The American Arbitration Association® ("AAA®," "the Association") applies the Consumer Arbitration Rules ("Rules") to arbitration clauses in agreements. An arbitration agreement is a written contract in which two or more parties agree to utilize a neutral third party- the arbitrator- to resolve a dispute.Car accident arbitration involves a hearing where you and the insurance company present information about your claim to a neutral person, called an arbitrator. Waiver of arbitration clause in agency agreement. Only one carrier in the market today pays the veterinarian directly. •. Nondiscretionary arbitration provisions. A person or company failed to comply with a written or oral contract. See the Arbitration Provision for additional information concerning the agreement to arbitrate. Arbitration provision.