Digital archives protect important data collections from failures by making multiple copies at other archives, so that there are always several good copies of a collection. In a cooperative replication network, sites ``trade'' space, so that each site contributes storage resources to the system and uses storage resources at other sites. Here, we examine bid trading: a mechanism where sites conduct auctions to determine who to trade with. A local site wishing to make a copy of a collection announces how much remote space is needed, and accepts bids for how much of its own space the local site must ``pay'' to acquire that remote space. We examine the best policies for determining when to call auctions and how much to bid, as well as the effects of ``maverick'' sites that attempt to subvert the bidding system. Simulations of auction and trading sessio ns indicate that bid trading can allow sites to achieve higher reliability than the alternative: a system where sites trade equal amounts of space without bidding.