Common Law Procedure Amendment Act (Ireland) 1856

When Reference is to Two Arbitrators, and One Party fail to appoint, the other Party may appoint Arbitrator to act alone.

XVI. When the Reference is or is intended to be to Two Arbitrators, One appointed by each Party, it shall be lawful for either Party, in the Case of the Death, Refusal to act, or Incapacity of any Arbitrator appointed by him, to substitute a new Arbitrator, unless the Document authorizing the Reference show that it was intended that the Vacancy should not be supplied; and if on such a Reference One Party fail to appoint an Arbitrator, either originally or by way of Substitution as aforesaid, for Seven clear Days after the other Party shall have appointed an Arbitrator, and shall have served the Party so failing to appoint with Notice in Writing to make the Appointment, the Party who has appointed an Arbitrator may appoint such Arbitrator to act as sole Arbitrator in the Reference, and an Award made by him shall be binding on both Parties as if the Appointment had been by Consent; provided, however, that the Court or a Judge may revoke such Appointment on such Terms as shall seem just.