The superior court, upon the request of a party, may take the necessary measures, unless the agreement on the appointment procedure provides other means for securing the appointment, where, under an appointment procedure agreed upon by the parties, any of the following occurs:

1. (a) A party fails to act as required under that procedure.
2. (b) The parties, or two appointed arbitrators, fail to reach an agreement expected of them under that procedure.
3. (c) A third party, including an institution, fails to perform any function entrusted to it under that procedure.