We predict that inner-shell ionization of more than one atom (or molecule) in a cluster, e.g. by intense free electron laser radiation, can lead to an inter-atomic decay process in which the formed vacancy states decay simultaneously, while a neighboring neutral species is ionized. This collective decay phenomenon can be regarded as a transfer of two or more virtual photons from the ionized cluster units to a neutral one. Simulations of collective decay in (4s −1 , 4s −1 ) (Kr + ) 2 Ar show that the two-virtual-photon process can be competitive with the dissociative nuclear dynamics of the doubly ionized cluster. Generality of the collective inter-atomic decay and especially its relevance for clusters of organic molecules is discussed.