Leaving the bubbling beverage to cool
The following escape hatch to the share auction is attractive:
If a player auctions one of their own shares and no players bid, the player may put the share back into the bank pool and receive the current income of the company divided by the current number of issued shares including the just auctioned share in exchange.
What a delightfully nasty and abusive money pump, especially in lower player count games! I fear my auction theory is too weak to predict out all the implications. I should probably spend some time talking it over with with the auction theory guys at Stanford before committing, but I sure like the idea so far.