When inquiring as to the possibility of extending one's stay at a hotel, the management of the hotel is under no legal obligation to provide a room if all rooms have been previously reserved for that night. The hotel management might have a moral obligation to assist you in finding accommodations at another, similarly-priced hotel, and can put you on a waiting list in case of a cancellation on the part of another guest. There is no requirement, however, that the hotel management allow you to remain in your room beyond the period for which you previously agreed to stay. In all likelihood, you signed a piece of paper when you checked in to the hotel that specificed the duration of your stay and the cost of the room. That piece of paper constitutes a contract with which you are obligated to comply, as is the hotel.