Information Application in Systems: Research, Models, and Problems

The article devoted to the "information paradox," which originated in economic theory and formulated back in 1980s by Nobel Prize laureate Robert Solow. Author tries to explain this paradox from a broader perspective of modern systems sciences, cybernetics, and action theory. The aim is to develop a mathematical model of information application, leading to accurate predictions of its impact, based on formal modeling. I propose a graph-theoretic means to represent possible sequences of complex states and transitions which appear due to information application. This model is further used for creation of algebraic and programming code models, enabling the calculation of quantitative success measures for information application during system's functioning and the assessment of entropy change caused by information utilization. The article outlines various research directions related to the creation of mathematical models for information application. New approach presented to resolve the Solow paradox by mathematical modeling of information application results.