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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Matrix games with a random payoff
 Račko, Lukáš ; Kopa, Miloš (advisor) ; Lachout, Petr (referee)
In this thesis we study matrix games and more specifically the case when the payoff matrix is random. We present several solution models for such games, based both on characteristics of the payoff and on the theory of chance-constrained programming. In the numeric study we formulate and solve a real-world motivated problem of two electricity providers on a closed market. We use different approaches presented in the theoretical part of the thesis to find optimal strategies for both companies.
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Game Theory for Gifted Secondary School Students
 Skálová, Alena ; Hykšová, Magdalena (advisor) ; Staněk, Jakub (referee)
The thesis contains a textbook for gifted secondary school students. Its aim is to give to these students (or to their teachers) a Czech-written text covering fundamental principles in the field of game theory. In the first part we introduce the combinatorial games and some elementary methods of their solution. The second part is devoted to the game of Nim, to the Sprague-Grundy function and to the sums of the combinatorial games. It also contains a necessary introduction to the binary numeral system. In the third part we present the concept of matrix and bimatrix games. There is a lot of exercises and examples in the textbook. At the end we bring solutions to the most of them, providing the active reader with the opportunity of checking their own solutions.
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