One of the main challenges of multi-radio multi-channel wireless mesh networks (MR-MC WMNs) is how to efficiently avail from the radio resources available in the network. The level of interference experienced by the mesh nodes rises when the network becomes more connected and the number of radios per node increases. To mitigate interference experienced by the wireless mesh nodes while taking advantage from the multi-channel network aspect, we propose a novel Interference-aware Game based Channel Assignment algorithm, named IGCA. We prove through simulations that our proposed algorithm contributes in alleviating the node interference degree, fairly allocates interfaces to network non-overlapping channels and increases simultaneous transmissions in the network. An improvement up to 50% of both interference degree and simultaneous connections is particularly observed in comparison with a prominent existing approach - the Near-optimal Partially Overlapping Channel Assignment algorithm.