经济制度与资源区经济协同演化建模

V. Islamutdinov, S. Semenov
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摘要

本研究旨在建立区域经济与经济制度共同演化的模型。采用的研究方法:抽象-逻辑为理论方面的研究和经验建模的共同进化;并以经济数学为发展对象,建立了自己的协同进化模型。研究结果表明:考虑了经济制度演化的建模方法,以及区域经济与经济制度的协同演化,识别了现有协同演化建模方法的优势和不足,并在logistic模型和Lotka-Volterra方程的基础上,构建了包含区域经济、“好”制度和“坏”制度三个实体的协同演化模型。该模型有三个版本:区域经济与“好”制度的共同演化、区域经济与“坏”制度的共同演化,以及三者同时共同演化的变体,其中“好”制度与“坏”制度按照“捕食者-猎物”模式相互作用,它们的累积效应决定了区域经济的发展。在MathLab中进行的数值实验表明,该模型能够反映资源生产区经济和经济制度共同演化的结果。在第一种变体中,“良好”制度促进的经济增长超过了可获得资源所决定的水平。在第二种变体中,“坏”制度对GRP产生抑制作用,导致GRP低于由资源禀赋决定的水平。在第三种变体中,“好”和“坏”制度的相互作用仍然有助于经济增长超过由资源可得性决定的水平,但会导致国内生产总值的周期性波动。
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Modeling the co-evolution of economic institutions and the economy of resource producing regions
The purpose of the study is to develop a model for the co-evolution of the regional economy and economic institutions. The research methods used: abstract-logical for the study of theoretical aspects and the experience of modeling co-evolution; and economic-mathematical for the development of own model of coevolution. The results of the study: approaches to modeling the evolution of economic institutions, as well as the co-evolution of the regional economy and economic institutions are considered, strengths and weaknesses of existing approaches to modeling co-evolution are identified, on the basis of the logistic model and Lotka-Volterra equations, an own co-evolution model has been developed, which includes three entities: regional economy, “good” institution and “bad” institution. Three versions of the model have been developed: the co-evolution of the regional economy and the “good” institution, the co-evolution of the regional economy and the “bad institution,” and a variant of the co-evolution of all three entities simultaneously, in which the “good” and “bad” institutions interact according to the “predator-prey” model, and their the cumulative effect determines the development of the regional economy. Numerical experiments have been carried out in the MathLab, which have shown the capabilities of the model to reflect the results of the co-evolution of the economy of a resource-producing region and economic institutions. In the first variant, a “good” institution promotes economic growth in excess of the level determined by resource availability. In the second variant, the “bad” institution has a disincentive effect on the GRP, as a result of which the GRP falls below the level determined by the resource endowment. In the third variant, the interaction of “good” and “bad” institutions still contributes to economic growth above the level determined by resource availability, but causes cyclical fluctuations in the GRP.
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