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Logical games and truth values
Majer, Ondrej
Formal game theory allows for an alternative view on logical systems: we can see verification of a certain statement as a game - formalized dialogue of two players. The rules of the game correspond to the properties of the system in the framework of which the statement is formalized. The article deals with the relation between properties of logical games and the number of truth values of the corresponding logical systems.
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"Logica ludus"
Peregrin, Jaroslav
Recent development of logic has brought about an interest in the interconnections between logic and game theory. As a result, logical calculi have started to be seen as means of delimitation of certain rules, within the framework of which we then play certain games ('of justification'), represented by statements of the corresponding calculi. The paper discusses two variants of such 'game-theoretical' approach to logic: Hintikka's game-theoretical semantics of classical logic and Lorenzen's dialogic logic.
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Game Theory and poker
Petrus, Ján ; Bartoň, Petr (advisor) ; Koubek, Ivo (referee)
Society regards still poker as a form of hazard but in fact it is a " game of skill". The game where one must make correct decisions and manage ones money. Luck plays no role in the long-term time frame of the game because players make rational choices similar to that reported in mutual transactions among economic entities. Bachelor's thesis focuses on impact of the game of poker to origin the Game Theory and summarizes the specific features of the game. It explains its use by founders of the Game Theory as a suitable model for solving strategic situation in zero-sum games. The second part describes role of poker in economic history to its current developments. Seeking answers to the questions associated with a wide-growing popularity of the game: why people are willing to play poker, why poker is trying to change a position of gambling game and be taken as a sport activity. In this part, I also have used the model of Friedman-Savage utility function to point out the motivation of profesional poker play to make a living through playing poker. The last part of the work deals with the development and expansion of online poker. It describes the regulation, security answers and legal obstacles which have been arisen by its dynamic development in the market in recent years.
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Model of the extensive form game with the financial rewards
Erbsová, Markéta ; Dlouhý, Martin (advisor) ; Rada, Miroslav (referee)
The aim of this Bachelor thesis is the analysis and presentation of the original extensive form game with the financial rewards, which is called Výměna (Exchange). In the theoretical part we will describe the basic concepts of Game Theory, especially the game in an explicit form. In the practical part we will deal with the game Výměna (Exchange) in itself. Determine the rules of the game, the graphic form of the game and formulate a mathematical model of the game. Individual parts of the game will be described in more details. No less important part of this Bachelor thesis will be the characteristics of the game, which outline the possible use of the game in practice.
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Random walk and game theory
Vondrušková, Ivana ; Malá, Ivana (advisor) ; Novák, Ilja (referee)
A random walk is a mathematical formalization of a trajectory that consists of taking succesive random steps. The results od random walk analysis have been applied to computer science, economics, biology tec. This thesis is concentrated on connection between random walk and games theory especially with thinglering simulation. The application part of this thesis is focused on game strategies, that determine the amount of bet in next game.
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Signaling games and their applications
Uhlířová, Jarmila ; Dlouhý, Martin (advisor) ; Zouhar, Jan (referee)
Signaling games are part of games with imperfect information. The games with imperfect information mean that the player doesn't know all moves of players, which played before him. The signaling game as such are interesting because some players have more information than the others. The better informed group of players can indicate to uninformed players what they know and wait how the opponents react. Generally the move which uninformed party takes influence all players. In my papers I want to describe main rules for signaling games, show possible ways how to solve this kinds of problems and use this new knowledge in aplication on problem which can be usable in practices.
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Opakované hry
Skálová, Alena ; Dlouhý, Martin (advisor) ; Jaček, Martin (referee)
Diplomová práce se snaží poskytnout ucelený pohled na známé poznatky z oblasti teorie opakovaných jako části teorie her. Teoretická část se zabývá předpoklady, výpočetními principy a rovnovážnými strategiemi pro opakované hry. V praktické části je teorie aplikována na oblast petrochemického průmyslu, konkrétně na konkurenci dvou čerpacích stanic v rámci prostorově vymezeného trhu.
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