Title" "Spectrum Sharing Games" Author: Randy Berry (joint work with J. Huang and M. Honig) Abstract: In wireless networks a key consideration is how to mitigate interference among multiple users in a given spectrum band. This is especially true in unlicensed or open bands, where users may be deployed without any centralized frequency planning or control. In this talk, we describe some simple mathematical models for sharing a given spectrum band. We discuss both a case where a spectrum manager controls access and a case where there is no manager and users implement a distributed algorithm to manage access. In the first case, we describe an auction mechanisms where the users bid for spectrum access. We model this auction as a game and characterize the equilibrium. In the second case, we discuss a distributed algorithm, in which users announce "price" signals which indicate the cost of interference to them. We relate this algorithm to a "fictitious" game, which in certain cases is supermodular. This relation is used to characterize the algorithms convergence. Extensions to multi-channel networks will also be discussed, where users can allocate their power over multiple frequency bands, as in a OFDM system.