Social preference ordering in a probabilistic voting model

The purpose of this note is to suggest the advantages of a probabilistic model of social choice in which we impose some naive assumptions on the individual preference relations. According to the probabilistic approach, society chooses a certain alternative in a two-stage process. First, social probabilities are determined on the basis of individual probabilities using the average rule. Second, a certain alternative is chosen by a random mechanism which utilizes the above social probabilities.