Shapley_value {GameTheoryAllocation} | R Documentation |
Shapley_value (Shapley Value)
Description
This function gives the Shapley value introduced in Shapley (1953).
Usage
Shapley_value(characteristic_function, game = c("profit", "cost"))
Arguments
characteristic_function |
A vector with the characteristic function |
game |
Characters to indicate if the game is a cost or profit game. The possibles values are |
Value
A vector with the allocation that Shapley value (Shapley, 1953) proposes.
Author(s)
A. Saavedra-Nieves
References
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.
Examples
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
[Package GameTheoryAllocation version 1.0 Index]