  In this letter, we investigate the dynamic network service provider (SP) and
service selection in an intelligent reflecting surface (IRS)-assisted wireless
network. In the network, mobile users select different network resources, i.e.,
transmit power and IRS resources, provided by different SPs. To analyze the SP
and network service selection of the users, we formulate an evolutionary game.
In the game, the users (players) adjust their selections of the SPs and
services based on their utilities. We model the SP and service adaptation of
the users by the replicator dynamics and analyze the equilibrium of the
evolutionary game. Extensive simulations are provided to demonstrate
consistency with the analytical results and the effectiveness of the proposed
game approach.
