Stable winner set: Difference between revisions

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m (Kristomun moved page Stable Winner Set to Stable winner set: It's not a proper noun, so it shouldn't be capitalized)
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AIn proportional representation, a '''stable winner set''' (called the '''core''' in game theory parlance) is a requirement on a winner set:
 
{{Definition| Given a winner set <math>S</math> of <math>k</math> winners, another winner set <math>S^\prime</math> containing <math>k^\prime</math> winners blocks <math>S</math> iff <math>\frac{V(S,S^\prime)}{n} \geq \frac{K^\prime}{K}</math>, where <math>V(S,S^\prime)</math> is the number of voters who strictly prefer <math>S^\prime</math> to <math>S</math>, and <math>n</math> is the number of voters.