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Game theory--optimum strategy for drawing cards in 21 points
- 1 University of Toronto
- 2 The Second High School Attached to Beijing Normal University
- 3 RDFZ Chaoyang Branch School
* Author to whom correspondence should be addressed.
Abstract
Blackjack is a popular casino poker game in which players make drawing decisions based on rules other than the size of their points. We found that despite the randomness of the card draw, blackjack is actually very mathematical and logical. By calculating probabilities and using game theory, we can allow players to make relatively "rational" decisions that maximize their expectations of winning, rather than relying solely on guesswork and vague feelings. Therefore, in this article, we built several models to simulate a blackjack game with different numbers of people. For players in each model, we give them a code that outputs the optimal decision, which helps them figure out the winning percentage (more specifically, the expectation, since once stakes are involved in multiplayer games, the winning percentage doesn't necessarily represent the expectation of winning money) for each decision, thus helping the player make a better decision.
Keywords
game theory, 21 points, probability distribution function, payoff matrix.
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Cite this article
Han,C.;Peng,R.;Zhao,H. (2023). Game theory--optimum strategy for drawing cards in 21 points. Theoretical and Natural Science,5,983-1001.
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The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
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Volume title: Proceedings of the 2nd International Conference on Computing Innovation and Applied Physics (CONF-CIAP 2023)
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