That's right Matt.. the Scottish system is sealed bids.
You view the house, and if interested, you register a 'note of interest' with the seller's solicitor. That means they are legally obliged to keep you informed of what's going on with the sale.
At some stage, after enough people have viewed & surveyed the house (you get your survey done before making an offer... it can get very expensive if you have to bid on more than one house!), the solicitor advises everyone of the 'closing date'... that's the date that all bids have to be in.
And on the closing date, usually around 12 or 1pm, you will get a call from your own lawyer telling you whether or not your bid has been successful. If not, there are no second chances. That's it finished.
If your bid is the highest/successful, then you are legally obliged to purchase the house, and just wait for all the paperwork/conveyancing to be done. There are no chains, no gazumping or gazundering in Scotland, because once your bid is accepted, that's it... no one can pull out.