ІНДИВІДУАЛЬНІ КОЛЕКЦІЇ ВИКЛАДАЧІВ ТА СПІВРОБІТНИКІВ
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Item Mathematical Model of Microeconomic System with Different Social Responsibilities in Software Module(2017) Weissblut, A.; Kobets, V.Research goals and objectives: to study of the simplest possible mathematical model of microeconomic system with different social responsibilities of agents in accordance with agent based computational economics paradigm using a desktop application. Object of research: microeconomics system with heterogeneous agents. Subject of research: mathematical model of microeconomic system with different social responsibilities, equilibrium and disequilibrium states of the systems using desktop application. Research methods are: optimization methods, bifurcation analysis, stability analysis, simulation methods, game theoretic approach. Results of the research: dynamic models of microeconomic system with different social responsibilities (reciprocator and selfish types) were created using specially developed desktop application. Based on software module the conditions of stability, bifurcation and analysis were obtained. As a result of numerical investigation we have found that flip bifurcations occur with increasing of firms’ number in the market. If two-thirds of firms use naive expectation, then there appears the state of dynamic chaos.Item Universal Properties of the General Agent-Based Market Model through Computational Experiments(2018) Weissblut, А.; Halutskyi, R.Research goals: to synthesize the general view market mathematical model in accordance with new dynamic paradigm of economics, to reveal the universal properties of general view markets. During our investigation we developed and continuously improved a desktop C# application Model for support the research process using computing experiments. Here our task is revelation of the universal properties of general view market as a result of simulation experiments using this software module. Results of the research: the crucial factors which ensure the market stability are the level of agreement in adaptive expectations and the share of planning with adaptive expectations in a market. The increase of naive expectations leads to stability loss, to bifurcations and finally to chaos in general view market. The increase of number of firms also leads to stability loss and finally to chaos in the general view market at appreciable naive expectations. We revealed that the profits ratio and quantity outputs ratio of firms remains almost unchanged in short-run period in general view markets. It seems an important stability factor of many important real markets for which chaotic dynamics is usual.