Power in network structures based on simulations

Abstract

Power evaluation in networks has been studied by many scientists. The problem has been usually considered from different areas as the problem of decision making by a group of agents, the problem of epidemic spreading, etc. Based on the intuition that a node becomes affected if its individual threshold is exceeded, we present a model how to measure the influence. The model considers chain reactions in a network and takes into account individual characteristics and the group influence of nodes as well as indirect interactions between them. Our main focus is to evaluate a pairwise influence between nodes and reveal the most powerful elements.