论文标题

经济危机的互动代理模型

An Interacting Agent Model of Economic Crisis

论文作者

Ikeda, Yuichi

论文摘要

大多数国民经济与国际贸易联系在一起。因此,经济全球化形成了一个庞大而复杂的经济网络,其牢固的联系,即贸易增加而产生的相互作用。预计在贸易自由化下的全球经济中的强烈经济互动中,预计各种有趣的集体动议将出现。在各种经济集体动议中,经济危机是我们最有趣的问题。在我们先前的研究中,我们透露,库拉莫托的耦合极限循环振荡器模型和网络上的类似Ising的旋转模型是表征经济危机的宝贵工具。在这项研究中,我们开发了一种数学理论来描述一种相互作用的代理模型,该模型通过使用适当的近似值来衍生库拉莫托模型和类似Ising的旋转模型。我们的相互作用代理模型建议在经济危机期间的同步和旋转顺序。我们通过分析各种经济时间序列数据来确认经济危机期间阶段同步和旋转顺序的出现。我们还基于熵最大化开发网络重建模型,该模型考虑了网络的稀疏性。在这里,网络重建是指从节点的本地信息中估算网络的邻接矩阵。使用开发的模型对银行间网络进行重建,并与重建网络与实际数据进行比较。我们成功地复制了银行间网络和已知的风格化事实。此外,估计在供应链网络和金融部门的工业社区上作用的外源性冲击。估算供应链网络中实际经济社区的外源性冲击,提供了遇险渠道通过供应链网络传播到真实经济的遇险渠道的证据。

Most national economies are linked by international trade. Consequently, economic globalization forms a massive and complex economic network with strong links, that is, interactions arising from increasing trade. Various interesting collective motions are expected to emerge from strong economic interactions in a global economy under trade liberalization. Among the various economic collective motions, economic crises are our most intriguing problem. In our previous studies, we have revealed that the Kuramoto's coupled limit-cycle oscillator model and the Ising-like spin model on networks are invaluable tools for characterizing the economic crises. In this study, we develop a mathematical theory to describe an interacting agent model that derives the Kuramoto model and the Ising-like spin model by using appropriate approximations. Our interacting agent model suggests phase synchronization and spin ordering during economic crises. We confirm the emergence of the phase synchronization and spin ordering during economic crises by analyzing various economic time series data. We also develop a network reconstruction model based on entropy maximization that considers the sparsity of the network. Here network reconstruction means estimating a network's adjacency matrix from a node's local information. The interbank network is reconstructed using the developed model, and a comparison is made of the reconstructed network with the actual data. We successfully reproduce the interbank network and the known stylized facts. In addition, the exogenous shock acting on an industry community in a supply chain network and financial sector are estimated. Estimation of exogenous shocks acting on communities of in the real economy in the supply chain network provide evidence of the channels of distress propagating from the financial sector to the real economy through the supply chain network.

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