The equilibrium joining probabilities for a single primary-user (PU) and secondary-users (SUs) in the case of no-information, and the equilibrium Nash balance thresholds for PU and SUs to join the system in the cases of partial-information and full-information observed by PU and SUs are...

Pay-for-priority is a common practice in congestion-prone service systems. In many applications, customers are allowed to pay and upgrade to priority at any time of their stay in the queue, even if they choose not to do so initially. However, this dynamic in-queue priority-purchasing behavior of...