At the risk of restricting mechanisms, you can divide "sessions" into "segments" where certain actions and writing styles are encouraged or required. For instance, starting off with narrative, moving to bidding, then a second narrative, revisions to bidding (withdrawals, increases, sabotage, etc), a third narrative, and then results. In-between sessions could be a 'break' period where players can take steps to further their own interests before the next round.
This is all I can think of on the spot, but I'll sleep on it and report any other ideas if I get more.