The scorix: A popular representation of votes revisited

In earlier work, some of the present authors have advocated that the search for monotonicity of the votrix, a well-known representation of votes, leads to natural ranking rules. In order to exploit hitherto unconsidered information, we introduced a new representation of votes, the votex, and the search for monotonicity was extended to this representation. Previously, we have focused on representations of votes based on pairwise information and we have left aside another well-known representation of votes based on positional information: the scorix. In this paper, we propose to exploit the monotonicity of the scorix and introduce a new family of ranking rules based on the search for this new type of monotonicity. It is shown that, in case the scorix is monotone, all existing scoring ranking rules give the same ranking as output.