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Reciprocal Score Voting: Difference between revisions

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Reciprocal Score Voting (view source)

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that is, factions only give support to factions they received support from, 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 which case votes are left unchanged.
 
In the case of any asymmetry in support, the reciprocity ratio is <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 did cooperate.
 
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, forcing them to strike a balance between supporting their favorite as well as supporting alternatives as much as they can.
Lucasvb
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