  A kinetic approach to the notion of information is proposed, based on
Liouville kinetic theory. The general kinetic equation for the evolution of the
N-particle information $\mathcal{I}_N$ in a Hamiltonian system of large
particle number $N\gg 1$ is obtained. It is shown that the $N$-particle
information is strictly conserved. Defining reduced particle number information
densities in phase space should be possible to obtain a kinetic equation for
the ordinary one-particle information $\mathcal{I}_1\equiv \mathcal{I}$
following the Bogoliubov prescription. The kinetic equation for $\mathcal{I}$
is a kind of generalized Boltzmann equation with interaction term depending on
the hierarchy of reduced informations. This term in its general form is the
most general expression for the Kolmogorov entropy rate of evolution of the
information.
