Theoretical analyses of multi-unit auctions tend to side-step the importanc
e of rationing rules by assuming strictly decreasing aggregate demand. Howe
ver, under European Central Bank rules, bidders are allowed to submit no mo
re than ten price-quantity pairs. So even if the underlying demand is stric
tly decreasing, it is likely that several bidders may submit a market-clear
ing bid. If at the market-clearing bid, excess demand exists, it is necessa
ry to ration how much each bidder receives. The effect on bidding behavior
and equilibrium revenues under two distinct rationing rules is explored in
this paper. (C) 2001 Elsevier Science Ltd. All rights reserved.