No one wants to be double booked. If you have multiple listings within the same home, like one for a private room and another for the entire place, you can link their calendars. That way, when you accept a booking request for the entire place, the dates will also be blocked on the private room's calendar.
You can only link calendars for listings that have the same primary host (for example, co-hosts can't link calendars).
Managing multiple calendars? Learn how to connect your Airbnb calendars with third-party websites.