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The problem of anonymous wireless networking is considered when an adversary is capable of controlling a subset of routes in the network. For a desired Quality-of-Service (QoS), as measured by network throughput, the problem of maximizing anonymity is studied from a game-theoretic perspective. Anonymity is quantified using conditional entropy of the routes given the adversary's observation. The problem of optimizing anonymity is posed as a two player zero-sum game between the network designer and the adversary; the task of the adversary is to choose a subset of flows to control so that anonymity of routes is minimum whereas the task of the network designer is to maximize anonymity by choosing a subset of nodes to evade flow detection by generating independent transmission schedules.
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