Complex-Valued Modeling in Economics and Finance

Нью-Йорк : Springer, 2012.

Sergey Svetunkov

The present study generalizes the results of scientific research in the field of economic and mathematic simulation using elements of the theory of functions of complex variables (TFCV), which was conducted since 2004 under the author’s scientific supervision. Since the new results significantly extend the instrumental basis of scientific research in economics and possess their own theoretical base and logic, this section of economic and mathematic simulation was called “complex economics”. The study provides the fundamentals of this new scientific direction in economics and demonstrates how to use this theoretical base to build new economic and mathematic models that appear to be more adequate than models of real variables.

Most economists are absolutely unfamiliar or slightly familiar with the theory of functions complex variables. This is why, in this study, we would state briefly some provisions of this theory to get the reader acquainted with TFCV, and then formulate sequentially the principles of the theory of complex economy, its axiomatic core, basic conceptual positions of the theory, methods and models of the complex economics. Where necessary, theoretical provisions are verified by examples from the real economic practice.

The study is targeted at scientific workers, post-graduate students and doctors using economic and mathematic simulations in their activity.

Ключевые слова: business process modeling, forecasting model, complex-valued models