System of difference equations and their applications in economic models
|Author:||Bc. Ivan Kutasov|
|Year:||2009 - summer|
|Leaders:|| doc. RNDr. Ondřej Kalenda Ph.D., DSc.
|Work type:|| Bachelors
|Awards and prizes:|
|Abstract:||This work is focused on the use of systems of linear differential equations in economic models, especially in the model Cournot oligopoly.
In the first chapter we describe the basic mathematical apparatus, which will be used to explore the model. We present the methods of solution and stability analysis of systems of linear differential equations.
In the second chapter we apply the theory to a simple example of Cournot oligopoly and investigate behavioral of the model and try on its modification.