This is a procedure in which a personal injury claim goes before one or more arbitrators to resolve a dispute. This guide encompasses eight relevant arbitration topics with the aim of offering a comprehensive overview of arbitration in New York.Our Queens no-fault accident attorneys are ready to help you recover compensation for your injuries. Contact us today for a free case review. Additional Party Fees. In arbitration, a neutral third party serves as a judge who is responsible for resolving the dispute. An arbitrator is an experienced lawyer trained to hear small claims cases. Arbitrator hearings are much less formal than when a judge oversees the case.