We analyze fundamental characteristics of the inter-firm transaction network through the data of 800,000 Japanese firms. We find that there exists a hierarchical structure and a negative degree correlation in this transaction network. We also find that this undirected network is a scale-free...

We study an imperfect quantity competition on networks that represent rivalry relationships among firms. We show that the more heterogeneous the underlying network is, the more the output and the price are. The output and the price on scale-free networks are counter-intuitively the same as those...

We present an alternative explanation of the logit probabilistic choice from the equal likelihood hypothesis without the Gumbel distribution. The hypothesis is that if the total utility values from combinations of actions are the same, all such combinations of actions are equally likely.