The anharmonic electron-phonon problem is solved in the infinite-dimen
sional limit using quantum Monte Carlo simulation. Charge-density-wave
order is seen to remain at half filling even though the anharmonicity
removes the particle-hole symmetry of the model. Superconductivity is
strongly favored away from half filling but the anharmonicity does no
t enhance transition temperatures over the maximal values found in the
harmonic limit.