Exponential random graph models for the Japanese bipartite network of banks and firms


We use the exponential random graph models to understand the network structure and its generative process for the Japanese bipartite network of banks and firms. One of the well-known and simple models of the exponential random graph is the Bernoulli model which shows that the links in the bank–firm network are not independent from each other. Another popular exponential random graph model, the two-star model, indicates that the bank–firms are in a state where the macroscopic variables of the system can show large fluctuations. Moreover, the presence of high fluctuations reflects a fragile nature of the bank–firm network.

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    x and \(x'\) are network states at simulation steps t and t+1, respectively.


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Correspondence to Abhijit Chakraborty.

Additional information

This research was supported by MEXT as Exploratory Challenges on Post-K computer (Studies of Multi-level Spatiotemporal Simulation of Socioeconomic Phenomena, Macroeconomic Simulations). This research used computational resources of the K computer provided by the RIKEN Center for Computational Science through the HPCI System Research project (Project ID: hp180177).

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Chakraborty, A., Krichene, H., Inoue, H. et al. Exponential random graph models for the Japanese bipartite network of banks and firms. J Comput Soc Sc 2, 3–13 (2019). https://doi.org/10.1007/s42001-019-00034-y

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  • Exponential random graph
  • Bipartite network
  • Bernoulli model
  • Two-star model