Blackjack z pohledu teorie her

This bachelor's thesis deals with Blackjack, especially from the point of view of game theory - its mathematical notation and the overall mathematics hidden in this game. The first topic of the work is the calculation of the probabilities of winning a player under certain conditions where there are more high than low cards in the deck, or the overall effect of the number of cards in the deck on changing the probability of the player playing. The aim of these mathematical notations should be simplicity in the principle of calculations, which can be easily applied to different chosen conditions.Furthermore, this work deals with the formulation of the mathematical notation of this card game and the overall description both from the point of view of game theory and from a general point of view. Categorize blackjack into already defined types of games from the point of view of game theory.Finally, it solves the use of MATLAB simulation code, which uses the Monte Carlo algorithm to simulate any number of blackjack games and then display the results in graphs to support assumptions and confirm already known hypotheses. All sections contain conclusions that put all simulations and calculations in context. In addition, thanks to the description of the simulation MATLAB code, this bachelor thesis can be used as a guide to understand the principles in program code of Blackjack.