People could even bid "conditionally" for multiple sections, and once bidding closes you resolve the separate auctions in order from best to worst. If a person with multiple bids gets a good seat, their bids in the other sections get cancelled.

Seems to me that this could have very similar results as the dutch auction method, but each ticket is more fairly priced. Your ticket costs the same as the next guy, assuming they have a seat in the same section as you.

Edit: also, as mentioned somewhere else here, you're likely to have a threshold where everyone wants to buy once they see available seats start to disappear, causing a kind of "bank runoff" where everyone rushes to buy tickets all at once, putting us back where we started.