| The progress of global investment and trade relationships has profoundly affected international economic situation.In particular,the economic crises has caused tremendous losses,which have affected many countries and have formed tremendous impacts and challenges on the economic system.Understanding the complex world economic system by analyzing the characteristics of the network structure is one of the current research hotspots.We analyze the motifs structure of the international investment and trade networks,and improve the DebtRank algorithm to analyze the economic crisis propagation,details as follows:1)By selecting the international investment and trade data sets of 206 countries from 2001 to 2016,we build directed and weighted networks.We introduce a high-order clustering method based on motifs,and apply it to community detection.By extracting the top network of international investment and trade networks,and using the motifs-based clustering algorithm,we can get the relative structural importance of each country.2)We improve the DebtRank algorithm to make it more suitable for international investment and trade networks.The improved DebtRank can measure countries’ importance when the crisis occurs.There is a non-linear relationship between country’s DebtRank and GDP.We find that countries with more capital usually have higher DebtRank,which indicates that a country with strong economic strength may also plays a more important role in the networks.According to the comparisons of DebtRank of IIN and ITN,we further find that countries with relatively strong economic strength is more vulnerable to the financial crisis in IIN.3)Based on the improved DebtRank model,we take countries as origin of crisis to research the importance of countries through the simulation of their propagation process.Further,country’s infection ability is characterized by the number of infected countries and the extent of crisis.Finally,based on the crisis propagation process initiated by the United States,by making some intervention and protection to the network structure,we research the reduction of crisis.We find protecting China in trade network has minimal impact,and there is a positive correlation between intervention effects and the value of degree,GDP,DebtRank. |
