Griffin, P.A.: The Theory of Blackjack: the Compleat Card Counter’s Guide to the Casino Game of 21. In: Proceedings of the 2004 Congress on Evolutionary Computation (IEEE Cat. 85–92 (2012)įogel, D.B.: Evolving strategies in blackjack. In: Proceedings of the 14th Annual Conference Companion on Genetic and Evolutionary Computation, pp.

rep., National University of Ireland, Galwayĭe Rainville, F.M., Fortin, F.A., Gardner, M.A., Parizeau, M., Gagné, C.: Deap: A python framework for evolutionary algorithms. (2012)Ĭurran, D., O’Riordan, C.: Evolving blackjack strategies using cultural learning in multi-agent systems. Pi Yee Press (2001)Ĭoltin, K.: Optimal strategy for casino blackjack: a markov chain approach. KeywordsĬarlson, B.: Blackjack for Blood. However, because of the large weight values, it is unlikely that these systems can be played quickly and accurately even by professional card counters. Finally, by applying rounding and scaling, we transformed some real valued strategies to integer point counts and found that most of the systems’ extra edge is preserved. The obtained systems outperform classical integer count techniques, offering a better balance of the efficiency metrics. After convergence, we evaluated the systems in the three efficiency categories used to characterize card counting strategies: playing efficiency, betting and insurance correlation.

Using a blackjack simulator and a simple genetic algorithm, we evolved weights vectors for ace-neutral and ace-reckoned balanced strategies with a fitness function that indicates how much a given strategy empirically under or outperforms a simple card counting system. In this paper we investigate how much advantage would a system using real valued weights provide. Historically, card counting systems used integers and rarely the 1/2 and 3/2 fractions, as computation with these are easier and more tractable for the human memory. In theory, any assignment of weights is permissible. Summing the point values of the already played cards gives a concise numerical estimate of how advantageous the remaining cards are for the player. A card counting system assigns point values (weights) to the cards. Card counting is a family of casino card game advantage gambling strategies, in which a player keeps a mental tally of the cards played in order to calculate whether the next hand is likely to be in the favor of the player or the dealer.

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