๐Ÿค‘ Distributed Blackjack - MATLAB & Simulink Example

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Play the game of Blackjack, either one hand, or thousands of hands, % at a time, strategy is % defined by three arrays, HARD, SOFT and SPLIT, in the code. From "Numerical Computing with MATLAB" % Cleve Moler % The MathWorks.


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Notice that the task function is the same function that was used in the sequential example. You can view the code for pctdemo_task_blackjack for full details.


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blackjack matlab function

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Notice that the task function is the same function that was used in the sequential example. You can view the code for pctdemo_task_blackjack for full details.


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blackjack matlab function

T7766547
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Play the game of Blackjack, either one hand, or thousands of hands, % at a time, strategy is % defined by three arrays, HARD, SOFT and SPLIT, in the code. From "Numerical Computing with MATLAB" % Cleve Moler % The MathWorks.


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blackjack matlab function

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Please feel free to modify and redistribute the code as you see fit! Open 332277.ru file with winrar and extract the blackjack folder into your main.


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blackjack matlab function

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Notice that the task function is the same function that was used in the sequential example. You can view the code for pctdemo_task_blackjack for full details.


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blackjack matlab function

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function blackjack(action). %BLACKJACK A Blackjack game for Matlab. % This is a very basic (head-on) Blackjack game with six decks of cards. % The player is.


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blackjack matlab function

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function blackjack(action). %BLACKJACK A Blackjack game for Matlab. % This is a very basic (head-on) Blackjack game with six decks of cards. % The player is.


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blackjack matlab function

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function blackjack(action). % BLACKJACK. Use random numbers in Monte Carlo simulation to play. % the game of Blackjack. %. % In Blackjack, face cards.


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blackjack matlab function

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Play the game of Blackjack, either one hand, or thousands of hands, % at a time, strategy is % defined by three arrays, HARD, SOFT and SPLIT, in the code. From "Numerical Computing with MATLAB" % Cleve Moler % The MathWorks.


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blackjack matlab function

This is your best defense against the house advantage. It would require longer runs with millions of hands to be sure that the expected return is slightly negative. The cumulative return from the four players is the dot product of the two vectors annotating the horizontal axis. If your total ever exceeds 21, you are "bust," and the dealer wins the hand without drawing any more cards. A variant has the dealer draw to a "soft" 17, which is a hand with an ace counting If neither player goes bust, then the hand closest to 21 wins. Equal totals are a "push," and neither wins. Basic strategy recommends splitting the pair of 8s. Figure 3. It is now presented, with a few variations, on dozens of web pages, including Wikipedia. But if the dealer is also showing a low card, stand on your low total and wait to see if the dealer goes over Card counting was introduced in in Beat the Dealer , a hugely popular book by Edward Thorp. Using a basic strategy, a knowledgeable player can reduce the casino's advantage to less than one-half of one percent. Here is the main program:. More important than these final results is the fact that both instruments show large fluctuations about their mean behavior. The function hard uses the array HARD to guide the play of most hands. The row index into HARD is the current total score, and the column index is the value of the dealer's up card. The dealer has no choices to make, and must draw on hands worth less than 17 and stand on hands worth 17 or more. With "only" 25, hands for each player, the simulation is still too short to show the long-term trend. Figure 1. Your play depends only on your current hand and the dealer's up card. But I can attest that card counting is boring, error-prone, and not very lucrative. For example, Figures 1 and 2 show the play of an infrequent but lucrative hand. Cards are dealt from the end of the deck, and the deck is reshuffled when there are just a few cards left. This function faithfully simulates a blackjack game with four decks dealt without reshuffling between hands. My original MATLAB program, written several years ago, had a persistent array that is initialized with a random permutation of several copies of the vector These integers represent both the values and the suits in a card deck. Your cards are dealt face up; one of the dealer's cards stays face down. The final outcome. Figure 4. Over the short term, stock market daily behavior and card shuffling luck are more influential than any long-term trend.

Blackjack is the most popular casino game in the world. With basic strategy, the house advantage is only about one half of one percent of the original bet.

