No, users should not bring or install their own wireless routers.
By placing a wireless access point on ResNet, you are exposing the network to possible security threats from non ResNet users. Also, the more users connected to your access point, the slower your connection will become.
If you install a wireless router and any incidents (email threats, security incidents, network outages caused by misconfigured devices) happen and it is concluded that it was coming from your device, you will be held responsible for these potential problems.