从经济区域质心到多重质心结构的优化——经济地理中心的物理逻辑

发布时间：2018-11-14 17:06

【摘要】：经济物理学形成于十几年前,其利用物理学的概念、方法以及法则研究社会或者经济系统中的问题。本文通过把区域内的资本量、社会发展红利以及经济发展水平等经济概念赋予质量、重力加速度以及力等物理概念,生成抽象的泛函经济空间,建立定向和测度的参照系,采用数理演绎和矢量积分,寻找类似物理实体质量中心的经济质心,即经济区域在经济空间上的各分量中心。在求出经济区域各分量中心情况下,通过对各分量中心进行方向余弦平方加权的算法回答了经济区域内的总经济中心在哪里的问题。设定区域上任两点到质心之间通过分量经济水平加权后的平均值差距的平方之和最小,解决了公平原则下多重经济质心结构如何优化的问题。
[Abstract]:Economic physics was formed more than ten years ago. It uses the concepts, methods and laws of physics to study problems in society or economic system. In this paper, the abstract functional economic space is generated by endowing economic concepts such as capital quantity, social development dividend and economic development level with physical concepts such as mass, acceleration of gravity and force, and the reference frame of orientation and measurement is established. By means of mathematical deduction and vector integration, the economic center of mass similar to the center of mass of physical entity is found, that is, each component center of economic region in economic space. In the case of finding out the center of each component in the economic region, the problem of where the total economic center is in the economic region is answered by using the algorithm of weighted direction cosine square to each component center. The problem of how to optimize the multi-economic centroid structure under the principle of equity is solved by setting the minimum sum of square difference between the two points of the region and the centroid of mass through the weighted average difference of the economic level of the component.
【作者单位】：兰州大学;
【基金】：国家社会科学基金项目《加快少数民族地区经济社会发展政策研究——促进西北民族地区经济发展的商业政策设计》(09XMZ038) 甘肃省统计局重大项目《甘肃区域经济联动与协调发展研究》
【分类号】：F069.9

【参考文献】