Logging in and host user both controlling the mouse and keyboard

Hello,

Is there a LogMeIn product or setting that enables the user logging in and the host user taking turns controlling the mouse and keyboard.

Alernatively, can two remote users both log in to the same host PC and take turns controlling the mouse and keyboard.

I don't know if it is relevant to this question that we have a subscription to LMI Central.

Thanks.

Keith