Solution

 Arbitration & Conciliation Act  S.11. Appointment of arbitrators .—(1) A person of any nationality may be an arbitrator, unless otherwise agreed by the parties. (2) Subject to sub-section (6), the parties are free to agree on a procedure for appointing the arbitrator or arbitrators. (3) Failing any agreement referred to in sub-section (2), in an arbitration with three arbitrators, each party shall appoint one arbitrator, and the two appointed arbitrators shall appoint the third arbitrator who shall act as the presiding arbitrator. (4) If the appointment procedure in sub-section (3) applies and— (a) a party fails to appoint an arbitrator within thirty days from the receipt of a request to do so from the other party; or (b) the two appointed arbitrators fail to agree on the third arbitrator within thirty days from the date of their appointment, the appointment shall be made, upon request of a party, by 1[the Supreme Court or, as the case may be, the High Court or any person or institution designated by such Court];