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Game of Markets
Dóczy, Aneta ; Novotná, Veronika (referee) ; Chvátalová, Zuzana (advisor)
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.
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Rapid research with computer algebra systems
Fischer, Cyril
Computer algebra systems (CAS) are gaining popularity not only among young students and scholars but also as a tool for serious work. These highly complicated software systems, which used to just be regarded as toys for computer enthusiasts, have reached maturity. Nowadays such systems are available on a variety of computer platforms, starting from freely-available on-line services up to complex and expensive software packages. The aim of this review paper is to show some selected capabilities of CAS and point out some problems with their usage from the point of view of 25 years of experience.
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Game of Markets
Dóczy, Aneta ; Novotná, Veronika (referee) ; Chvátalová, Zuzana (advisor)
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.
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Matematický systém Maxima a jeho možné využití ve výuce na Fakultě managementu
Hirš, Jan ; Jelínek, Jiří (advisor)
V práci je zkoumán, testován a hodnocen matematický program Maxima. Je zde obsaženo základní srovnání programu s nejznámějším matematickým softwarem. Dále je zde podrobný popis vlastního programu Maxima,jeho jednotlivých aspektů a charakteristik. V neposlední řadě práce obsahuje podrobný popis jednotlivých funkcí programu Maxima, v rámci srovnávání se současně používaným softwarem Derive, včetně praktických ukázek.
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