The fact that you can bust before the dealer takes any cards is a disadvantage that would be overwhelming were it not for three additional features of the game.

You play against the dealer. You blackjack matlab function "hit" to receive additional cards. The results are communicated to the master and stored in the columns of B. Thorp's book was followed by a blackjack matlab function of other books that simplified and popularized various systems.

My personal interest in blackjack began with a book by John Archer. The strategy assumes that you do not retain information from earlier blackjack matlab function.

It would be possible to count cards, but this shuffler has two defects: It does not simulate a modern shuffling machine, and the persistent array prevents some kinds of parallelization.

The dealer goes bust, blackjack matlab function you a rare 3x win. Card more info gives you a mathematical advantage over the casino. The suit is irrelevant in the play, but is blackjack matlab function to have in the display.

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Blackjack is also known as " Face cards are worth 10 points, aces are worth either 1 or 11, and all other cards are worth their numerical value. The master can then use B to produce the plot shown in Figure 3. This represents the situation where both you and the dealer have bad handsโ€”your total and the dealer's expected total are each less than You are tempted to hit, but you might bust, so you stand. This run can also produce the histograms shown in Figure 4. It is nowhere near as glamorousโ€”or as dangerousโ€”as the recent Hollywood film "21" portrays it. Figure 5. My second program plays a large number of hands using basic strategy and collects statistics about the outcome. My most recent simulated shuffler is much simpler. We see that in runs of this length, the randomness of the shuffle still dominates. The average return and a measure of its variation are shown in the title of the figure. In our functions, the subarray HARD , is nearly all zero. The matlabpool command starts up many workers copies of MATLAB on the cores or processors available in a multicore machine or a cluster. If the deck is not reshuffled after every hand, you can keep track of, for example, the number of aces, face cards, and nonface cards that you have seen. Short-term random fluctuations dominate any long-term trend. These workers are also known as labs. The first hand is then dealt a 3 to add to the 8, giving Basic strategy recommends always doubling down on The next card is a king, giving the first hand The second hand is dealt a 5 to go with the 8, giving it You might be tempted to hit the 13, but the dealer is showing a 4, so you stand. Choose a web site to get translated content where available and see local events and offers. After splitting, you double down on your first hand and stand on your second. Figure 2. The dealer will have to hit, and might bust. Exactly how much of an advantage depends upon how much you are able to remember about the cards you have seen. Basic strategy, highlighted in red, recommends splitting the pair. On your first two cards:. One program offers an interface that lets you play one hand at a time. The second shows the performance of our blackjack simulation playing hands a day for each of the days the stock market was open that year. The return value is 0, 1, or 2, indicating "stand," "hit," or "double down. The most important consideration in basic strategy is to avoid going bust when the dealer has a chance of going bust. The dealer's up card is a 4. And many venues now have machines that continuously shuffle the cards after each hand, making card counting impossible. This situation is to your advantage because you have a better than usual chance of getting a blackjack and the dealer has a better than usual chance of going bust. The computation time is about 11 seconds on my dual-core laptop. So you increase your bet and adjust your strategy. The random number generators on each lab are initialized to produce statistically independent streams drawn from a single overall global stream. Start of an atypical but important example: You are dealt a pair of 8s, and the dealer's up card is a 4. Blackjack can be a surrogate for more sophisticated financial instruments. Basic strategy was first described in the paper "The Optimum Strategy in Blackjack," published in the Journal of the American Statistical Association by four authors from the Aberdeen Proving Ground. The main program on the master MATLAB creates an array B , and then the parfor loop runs a separate instance of the sequential simulator, blackjacksim , on each lab. When you are satisfied with your hand, you "stand. Based on your location, we recommend that you select:. Basic strategy is highlighted, but you can make other choices. Four players in a parallel simulation. It is not possible to count cards with this shuffler. It creates an idealized mechanical shuffler that has an infinite number of perfectly mixed decks. The dealer reveals a 10, and has to hit the This kind of hand is rare, but gratifying to play correctly. Green wins, red nearly breaks even, cyan muddles through, and blue should have quit while he was ahead. Histograms for each player. You each start with two cards.