Theoretical Basis of Complex Economy

Abstract

In the first chapter of the study we state axiomatic provisions of the theory of economic modeling using methods of the theory of functions of a complex variable (TFCV). Here we state the principles of economic modeling using complex variable functions, introduce the main concepts of the theory of complex economies, and explain the essence of the basic model of the new theory of economic modeling. We show that the methods of the new modeling theory are not alternative but complementary to the existing methods of economic and mathematical modeling due to new models and modeling methods. For the reader to understand the ideas of the study the first chapter provides the data of the complex variable function theory underlying the proposed economic modeling theory. The concept of complex variable is briefly explained, and its basic properties and the essence of mathematical operations are specified, as are certain data on the Minkowsky geometry and the Laplace transform.