Reciprocal Score Voting: Difference between revisions
no edit summary
No edit summary |
No edit summary |
||
Line 13:
that is, factions only receive support from factions they themselves support, and in proportion to that support up to a maximum. Note the case of <math>F_{\phi \to j} = 0</math> only occurs when all <math>B^{v|\phi}_j = 0</math>, in which case no reweighing is necessary.
Only when factions agree on their mutual ratings and perfectly reciprocate is that their ''reciprocity ratio'' <math>\frac{ F_{j \to \phi} }{ F_{\phi \to j} } = 1</math>.
In the case of asymmetry in support, the <math>\frac{ F_{j \to \phi} }{ F_{\phi \to j} } < 0</math> for the faction which did not cooperate, and <math>\frac{ F_{j \to \phi} }{ F_{\phi \to j} } = 1</math> for the faction that cooperated. Therefore, not cooperating penalizes the side which did not cooperate more. In this way, factions are encouraged to cooperate as much as possible to maximize mutual support.
This system suffers from a very unusual "reverse spoiler effect", in which a larger faction may lose an election by not supporting smaller supportive factions. In this way, larger factions are encouraged to promote smaller factions as much as possible.
| |||