  We calculate the new dinamic exponent $\theta $ of the 4-state Potts model,
using short-time simulations. Our estimates $\theta_{1}=-0.0471(33)$ and $%
\theta_{2}=$ $-0.0429(11)$ obtained by following the behavior of the
magnetization or measuring the evolution of the time correlation function of
the magnetization corroborate the conjecture by Okano et. al. In addition,
these values agree with previous estimate of the same dynamic exponent for the
two-dimensional Ising model with three-spin interactions in one direction, that
is known to belong to the same universality class as the 4-state Potts model.
The anomalous dimension of initial magnetization $% x_{0}=z\theta +\beta /\nu $
is calculated by an alternative way that mixes two different initial
conditions. We have also estimated the values of the static exponents $\beta $
and $\nu $. They are in complete agreement with the pertinent results of the
literature.
