论文标题
离散市场上的空间竞争模型
Model of spatial competition on discrete markets
论文作者
论文摘要
我们在空间市场上提出了一个动态的价格形成模型，将卖方和买家放在图表的节点上，而买家的分布取决于卖方的头寸和价格。我们发现，根据卖方的位置和可用信息级别，我们的模型的价格动态可以收敛到固定价格，或者产生不同幅度和时期的周期。我们通过以系统规模提取价格缩放的指数来展示如何衡量空间网络中的竞争强度。作为一个应用程序，我们表征了全球真实城市街头网络中不同水平的竞争。最后，使用模型动力学，我们可以定义一个新颖的节点中心度度量，该衡量量量化了竞争市场中节点的相关性。
We propose a dynamical model of price formation on a spatial market where sellers and buyers are placed on the nodes of a graph, and the distribution of the buyers depends on the positions and prices of the sellers. We find that, depending on the positions of the sellers and on the level of information available, the price dynamics of our model can either converge to fixed prices, or produce cycles of different amplitudes and periods. We show how to measure the strength of competition in a spatial network by extracting the exponent of the scaling of the prices with the size of the system. As an application, we characterize the different level of competition in street networks of real cities across the globe. Finally, using the model dynamics we can define a novel measure of node centrality, which quantifies the relevance of a node in a competitive market.
