Shapley_value {GameTheoryAllocation} | R Documentation |
This function gives the Shapley value introduced in Shapley (1953).
Shapley_value(characteristic_function, game = c("profit", "cost"))
characteristic_function |
A vector with the characteristic function v(S) (or c(S), if we work with a cost game), according to the order of coalitions shown in |
game |
Characters to indicate if the game is a cost or profit game. The possibles values are |
A vector with the allocation that Shapley value (Shapley, 1953) proposes.
A. Saavedra-Nieves
Shapley, L.S. (1953). A value por n-person games. In H. Kuhn y A. Tucker (eds), Contributions to the theory of games II, Vol. 28, Annals of Mathematics Studies. Princeton University Press.
characteristic_function<-c(1,1,2,1,2,2,2) Shapley_value(characteristic_function,game="cost") #[1] "Shapley Value" # 1 2 3 # 0.3333333 0.3333333 1.333333