In this paper, we study imperfect competition on a scale-free network. A scale-free network is not exceptional but rather ubiquitous in reality. For this purpose, we construct a class of utility functions, from which relationships between firms in the form of networks are derived. A regional...

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...