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A local matching approach, known as Electoral College, where each block contributes one single vote to the final decision, which is generated by a simply majority voting from all local binary decisions, has been proved to be stable for political elections as well as general pattern recognition. Given the registration difficulties caused by the non-rigidity of human face images, block LBP displacement is introduced so that an Electoral College, where a local decision is made on LBP statistics for each block, can be applied to face recognition problems. Extensive experiments are carried out and have demonstrated the outstanding performances of the block LBP displacement based Electoral College in comparison with the original LBP approach. It is expected and shown by experiments that the approach also applies to descriptor approaches other than LBP.