Rights of a passenger on-board a flight

After seeing how the 69 year old Asian man was rough handled for refusing to leave the overbooked United Airlines plane to make room for additional crew members and hearing most if not all airlines reserve every rights to denial passengers, I decided to read up if such conditions exist.

An excerpt lifted from the 'Conditions of Carriage' of one random airliner:

Notice of refusal to carry you

We will be entitled to refuse to carry you and your Baggage if we have notified you in writing that we will not carry you on our services. The notice will give details of the period for which it will apply and will ask you not to make a Booking or ask or allow anyone to do so for you. If you try to travel while the notice is in force, we will refuse to carry you.

Overbooking

If you are denied boarding due to overbooking of a scheduled flight for which you have a Booking, we will try to get you to your destination within a reasonable time of your original scheduled arrival time. If we do not, we will provide compensation and any care required by any law which may apply or in accordance with our policy if there is no applicable law. This clause 10.3 does not apply if you fail to meet the Check-in Deadline and boarding requirements in 8.1 or we exercise our right to refuse to carry you.

If we are unable to accommodate your Cabin Baggage, we may ask you if we can stow it in the aircraft hold as Checked Baggage. In these circumstances you will not be charged for the relevant Checked Baggage.

That is what we are in for when we tick 'I agree' when making plane tickets booking.