Step 1: Understanding the issue.
When parties to a contract containing an arbitration clause fail to agree on the appointment of an arbitrator, the matter is governed by the Arbitration and Conciliation Act, 1996.
Step 2: Relevant provision.
Section 11 of the Act empowers the Supreme Court or the High Court (depending on the nature of the arbitration) to appoint an arbitrator if the parties fail to do so within 30 days.
Step 3: Conclusion.
Thus, in such cases, the court intervenes under Section 11 to ensure arbitration proceedings commence fairly.