This question is a followup of this question.

Let's say, we have A, B C and D again:

First round: If A chooses Power plant, but D wins, then A will initiate another auction. Again when A chooses Power plant, but C wins, then A will initiate yet another auction. Looks like A has a slight adavantage here - it can potentially force others to bid higher for a power plant, or trick them into buying plants which it does not intend.

If A passes during an auction which it started, does it still get the option to initiate the next auction?

Subsequent rounds: If A chooses Power plant, D wins, who initiates the auction again? A or B? If A initiates, then how is a subsequent round is any different from the first round? If B initiates, does this mean A never gets the chance to initiate an auction again in this round?