Monotonicity and Other Paradoxes in Some Proportional Representation Schemes

Autor: Bolger, Edward M.
Zdroj: SIAM Journal on Matrix Analysis and Applications; April 1985, Vol. 6 Issue: 2 p283-291, 9p
Abstrakt: Single Transferable Voting, which does provide proportional representation, has recently been shown to exhibit certain paradoxes [2], [3], [5], [6], [7]. In this paper we examine some alternate methods designed to provide proportional representation while at the same time reducing the number of “wasted votes”. Several versions of cumulative voting with transfer of surplus exhibit some forms of the monotonicity, No-Show, and New Voter paradoxes. If, in addition, low-ranking candidates are eliminated to further reduce wasted votes, then even the simplest forms of the monotonicity principle are violated.
Databáze: Supplemental Index