Disclosed is a method and system for allocating power among concurrent transmission attempts from a radio access network (RAN). In practice, the RAN encounters a situation where the RAN is going to engage concurrently in at least a transmission attempt of a first message and a transmission attempt of a second message. The RAN then determines an attempt number of the first transmission attempt and an attempt number of the second transmission attempt. The RAN then compares the determined attempt numbers and, based on the comparison, allocated a limited quantity of transmission power among the first transmission attempt and the second transmission attempt. For instance, based the comparison a greater portion of the transmission power may be allocated to one of the transmission attempts and a correspondingly lesser portion of the transmission power may be allocated to the other transmission attempt.