z Analysis and Design of Cognitive Radio Networks Using Game Theory
 
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Potential Games

Example : A Bilateral Symmetric Interaction (BSI) Interference Avoidance Game:

Consider a network with a frequency reuse scheme such that cross cluster interference is negligible. Each cluster is power controlled so that received power at the cluster head for all radios is constant. However, each radio that is communicating with the cluster head is also attempting to minimize the interference its signal experiences at the receiver by adapting its waveform. We can model this as a myopic repeated game with the normal form stage game modeled as follows. Each cognitive radio in a cluster is a player, the actions for each radio are its available waveforms, and

utility functions here
is the statistical correlation between waveforms aj and ak with the assumption that:

Using Table , we then know that:

 

 

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