The theory of redistribution systems is a practical extension of a game theory, which deals with a redistribution within a social system of more than two players with di?erent performances and ability to create coalitions. This thesis is divided into three chapters. The ?rst chapter describes the known knowledge of a game theory. The second chapter deals with the theory of redistribution systems. Using an elementary redistribution system and its generalization group behaviour when dividing a payment, achieved by a collective performance, is described. This part introduces the extension of the redistribution system to a compound redistribution system with a fractal structure. Furthermore the theory of discriminatory equilibrium and the theory of commonly acceptable equilibrium are veri?ed using the elementary redistribution system and utility theory. The third chapter deals with an application to the allocation of funds among faculty departments. A game theory approach was used to reduce the game to a non-cooperative game of two players by using the forming of coalitions. Also the theory of redistribution systems was applied when a reduction was used to create a non-cooperative two-player game. This reduced non-cooperative game between two players was converted to a cooperative play of more than two players by changing the rules of the game and allowing a formation of coalitions. In the practical part both of these approaches are compared with real data and a current state.

Regarding the existence of nuclear weapons, which were never used all over atomic bombings of Nagasaki and Hiroshima as a tool of war against civilian or military targets during the Cold War, I try to give an explanation of "armed peace". I consider the question of why the two superpowers (the USA and the USSR) didn't start a "hot war" that would have been more likely nuclear. As an example of the most critical event will serve me Cuban Missile Crisis, with which can be the description of it understood in broader context. The paper points to the interrelations of opposing ideologies that related to atomic weapons have often drawn the same conclusions. I examine the military-strategic value of the atomic bombs which have shaped international relations troughtout the second half of the twentieth century. Besides the military aspects I also mention economic interpretation of the nuclear arms race and economic potential of the USSR and the USA. Why have in the first instance occured one-sided and than gradually overall disarment, reducing the number of nuclear warheads? I try to documented the explanation out of historical events also by using teoretical models.

The main objective of this diploma thesis is to design and develop a cloud hosted service that allows developers of games for Windows Phone 7 platform to extend their products with social and competitive aspect using Platform as a Service solution Windows Azure for hosting the backend of this system. The first part of the thesis analyses systems that are available on the market and that are providing similar services for the target platform. Based on this analysis, functional and general requirements for the future application are specified in the second part. Based on these requirements, use case analysis is made. The third part of the thesis is dedicated to description of the most important features, APIs and specifics of the Windows Phone 7 software platform. The fourth part is dedicated to Windows Azure as a Cloud platform both in terms of most important services, their characteristics and APIs used to utilise them and in terms of their business and pricing conditions. The fifth part addresses the architecture and the most important implementation details of the application. The final part contains the user guide for both the Windows Phone 7 application and for developers interested in using the library containing the API during the development of their game. The output of this thesis is the designed and implemented application with client-server architecture ready to have its backend deployed in Windows Azure environment and to have its frontend deployed on Windows Phone 7 devices. The client part of the system is comprised of a library intended for developers of games, which encapsulates the API needed to access the backend on the Internet, and a graphic frontend intended for end users. The server part, which contains most of the application logic, has REST interface. The applications architecture allows future development in terms of new functionality and expansion on more client platforms.

Thesis uses game theory to explain behavior of certain states in the European sovereign-debt crisis. The goal is to find out, if those states use strategies leading to equilibrium i.e. if they maximize their expected utility. Theoretical part is based mainly on repeated games and Bayesian game. Thesis summarizes development of European sovereign-debt crisis and key economic indicators. It constructs a game model of the crisis and further analyses situation of Germany, France, Italy, Spain and Greece as players in the game. The game model is then tested on key conflict situations such as relations of France and Germany, first Greek bailout negotiations or Spanish bank bailout negotiations. The results show that chosen states do maximize their expected utility in one election period. However maximization of utility in two or more election periods is limited by the parameters of democratic election system - length of election periods and information asymmetry between voters and politicians. The costs of elimination of information asymmetry would be higher than the costs of debt crisis. So even considering the costs of debt crisis the states are in long term equilibrium.

This diploma thesis deals with conict economic situations based on game theory. In the beginning, basic models of conict situations and current popular software tools are dened not only for the general support of student education or for science, but also for solving economic problems in game theory. Based on this analysis, the conicting situation of two competing rms is being solved. Gradually, work goes deeper into areas of delay dierential equations that better show the behavior of two players on the market. Subsequently, these delayed dierential equations are projected into the Cournot model, for which a critical value is identied that switches the stability of two rms on the market due to the delayed realization of their outputs.

This Master’s thesis deals with the application of cooperative game theory for solving the problems of Cournot's oligopolies. The knowledge of oligopoly theory and game theory has been elaborated to build a model describing the behavior of companies at a market that meets the preconditions of Cournot's oligopoly. The definition of cooperative game is based on the -characteristic function, which takes into account, compared to classical methods, that companies which are not in the coalition are pursuing their own profits, not suppressing coalition positions. The properties of the resulting cooperative games are examined in detail, focusing on monotony and convexity. Several theorems about these properties have been derived and their economic interpretations are given. Also, the question of calculation of the -characteristic function using the best-reply dynamics algorithm is being solved, and its convergence for a given type of games is justified. The model is applied to data from the oil market, which is further characterized by the results of the cooperative game.

This thesis describes the process of creation of a game for web browsers using Babylon.js framework. It also touches on subjects of 3D graphics on the web, 3D animation and structure of web applications. Game itself is created using Typescript language and it is shared using a Node.js module as its web server. It is a fighting game for two players, where their characters fight using martial arts.

Tato práce se zabývá současnými trendy v aplikaci teorie her k tvorbě ekonomických modelů, které se následně využívají při ekonomickém rozhodování s podporou prostředků informatiky. Práce se zejména opírá o poznatky teorie statických a dynamických her a her s dokonalými a nedokonalými informacemi. Zkoumány jsou modely týkající se sdílení zdrojů, aukcí a managementu. Pro každý z popsaných modelů je prezentována konkrétní aplikace.

This work presents a design and implementation of graphic user interfaces for board games. The objects of the investigation were various types of board games and graphic effects for virtual board game scene. We have developed a user interface design for different games. In the following sections the OpenGL ES library and its application to the Android platform are characterized. We explored the possibility of implementation in the native code. We have developed a system for plug-ins that allows implementing game logic in scripting language and defining the virtual scene for board game in XML language.

Thesis is focused on evaluation of available tools for 3D application development. In one selected tool (Blender) is created computer game. This game demonstrates Blender's capabilities. The process of creating is recorded in a case study for the possible purposes of own complex games development.