We study evolutionary learning processes through social networks. We show that network heterogeneity, in particular scale-freeness, enhances social learning by studying a model in which an agent set on a network imitates the strategy only from the neighborhood. Further, in order to determine...

We study a condition of favoring cooperation in a Prisoner's Dilemma game on complex networks. There are two kinds of players: cooperators and defectors. Cooperators pay a benefit b to their neighbors at a cost c, whereas defectors only receive a benefit. The game is a death-birth process with...

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 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 introduce the knowledge spillover equation on a network. We construct a tool to investigating the knowledge spillover in terms of network. The mean-filed asymptotic solution of the equation has the following characteristics: (1) the growth rate is common for all agents on the network...

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...