APPLICATION OF DISCRETE AND CONTINUOUS ECONOMIC-MATHEMATICAL MODELS TO THE ANALYSIS OF MARKET EQUILIBRIUM DYNAMICS
Анотація
This study is devoted to the development of a methodology for studying economic and mathematical models that describe the dynamics of establishing market equilibrium. It proposes to distinguish between discrete and continuous models of establishing economic equilibrium in the market, emphasizing the key differences between dynamic equilibrium models and static ones. This approach will allow building high-precision models using relevant mathematical tools, as well as developing effective software algorithms for their implementation. The article emphasizes that, both for dynamic economic and mathematical models in general and for market equilibrium models in particular, time is a mandatory parameter. In addition, an important aspect is the dynamics of the economic process itself (in this case, the process of establishing market equilibrium), namely its "jumpiness" in time. This determines whether the model under study is discrete or continuous. This scientific work does not aim to cover the full range of all known economic and mathematical models of market equilibrium dynamics – instead, based on a number of examples of such models, it seeks to advance in creating an effective approach to the selection and use of such mathematical and computer tools that would allow saving maximum resources for the implementation of the models under study. Key words: economic and mathematical model, discrete analysis, economic dynamics, market equilibrium, differential and difference equations.
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