Shapley value

English

Etymology

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

Noun

Shapley value

(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

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