We propose a novel power-aware scheme for complexity-scalable multiview video coding on mobile devices. Our scheme exploits the asymmetric view quality which is based on the binocular suppression theory. Our scheme employs different quality-complexity classes (QCCs) and adapts at run time depending upon the current battery state. It thereby enables a run-time tradeoff between complexity and video quality. The experimental results show that our scheme is superior to state-of-the-art and it provides an up to 87% complexity reduction while keeping the PSNR close to the exhaustive mode decision. We have demonstrated the power-aware adaptivity between different QCCs using a laptop with battery charging and discharging scenarios.