An arbitration has one arbitrator unless the parties agree to additional arbitrators. Learn More About the Arbitration Process in Texas and How It Helps to Resolve Disputes Outside of a Courtroom Setting.Section 172.104 - Rules of Evidence. Arbitration. The parties shall confirm the completion of any mediation or any decision to opt out of this rule to the AAA. Federal Arbitration Law. An application for vacatur or modification in a Texas district or county court may implicate federal substantive law. Chapter. The Federal Arbitration Act is a federal statute, codified at 9 USC §§ 1-16, that protects the integrity of many arbitration agreements. There are no formal rules of evi- dence in arbitration as in courts. All forms of evidence are acceptable, and it will be the arbitrator's job to apply the. The Federal Arbitration Act.