My impression of arbitration agreements is that they have a neutral selection process. But maybe some blatantly state the company picks whatever arbitrator the

My impression of arbitration agreements is that they have a neutral selection process. But maybe some blatantly state the company picks whatever arbitrator they want, or there is a way to be sneaky about it. Do share if that's actually the case. Are there actual examples of cases wrongly decided by arbitration as a result of this phenomenon? Maybe they are all hidden under NDA.