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This paper considers the multi-user bit-rate and latency control of scalable video content in a cognitive radio multimedia network. We consider a cognitive radio network where multiple secondary users attempt to access a spectrum hole according to a predefined time division multiple access (TDMA) access rule based on the primary user activities, the channel quality and the transmission delay of each user. Scalable video rate and distortion models are used in formulating the problem as a switching control dynamic Markovian game. The video sources and channel behavior are modeled as independent Markov processes. However, the interaction between users is combined in the access rule thus resulting in a switching control game. We show that the proposed switching control game formulation results in an improvement in video quality over a myopic rate allocation scheme in video peak signal-to-noise ratio (PSNR).