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Due to the limitation of radio spectrum resource and fast deployment of wireless devices, careful channel allocation is of great importance for mitigating the performance degradation caused by interference among different users in wireless networks. Most of existing work focused on fixed-width channel allocation. However, latest researches have demonstrated that it is possible to combine contiguous channels for better utilizing the available channels. In this paper, the authors study the problem of adaptive-width channel allocation in multi-hop, non-cooperative wireless networks from a game-theoretic point of view. They first present a strategic game model for this problem and demonstrate the existence of Nash Equilibrium (NE) in an anarchical scenario.
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