the American
Statistical Assoc.; Dec. 1973 (Vol. 68, Num. 344, pp. 842-847)
- An example illustration is also made for the game of
blackjack.
Verbel
, Jerry. How to Make a Day's Pay From $100 to $1,000 Playing Blackjack. Self published; 1992. (40 pages)Wagenaar
, Willem A. and Gideon B. Keren. Calibration of Probability Assessments by Professional Blackjack Dealers, Statistical Experts, and Lay People. Organizational Behavior and Human Decision Processes, Vol. 36, pp. 406-16, December 1985.Walden
, W. E. See entry under Thorp, Edward. The Fundamental Theorem of...Whitley
, R. J. See entry under Thorp, Edward. Concave Utilities are Distinguished... , Stanford. Blackjack Secrets. Pi Yee Press, La Jolla, CA; 1985. (30 pages)Last
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