Sec. 172.051. NUMBER OF ARBITRATORS. An arbitration has one arbitrator unless the parties agree to additional arbitrators.(c) The court shall stay the arbitration if the court finds for the party moving for the stay. Section 172.104 - Rules of Evidence. Learn More About the Arbitration Process in Texas and How It Helps to Resolve Disputes Outside of a Courtroom Setting. Strict conformity to the rules of judicial proceedings is not required.