Bluetooth headset multiple phones

technically, yes i believe it is possible to pair the device with both phones ,however, it isn't worth the hassle. when you turn on a bluetooth headset it automatically looks for a connection with a paired device. first i'm not sure if a headset can be paired to two devices at the the same time. second, what happens when both phones have a phone call at the same time?

headsets are cheap enough nowdays that picking up a second pair would be preferable to dealing with any potential issues.