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Application of cooperative game theory in Cournot oligopoly
Eryganov, Ivan ; Mazal,, Jan (referee) ; Hrdina, Jaroslav (advisor)
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.
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Coalition Theory for Cournot's Oligopoly Model
Eryganov, Ivan ; Osička, Ondřej (referee) ; Hrdina, Jaroslav (advisor)
This bachelor thesis is devoted to the basic theoretical aspects of game theory, to the behavior of firms in oligopoly conditions and to the building of theory which describe behaviour in cooperative oligopoly games for Cournot's oligopoly. At this work are explained important definitions and they properties are demonstrated in the examples. Further work is focused on cooperative oligopoly games, describing their properties and defining a -characteristic function. Procedure of computing it and the description of some properties of cooperative oligopoly games are demonstrated on two examples.
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Game Theory in Waste Management
Eryganov, Ivan ; Hoff, Arild (referee) ; Kopa, Miloš (referee) ; Hrdina, Jaroslav (advisor)
Teorie her se zabývá temáty, jako je spolupráce, konkurence a seberegulace v prostředí, kde je zapojeno mnoho entit s protichůdnými cíly. Rozdílné zájmy jsou běžné při řešení environmentální udržitelnosti a oběhového hospodářství. Tato Ph.D. práce je věnována aplikacím teorie her v odpadovém hospodářství s důrazem na energetické zpracování nerecyklovatelného odpadu. Po úvodu je shrnuto základní pozadí teorie her, které poskytuje přehled o součásném stávu poznání. Poté jsou přezkoumány novodobé aplikace metod teorie her v problematice udržitelnosti, aby se zdůraznila aktuálnost práce. V závěru je uveden vlastní přínos autora v aplikaci nekooperativních a kooperativních her v oblasti odpadového hospodářství. Konkretně je Ph.D. práce zaměřena na hru o stanovení cen zařízeními pro energetické využití odpadů a hru o minimalizaci nákladů producentů odpadů. Jsou podrobně studovány teoretické vlastnosti těchto her. Pro řešení uvažovaných her jsou navrženy originální algoritmy pro problémy dvouúrovňové optimalizace a vytváření dynamických koalic. Výsledky případových studií ukazují racionální vyústění konfliktů a dokazují, že navrhované přístupy k uvažovaným problémům odpadového hospodářství jsou rozumné.
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Application of Geometric Algebras in Quantum Computing
Michálek, Jan ; Eryganov, Ivan (referee) ; Vašík, Petr (advisor)
Tato práce se zabývá využitím geometrických algeber v oblasti kvantového počítání. Nejprve je definována obecná Cliffordova algebra a následně je odvozena specifická komplexní geometrická algebra, která je vhodná pro reprezentaci kvantových výpočtů. Tento přístup je porovnán s tradiční metodou použití klasické maticové reprezentace. Cílem práce je poskytnout poznatky o potenciálních výhodách použití geometrických algeber pro kvantové výpočty.
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Application of cooperative game theory in Cournot oligopoly
Eryganov, Ivan ; Mazal,, Jan (referee) ; Hrdina, Jaroslav (advisor)
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.
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|
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Coalition Theory for Cournot's Oligopoly Model
Eryganov, Ivan ; Osička, Ondřej (referee) ; Hrdina, Jaroslav (advisor)
This bachelor thesis is devoted to the basic theoretical aspects of game theory, to the behavior of firms in oligopoly conditions and to the building of theory which describe behaviour in cooperative oligopoly games for Cournot's oligopoly. At this work are explained important definitions and they properties are demonstrated in the examples. Further work is focused on cooperative oligopoly games, describing their properties and defining a -characteristic function. Procedure of computing it and the description of some properties of cooperative oligopoly games are demonstrated on two examples.
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