Watch 'Halliburton v Chubb[1]: Implications for international maritime and commercial arbitration' here, where the principal issues the UK Supreme Court had to deal with are [2]:
(i) whether and to what extent an arbitrator may accept appointments in multiple references concerning the same or overlapping subject matter with only one common party without thereby giving rise to an appearance of bias, and
(ii) whether and to what extent the arbitrator may do so without disclosure.
[1] [2020] UKSC 48
[2] [2020] UKSC 48, at para 2.