Satisfaction Approval Voting Rule (COMSOC)

Definition

Satisfaction Approval Voting Rule (COMSOC)

The satisfaction approval voting rule selects a committee $C^{\ast }\subseteq C$ maximising

$$\mathrm{SVA}(A_1,\dots ,A_n;k):=\underset{\begin{array}{c}{C}^{\ast }\subseteq C,\\ |C^{\ast }|=k\end{array}}{\mathrm{argmax}}\sum _{v_i\in V}\frac{|A_i\cap C^{\ast }|}{|A_i|}.$$