Shapley value
nounEtymology Named in honour of Lloyd Shapley, who introduced it in 1953.
1
Computing, Engineering, Game theory, Mathematics, Natural sciences, Physical sciences, Sciences A real number determined for the player i as
- ϕᵢ(v)=∑_(S⊆N⧵i)(|S|!;(n-|S|-1)!)/(n!)(v(S∪i)-v(S)),
- given a coalitional game with a set N of n players and a worth function v;:;𝒫(N);→ℜ.