Shapley value

English

Etymology

Named in honour of Lloyd Shapley, who introduced it in 1953.

Noun

1. Template:Lb A real number determined for the player i as

   ${\varphi }_i(v)=\sum _{S\subseteq N\setminus \{i\}}\frac{|S|!(n-|S|-1)!}{n!}(v(S\cup \{i\})-v(S))$,

   given a coalitional game with a set N of n players and a worth function $v:𝒫(N)\to \mathrm{\Re }$.

Translations

• Czech: Template:T