  Intelligent reflecting surface (IRS) has emerged as a promising and
revolutionizing technology for future wireless networks. Most existing IRS
studies focus on simple cooperative systems which usually have a single
frequency band. In realistic non-cooperative multi-band networks, however, the
existing IRS designs may be not applicable or have severe performance
degradation. Thus, in the complex network environment, it is more rational to
consider IRSs as public resources to be dynamically allocated to appropriate
users. In this paper, we first introduce the auction theory to tackle the
resource management problem for a multi-IRS-assisted non-cooperative network.
An efficient auction algorithm framework is introduced to sub-optimally solve
this non-convex problem. Simulation result illustrates that the significant
performance improvement can be achieved by applying the auction algorithm in
the complex multi-IRS-assisted non-cooperative network.
