Election results: Varaliðsstjóri

Summary

There are 16 votes out of 25 voters.

The winner is: Kristinn Hrafn Daníelsson.

Condorcet winner

A strong Condorced winner is the option that beats all other options in pairwise matches. In case of ties, there could be weak Condorced winners that are not beaten by other options, but they can tie with them and with each other.

There is a strong Condorcet winner: Kristinn Hrafn Daníelsson.

Schulze method

It might happen that there is no Condorcet winner, if the beat graph contains cycles. In this case, we use the Schulze method to determine the winner(s). The Schulze winner is an option that is not path-beaten (see below for definition) by any other option. If there are path-ties, there can be multiple Schulze winners.

There is a Schulze winner: Kristinn Hrafn Daníelsson.

After we remove the winners, we can iterate the Schulze method and obtain the order of other options (possibly with ties):

2. Frigg Einarsdóttir
3. Þórhallur Tryggvason

Details

Beat counts

For every pair of options A in B, we count the ballots in which A comes before B. We say that A beats B if A is before B often than B before A. We say that A ties with B, both orders are equally frequent. A beat graph has options as vertices and beats as directed edges.

Beat strengths

If A beats B, the strength of the beat is the number of ballots with A before B minus the number of those with B before A. It provides costs to edges of the beat graph.

Path strengths

A beat path is a path in the beat graph. The strength of the path is the minimum strength among the path's edges. For each pair of options, we find the strongest path. We say that A path-beats B if the strongest path from A to B is stronger than the strongest path from B to A.