Markov’s models of economic systems

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The article describes the problems of development of stochastic models of economic systems based on Markov’s random processes with discrete conditions and discrete time. The concept of economic system is detailed. As a system parameter, characterizing its condition, such informative parameters as sales volume and added value are proposed. The article investigates such conditions with the help of which the stage length of the economic system is defined: at the stage length the system when transferring to the neighbor condition shall manage to do this transfer; probability of several transitions at the stage should present a small value which can be neglected. General events that can change the probability of economic system transition to the new stage are specified in the article. Stochastic models, considered in the article, create an essential base for designation of evolution of system conditions distributions through time, strategy selection, maximizing system parameters and the analysis of economic stability of the system. The analysis of economic stability is connected with expected movements of the system. Stability characteristics are the following: system location in effective conditions on every step of calculation and entering of accumulated during the forecast period value into the target area.

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Economic system, system condition, phase space of system condition, sales volume, economic system evolution, modeling, stochastic model, random process, markov chain, economic stability

Короткий адрес: https://sciup.org/147156170

IDR: 147156170   |   DOI: 10.14529/em090314

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