Conditions for Transitivity of Majority Rule with Algorithmic Interpretations

摘要

Using particular cases of the condition Ref (nu,i,j) (in Koelher 1978), one can derive nine conditions for transitivity of the method of majority decision which all possess a generating algorithm with possible sociological or economical interpretations. Some celebrated conditions appear to be particular cases of this structure. Some other, 'new conditions,' at least new under their algorithmic form, suggest explanation for some efficient committee votings. (Author)