Arbitration is like an informal trial or hearing. The parties present evidence and arguments to their arbitrator, who is an attorney or retired judge.In the Matter of Arbitration Between,. LIUNA Local 777. Union. And,. In the Matter of Arbitration Between,. LIUNA Local 777. Union. And,. Arbitration Committee cannot reach agreement on an Impartial Chairman. Complete all sections of the application form. In County of Riverside v. The Superior Court of Riverside County (2002) 97 Cal.App.