The invention provides Quality of Service assurances in a manner expected in other media to communications over paths that include one or more wireless links. The invention combines a subnet bandwidth manager ("SBM") at an access point ("AP") to track allocations of wireless bandwidth. The invention further incorporates multiple priority levels for packet transmission in a two-prong stochastic scheme. The first prong reserves bandwidth at each of the intermediate nodes in a transmission path subject to a veto by any intermediate node. The second prong modulates the transmission probability of a packet based on the previous failed attempts at transmission and the priority level of the packet. The overall result of this hybrid scheme is to not shut out users with the lowest priority, e.g., "best effort" priority, while assuring adequate bandwidth to higher priority applications.