Mathematical Models in Economics
Mathematical Models in Economics
Keywords: modelling; economical dynamics; optimal growth; algorithms in macroeconomic policy; statistical model extension; neural network
Mathematical Models in Economics - has been put together with the purpose of giving an example of the possibilities to use specific modern methods (optimal control, neural networks, data envelopment analysis, wave equations, dynamical systems) that can be put into application on a very large scale, in numerous key-areas of the field of economics. Various analysis regarding the static case are made for a more profound understanding of the correlations that arise between different variables in micro and macroeconomics, and they are made as well taking into account the dynamic case, which brings this paper even closer to reality. Furthermore, another subject rendered by the book is that of economic mechanisms from a stochastic point of view (this is especially explained in the chapters regarding the game theory) which prove once more the random character of economic variables. From the multitude of mathematical models regarding the dynamic of different economic variables, this book includes: allocation models, regional growth, dynamic models of the cycle of commerce, others models concerning the crisis of the Euro zone, decision making models or advertising models. While some may be thoroughly analyzed, others reflect only a summarized matter of the problem.
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