A qualitative new stage in the development of a market economy is defined as the knowledge economy. It differs significantly from the previous stage in the formation of non-linear trends in economic development. The person responsible for the management of the economy at international, national, regional level and at the level of a business entity, must make managerial decisions in conditions of high uncertainty, influencing the development of the processes of production, distribution, exchange and consumption. It is impossible to assess the effectiveness of such projects and processes without appropriate economic and mathematical calculations. Economic and mathematical modeling is one of the most suitable and effective methods for the description of modern complex socio-economic processes and objects. The creation of mathematical models of the economy, combined with new economic solutions allows you to build knowledge about the impact of the changes without resorting to expensive empirical experiments. Thus, economic and mathematical modeling becomes a part of the economy itself. Thus, the knowledge economy as a General and somewhat abstract category can be expressed in a tangible concrete form. This can be achieved through economic and mathematical modeling of various economic processes and objects.
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