Divorce arbitration differs from mediation in that it involves presenting your case to an arbitrator in a private setting, rather than negotiating directly with your spouse. The arbitrator, selected by both parties, will listen to the issues at hand and make a legally binding decision, which is typically not subject to appeal. This method is private and can be faster than going to court, but it offers less control over the outcome compared to mediation, where both spouses work together to reach an agreement.