基于主体的市场区模型的统计性质
Statistical properties of agent-based market area model
摘要：
提出了考虑顾客均匀分布的企业空间活动的一维程式化模型。每个公司的空间销售区域由从销售空间中切出的短间隔（大间隔）定义。在这种表示中，公司规模与其销售区间的大小直接相关。递归同步动态的经济演化的增长率是成正比的企业规模增加的任期，包括重叠的销售领域与竞争企业的领域进行了讨论。换句话说，销售区域的重叠固有地产生源自需求模式的负反馈。数值模拟集中在获得的企业规模分布发现，帕累托定律成立的自由参数的范围对应的最近邻企业之间的配对相关性达到最小值的范围。
英文摘要：
One dimensional stylized model taking into account spatial activity of firms with uniformly distributed customers is proposed. The spatial selling area of each firm is defined by a short interval cut out from selling space (large interval). In this representation, the firm size is directly associated with the size of its selling interval. The recursive synchronous dynamics of economic evolution is discussed where the growth rate is proportional to the firm size incremented by the term including the overlap of the selling area with areas of competing firms. Other words, the overlap of selling areas inherently generate a negative feedback originated from the pattern of demand. Numerical simulations focused on the obtaining of the firm size distributions uncovered that the range of free parameters where the Pareto's law holds corresponds to the range for which the pair correlation between the nearest neighbor firms attains its minimum.
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