We study combinatorial auctions for the secondary spectrum market. In this
market, short-term licenses shall be given to wireless nodes for communication
in their local neighborhood. In contrast to the primary market, channels can be
assigned to multiple bidders, provided that the corresponding devices are well
separated such that the interference is sufficiently low.
In modern wireless networks, devices are able to set the power for each
transmission carried out. Experimental but also theoretical results indicate
that such power control can improve the network capacity significantly. We
study this problem in the physical interference model using SINR constraints.