@article {IOPORT.02137326, author = {Chen, Ning and Deng, Xiaotie and Sun, Xiaoming}, title = {On complexity of single-minded auction.}, year = {2004}, journal = {Journal of Computer and System Sciences}, volume = {69}, number = {4}, issn = {0022-0000}, pages = {675-687}, publisher = {Elsevier Science (Academic Press), San Diego, CA}, doi = {10.1016/j.jcss.2004.04.012}, abstract = {Summary: We consider complexity issues for a special type of combinatorial auctions, the single-minded auction, where every agent is interested in only one subset of the commodities. First, we present a matching bound on the communication complexity for the single-minded auction under a general communication model. Next, we prove that it is NP-hard to decide whether a Walrasian equilibrium exists in a single-minded auction. Finally, we establish a polynomial size duality theorem for the existence of a Walrasian equilibrium for the single-minded auction.}, identifier = {02137326}, }