  The possibility to construct an inflationary scenario for
renormalization-group improved potentials corresponding to the Higgs sector of
finite gauge models is investigated. Taking into account quantum corrections to
the renormalization-group potential which sums all leading logs of perturbation
theory is essential for a successful realization of the inflationary scenario,
with very reasonable parameter values. The inflationary models thus obtained
are seen to be in good agreement with the most recent and accurate
observational data. More specifically, the values of the relevant inflationary
parameters, $n_s$ and $r$, are close to the corresponding ones in the $R^2$ and
Higgs-driven inflation scenarios. It is shown that the model here constructed
and Higgs-driven inflation belong to the same class of cosmological attractors.
