市民收入不均与城市住宅价格空间分布——理论模型与数值模拟

Income Inequality between Citizens and Spatial Distribution of City Housing Prices:Theoretical Model and Mathematical Simulation

文章通过对市民收入分布特征和市民购房能力与意愿的假设,将市民收入和住宅价格结合起来,从理论上探讨了市民收入不均对城市住宅价格空间分布的影响,并进行了数值模拟。分析表明,商业聚集导致城市从中心到外围房价呈逐渐下降的外在空间规律,是由市民收入差异及其购房竞价这个"内因"实现的。收入不均程度的变化会引起城市不同区位的房价变化,市民总收入一定时,基尼系数增大会导致城市中心房价上升和边缘房价下跌;高基尼系数下出现多次购房的可能较大,这将抬高相关区位的房价。

Under the hypotheses of public income distribution and housing affordability and willingness of citizens, this paper combines incomes and housing prices, and analyzes the relationship between income inequality and spatial distribution of city housing prices by theoretical model and mathematical simulation. The analysis shows that, owing to business agglomeration, the downward trend of city housing prices from core locations to peripheral locations is eventually realized owing to income inequality between citizens and bids for housing. The changes in income inequality lead to the changes in housing prices in different locations of cities. Under constant total income of citizens, the increase in Gini coefficient will lead to the increase in housing prices in core locations and the reduction in housing prices in peripheral locations, and under higher Gini coefficient, the possibility of buying more houses will be greater, resulting in the increase in housing prices in correlative locations.