On the Applying of "Greedy Sum" Concept to the Theory of Money and Optimal Management Theory. Part 2. General Ideas on the Dynamics of Money
Model of substantive world money ( model of money as a function of state of global economy) being constructed not only from perspective of the sphere of circulation, but also from perspective of economic growth, is realized as a flow of coupled resource-structural money systems dependant on time. The author argues that consistent formal description of economic growth can be realized within coupled eco-economic system which contains parameterization not by goods and services in the form of global demand, but by resources or autotrophy-ecological utility of individual investment and consumption, and energy efficiency in relative values terms as a factor of growth. The problem of additivity in economic analysis is approached with application of “greedy-sum” concept and “greedy zeta-function of array” (Evgeny Shchepin 2004, 2011) which is considered as the energy function of the world economic system. Formal links with optimal control theory are established with control parameter being the number of employed in eco-oriented industries. Principle of invariance of macro-economic regulation together with the principle of effective employment as full employment under compensatory use of resources are considered as being fundamental to characterize the geo-ecological global economy of a new type. Theory of money as a function of state of the global economic system allows to achieve ecological rationality, not opposing ecological and economic aspects in the context of sustainable development, but synthesizing them in а constructive way. Model can be seen as practical analytic tool in macroeconomic regulation and financial markets issues, as well as in providing strategic view on perspectives in global economic integration and world single currency project.