The arbitration system in Allegheny County provides for simple and concise pleadings and a trial of the issues enabling the parties to resolve claims. Contractual arbitration is a means of bypassing the judicial system and is voluntary in the sense that the parties have entered into an agreement to resolve.Lawyers who are actively engaged in the practice of law in Allegheny County shall be appointed to serve as arbitrators. (2). In Stolt-Nielsen, the agreement that the arbitrator strayed from was the limitation in the arbitration agreement itself. Enforcement of the arbitration agreement.