Shapley value

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English[edit]

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Noun[edit]

Shapley value (uncountable)

  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[edit]