  We make a case for setting initial conditions for inflation at the Planck
epoch in the kinetically dominated regime. For inflationary potentials with a
plateau or a hill, i.e. potentials that are bounded from above within a certain
region of interest, we cannot claim complete ignorance of the energy
distribution between kinetic and potential energy, and equipartition of energy
at the Planck epoch becomes questionable. We analyse different classes of
potentials in phase-space and quantify the fraction of the Planck surface that
is kinetically dominated. For the small amplitudes of the potentials as
suggested by current data, the Planck surface lies in the region of kinetic
dominance for almost all values of interest of the inflaton field.
