  In recent years, the axiomatic approach to centrality measures has attracted
attention in the literature. However, most papers propose a collection of
axioms dedicated to one or two considered centrality measures. In result, it is
hard to capture the differences and similarities between various measures. In
this paper, we propose an axiom system for four classic feedback centralities:
Eigenvector centrality, Katz centrality, Katz prestige and PageRank. We prove
that each of these four centrality measures can be uniquely characterized with
a subset of our axioms. Our system is the first one in the literature that
considers all four feedback centralities.
