National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
(Non)rationality of betting
Hamáček, Filip ; Hlaváček, Jiří (advisor) ; Cahlík, Tomáš (referee)
The subject of this bachelors thesis is nonrationality of betting. The first part of thesis is discussing different instruments of risk evaluation. The second part is about Petersburg paradox. This thesis tries to find alternative solution to Petersburg paradox using two methods, the first method is based on repeating high amount of petersburg games. The second method is maximizing the probability of economic survival, which is based on wealth of the player and on bound of economic survival. In the third part of this thesis, Sportka (Czech lottery) is compared with special tournament of poker. The goal of this part is to compare the expected return of investment on playing Sportka and on playing poker without even basic notion about rules and the game strategy. For the estimation of the expected value of poker tournament, different game scenarios are considered, probability of scenarios are based on players behavior according to the Nash equilibrium. Keywords: Betting, expected value, Petersburg paradox, lottery, poker, Nash equilibrium
Paradoxes in Probability Theory
Rušin, Ján ; Haman, Jiří (advisor) ; Dostál, Petr (referee)
The Bachelor's thesis present an overview and description of selected probability theory paradoxes, namely the paradox of Monty Hall, the Bertrand's paradox and the St. Peterburg paradox. In every chapter the reader is at first apprised of the formulation and the essence of the paradox. Then we show some possible solutions of this paradox. In original formulation of Monty Hall paradox there exists just one solution which can be reached by using two different ways. We add also some simple modifications to this particular paradox. The formula- tion of Bertrand's paradox is ambiguous which we show by using four selected approaches. And very similar situation arises in St. Peterburg paradox which we resolve by using three different approaches. 1

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