A method of conducting a sealed-bid auction is disclosed that herds the bids into a smaller range than might otherwise occur. In accordance with the illustrative embodiment, each bid is classified into exactly one of a plurality of buckets. Each bucket, and the bids in the bucket, if there are any, are published at different times in accordance with a bid publishing schedule. The bids in each bucket are published simultaneously, and the bid publishing schedule dictates that buckets comprising bids that are more advantageous to the auction solicitor are published before buckets comprising bids that are less advantageous to the auction solicitor.
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