To vote or not to vote: What is the quota? (Q1114569)

The ``no-show paradox'' describes a situation in which one's vote results in the election of a less preferred candidate (compared to the outcome in the case of abstention). \textit{H. Moulin} [J. Econ. Theory 45, No.1, 53-64 (1988; Zbl 0649.90010)] introduced an axiom requiring a voting rule to never give rise to situations of this type. He proved that if the number of candidates is four ore more, this axiom is inconsistent with the Condorcet majority principle. In this paper, the author replaces the simple majority principle of Condorcet by a special majority indicated by a quota and determines the values of the quota for which this inconsistency persists.