The present invention relates a User Equipment, UE (204) and a Radio Base Station (202, 206) and methods therein for contention resolution in general. Based on measured and analyzed measurements of a radio connection establishment response from each of at least a first and a second Radio Base Station, a UE receiving said radio connection establishment response can resolve the contention by selecting a RBS based on the received power of a set of DL reference signals as received by the UE, of the received power of the radio connection establishment responses, on timing of the received sets of reference signals, on timing of the radio connection establishment responses, on historic RBS selections, on priority level of the RBS, to mention a few alternatives.