Difference between revisions of "Consistency criterion"

Add convexity note.
m (Add convexity note.)
A [[voting system]] is '''consistent''' if, when the electorate is divided arbitrarily into two parts and separate elections in each part result in the same alternative being selected, an election of the entire electorate also selects that alternative. If a voting system is not consistent then it may be manipulated through the establishment of strategically configured election districts.
A [[Scale invariance|scale invariant]] preferential voting method is consistent iff its win regions are convex.
==Complying methods==