Evaluation of the Effectiveness of the Expert Dialogue Based on Markov Models

Models of paired interaction of experts in the form of a dialogue are investigated. An approach is proposed in which dialog models are developed in the form of symmetric oriented interaction graphs. Such graphs are considered as Markov models with discrete states and continuous time. Two variants of dialogue structures are investigated. For them, the final expressions of the achievability of the dialog goal are obtained. The scope of the effectiveness of the dialog interaction procedure is evaluated by the criterion of the probability of reaching consensus.