R' Herschel Schachter was quoted in an interview with Ami Magazine, lamenting how Batei Din often (mal)function (emphasis mine):
Q: Do you have a problem with the borerim system [in which two of the dayanim are chosen by the litigants and the two dayanim choose a third]?
A: The borerim system is also a shanda. A lot of the borerim act like toanim. I was involved in a din Torah. The borer took shochad (bribes). I had to resign from the case. He felt insulted. It was before Rosh Hashanah, and he told me that he was not going to be mochel [forgive] me. I told him, “I don’t need mechila. You took shochad. You’re pasul to be a dayan.” It says in Shulchan Aruch that you can’t have one litigant pay his dayan and the other pay his dayan, unless, which Reb Moshe writes in a teshuva, it is clear that both are being paid the same amount, in which case each one can pay his dayan and they both pay the third. But that isn’t what happens. They don’t pay the same amount. The payment depends on how long each one bothers the dayan. So they don’t pay the same amount and it is true shochad.