A constant scoring rule asks each individual to vote for a given (and constant) number of alternatives and the alternative with the most votes is elected. A sequential constant scoring rule applies this principle in a process of sequential elimination. Constant scoring rules as well as...

In voting theory, analyzing how frequent is an event (e.g. a voting paradox) is, under some specific but widely used assumptions, equivalent to computing the exact number of integer solutions in a system of linear constraints. Recently, some algorithms for computing this number have been...

A well-known result in Social Choice theory is the following: every scoring rule violates the majority principle as defined by Condorcet. In this paper, we investigate some limits of this negative result. Some weakened versions of Condorcet principle are introduced and we characterize those...