  In this note we prove that every weak Gibbs measure for an asymptotically
additive sequences is a Gibbs measure for another asymptotically additive
sequence. In particular, a weak Gibbs measure for a continuous potential is a
Gibbs measure for an asymptotically additive sequence. This allows, for
example, to apply recent results on dimension theory of asymptotically additive
sequences to study multifractal analysis for weak Gibbs measure for continuous
potentials.
