We study the problem of how to allocate m identical items among n > m agents, assuming each agent desires exactly one item and has a private value for consuming the item. We assume the items are jointly owned by the agents, not by one uninformed center, so an auction cannot be used to solve our problem. Instead, the agents who receive items compensate those who do not. This problem has been studied by others recently, and their solutions have modified the classic VCG mechanism. Advantages of this approach include strategy-proofness and allocative efficiency. Further, in an auction setting, VCG guarantees budget balance, because payments are absorbed by the center. In our setting, however, where payments are redistributed to the agents, some money must be burned in order to retain strategyproofness. However, there is no reason to restrict attention to VCG mechanisms. In fact, allocative efficiency (allocating the m items to those that desire them most) is not necessarily an appropr...
Geoffroy de Clippel, Victor Naroditskiy, Amy R. Gr