Divorce arbitration involves a privately hired judge whose decisions are usually binding. You can propose an agreement about all the issues in your divorce.So, how exactly does arbitration work in California? Your agreement needs to say that you both agree to end the marriage and what you agreed about property or spousal support. What Is Arbitration? In arbitration, you and your spouse agree that you'll hire a private judge, called an arbitrator, to resolve the disputes in your divorce. The brief should include identification of the parties, a concise description of the facts, and applicable case law and statutes. Judicial Arbitration is like a trial. But it is less formal and there is no jury. Fill out the form below for a no-obligation review of your case.