Two new conditions of presentation of a bistable motion display are studied, where a competition between monoptic and monoptic plus dichoptic information is supposed to be involved. Data contradict the expectation that a dichoptic motion signal could cooperate with a monocular one. A different interpretation of the combination of monoptic and dichoptic signals is proposed. According to it, the clarity of rotational motions is based upon the evidence, even conflicting, which the two "peripheral" low-level processes separately provide.