We present theoretical results on the high-temperature phase stability and phonon spectra of paramagnetic bcc iron which explicitly take into account many-body effects. Several peculiarities, including a pronounced softening of the {[}110] transverse (T-1) mode and a dynamical instability of the bcc lattice in harmonic approximation are identified. We relate these features to the alpha-to-gamma and gamma-to-delta phase transformations in iron. The high-temperature bcc phase is found to be highly anharmonic and appears to be stabilized by the lattice entropy.