Representation (COMSOC)

Definition

Representation (COMSOC)

Let $A_i\subseteq C$ be the voter $v_i$‘s approval ballot and $W\subseteq C$ a committee. Voter $v_i$ is represented by $W$ if

$$v_i\text{represented by}W⟺A_i\cap W\ne \varnothing ,$$

i.e., at least one candidate approved by $v_i$ is elected.