As you write above, we should take the delegates to think that Parliament’s decision is a stochastic variable such that the probability of the Parliament taking action A is proportional to the fraction of votes for A, to avoid giving the majority bloc absolute power.

However, your suggestion generates its own problems (as long as we take the parliament to go with the option with the most votes):

Suppose an issue The Parliament votes on involves options A1, A2, …, An and an additional option X. Suppose further that the great majority of theories in which the agent has credence agree that it is very important to perform one of A1, A2, …, An rather than X. Although all these theories have a different favourite option, which of A1, A2, …, An is performed makes little difference to them.

Now suppose that according to an additional hypothesis in which the agent has relatively little credence, it is best to perform X.

Because the delegates who favour A1, A2, …, An do not know that what matters is getting the majority, they see no value in coordinating themselves and concentrating their votes on one or a few options to make sure X will not end up getting the most votes. Accordingly, they will all vote for different options. X may then end up being the option with most votes if the agent has slightly more credence in the hypothesis which favours X than in any other individual theory, despite the fact that the agent is almost sure that this option is grossly suboptimal.

This is clearly the wrong result.

And empathy is not pity. Pity is useless and ugly. Empathy has nothing in common with pity. Empathic intelligence reflects on your fundamental being, your emotional sensitivity. Sensitivity is the key to real intelligence, also – the very fundamental.