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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Evolutionary games and their applications to economic conflicts
 Kuzmiak, Maroš ; Kopa, Miloš (advisor) ; Lachout, Petr (referee)
At the beginning of my Master's thesis we define basic terms such as payoff, strategy, best reply and Nash equilibrium. Furthermore, we introduce the population perspective, in which during a random meeting of a pair of players, these players interact according to their strategies and they receive payoffs. We define the criterion of evolutionary stability, which shows a link between payoffs in the game and strategy spreading among population. The most common description of this evolution is based on the replicator equations. We analyze their basic properties and examine the relationship between the stationary points of this system and the concepts of Nash equilibrium and evolutionary stability. In the following practical part, we apply the introduced theory to model the Cournot duopoly. Its aim is to analyze the model characteristics in terms of evolutionary stability and to determine the duopolist's behavior in the long run.
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Application of game theory on oligopoly structures
 Kuzmiak, Maroš ; Kopa, Miloš (advisor) ; Lachout, Petr (referee)
This bachelor thesis is devoted to the games theory and its application to economic models of oligopolies. We focus on determining optimal strategies in non-cooperative conflict and on the issue of coalitions forming and rewards redistribution in cooperative conflict. Lessons learned and characteristics obtained are afterwards applied to different models of oligopolies. Individual chapters are supplemented by short numerical examples which are used to demonstrate the explained theory. The application of this work is to be found in areas where conflict situations are modeled using the knowledge on the choice of optimal strategies.
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See also: similar author names
1 Kuzmiak, Marián
1 Kuzmiak, Martin
1 Kuzmiak, Michal
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