I. Introduction
Spectrum is a scarce and non-renewable resource, therefore with the increasing demand for wireless communications, the spectrum shortage problem becomes more and more serious. With the potential of increasing spectrum utilization, dynamic spectrum access (DSA) is regarded as a promising platform to solve the spectrum shortage problem. In DSA, wireless devices (i.e., secondary users, SUs) without interference are allowed to dynamically access unoccupied channels, which belongs to primary license holder(i.e., primary users, PUs). Most existing spectrum allocation mechanisms (e.g., [2]–[6]) in DSA assume that an auctioneer has complete knowledge about spectrum state information (e.g., spectrum is available/busy for use by SUs deterministically). However, the complete knowledge about the spectrum state information cannot be obtained all the time. Spectrum allocation problem under uncertain spectrum availability should be discussed, which refers to nondeterministic spectrum allocation [1].