Doubt. If P2, P4 and P5 have bids. P3 has no offer. Someone buys P1. I understand that it is resolved, let's say, a bid on P2. How do you proceed with P3? Is there the possibility of making an offer there and also the options to bid again on P4, P5 and P6?
(sorry for the necro, but figured that having an answer here would be helpful) In that situation, after the P2 auction is completed, play would procede to the next player after the purchaser of P1. P3 is now the cheapest private available (and must be bought directly), and bids can be placed on P4, P5, and P6. (Any bids that were on P4, P5, or P6 remain.) Any "losing" bids on P2 are no longer reserved (which may allow a player to place a bid they wouldn't have been able to place before, as the money for the P2 bid was tied up before.)