6.2. Response replicability effect for sequential questioning
The approach based on identification of the order effect with noncommutative representation of questions (Wang and Busemeyer, 2013) was criticized in paper (Khrennikov et al., 2014). To discuss this paper, we recall the notion of response replicability. Suppose that a person, say John, is asked some question and suppose that he replies, e.g, “yes”. If immediately after this, he is asked the same question again, then he replies “yes” with probability one. We call this property response replicability. In quantum physics, response replicability is expressed by the projection postulate.The Clinton–Gore opinion poll as well as typical decision making experiments satisfy response replicability. Decision making has also another feature - response replicability. Suppose that after answering the -question with say the “yes”-answer, John is asked another question . He replied to it with some answer. And then he is asked again. In the aforementioned social opinion pool, John repeats her original answer to , “yes” (with probability one).
This behavioral phenomenon we call response replicability. Combination of with and response replicability is called the response replicability effect RRE.
