Shapley value

noun

A real number determined for the player i as

“ϕᵢ(v)=∑_(S⊆N⧵i)(|S|!;(n-|S|-1)!)/(n!)(v(S∪i)-v(S)),”

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Meanings

noun
  1. computingA real number determined for the player i as

    ϕᵢ(v)=∑_(S⊆N⧵i)(|S|!;(n-|S|-1)!)/(n!)(v(S∪i)-v(S)),

    1 more example

    given a coalitional game with a set N of n players and a worth function v;:;𝒫(N);→ℜ.

Origin

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

Full word history & related roots →

Translations

Czech Shapleyho hodnota
  • Shapleyho hodnotapayoff of a player
Cite this entry
APA

Shapley value. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Shapley%20value

MLA

“Shapley value.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Shapley%20value. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Shapley value,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Shapley%20value.

Source: Shapley value on Wiktionary, CC BY-SA 4.0.