Before revision:  We investigate the existence and computation of \beta-plurality points, and obtain the following results . * Define \beta^*_d := \sup \{ \beta : any finite multiset V in \mathbb{R^d admits a \beta-plurality point} \}.
After revision:  We investigate the existence and computation of \beta-plurality points, and obtain the following . * Define \beta^*_d := \sup \{ \beta : any finite multiset V in \mathbb{R^d admits a \beta-plurality point} \}.