Find out how to get an arbitrator appointed and the appointment process. Include the case number and arbitrator's name, as well as a preferred contact number in case the Clerk of Court's staff needs to follow up. 5.Self-representation means representing yourself in a legal matter, such as an arbitration case. I defend the constitutionality of state statutes in federal litigation and brought appeals challenging overbroad federal rulemakings. Jerome Allan Landau, Esq. Arbitrator, Mediator, large Group Facilitator, Attorney. What laws govern arbitration in the U.S.?