Shapley value

English

Etymology

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

Noun

Shapley value

1. (game theory) A real number determined for the player i as

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

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

Translations

payoff of a player

• Czech: Shapleyho hodnota f