The provision in a listing contract that gives additional authority to the broker and obligates the broker to distribute the listing to other brokers is

Multiple Listing Clause

Explanation:

Multiple listing clause is a business or investment term that describes a form of a clause or listing agreement that enables a broker to make his or her listings available through other brokers also referred to as Multiple listing services.

Hence, the provision in a listing contract that gives extra permission to the broker and obligates the broker to distribute the listing to other brokers is known as MULTIPLE LISTING CLAUSE