A method of distributed control achieving fair radio resource access is proposed. The parameters used in a listen-before-talk (LBT) channel access procedure that are used to control how aggressively a node contends for channel access can be called as “Channel Access Transmission Parameters” or CAT parameters. The proposed method uses randomized CAT parameters for each traffic type, and then obtains prioritized access for some nodes at any given time and fair access averaged over a period of time. More specifically, a transmitting node can use more than one set of CAT parameters even for the same traffic type instead of conventional only use one set of CAT parameters for one traffic type. The transmitting node can use a set of CAT parameters according to a fixed schedule, a random rule, or a pseudo-random rule.