Distributed Cribbage Computation
A Distributed Computing Screen Saver
Cribbage is one of the oldest card games in existence. The game is played to a score of 121 points, and the score is tracked on a cribbage board. People who have played enough cribbage note that their optimal play changes depending on where they and their opponent are located on the board. This project generates information to improve play at different board positions.
The Distributed Cribbage Computation Program calculates a value for each board position for several conditions. The expected pay-off for each board position is computed using game theory and Monte Carlo simulation. Four different conditions are examined:
In Cribbage, a player can be at any of 121*121 different board positions. The player can be dealt any of 20,358,520 hands, while his opponent can have any of 9,366,819 hands (the player knows his opponent doesn't have any of the cards he holds). After considering his opponent's hand, there are any of 40 possible up-cards. The player can either be the dealer or the eldest hand, but this is incorporated into the way the board positions are specified. There are 4 different conditions that are being analyzed.
To deterministically compute the values for the board positions of cribbage, a total of 446,713,476,462,225,772,800 conditions would need to be analyzed. Using Monte Carlo techniques, a good approximation can be reached by analyzing only several billion cases. This would still take a few decades on a single computer, however.
By distributing the program, multiple computers can work on the problem at the same time. This reduces the total computation time to something manageable, such as a few years.
The method is discussed further on the details page. The results, as they are currently known, are shown on the results page, with full details on the page devoted to each specific condition.
Please download the distributed cribbage computation and give your spare computer time to this process.
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Brief Results | Win Percentage |
Game Points | 1 and 2 |
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