  The Fair Proportion of a species in a phylogenetic tree is a very simple
measure that has been used to assess its value relative to the overall
phylogenetic diversity represented by the tree. It has recently been proved by
Fuchs and Jin to be equal to the Shapley Value of the coallitional game that
sends each subset of species to its rooted Phylogenetic Diversity in the tree.
We prove in this paper that this result extends to the natural translations of
the Fair Proportion and the rooted Phylogenetic Diversity to rooted
phylogenetic networks. We also generalize to rooted phylogenetic networks the
expression for the Shapley Value of the unrooted Phylogenetic Diversity game on
a phylogenetic tree established by Haake, Kashiwada and Su.
