Reciprocal Score Voting: Difference between revisions

Let <math>B^{v|\phi}_j</math> be the ballot rating of the <math>v</math>-th voter towards candidate <math>j</math>, where <math>\phi</math> is the set of factions assigned to that voter. This means <math>B^{v|\phi}_j > B^{v|\phi}_k</math> for all <math>j \in \phi, k \notin \phi</math>. Define <math>F_{i \to j}</math> be the mean rating given by faction <math>i</math> to faction <math>j</math>, and also that <math>F_{i \to \phi} = \frac{1}{|\phi|} \sum_{j \in f\phi} F_{i \to j}</math>, that is, the mean of the rating given to all members of that set of factions, and similarly for <math>F_{\phi \to j}</math>.