  The Public Good index is a power index for simple games introduced by Holler
and later axiomatized by Holler and Packel, so that some authors also speak of
the Holler--Packel index. A generalization to the class of games with
transferable utility was given by Holler and Li. Here we generalize the
underlying ideas to games with several levels of approval in the input and
output -- so-called $(j,k)$ simple games. Corresponding axiomatizations are
also provided.
