shapley: Shapley value

In TUvalues: Tools for Calculating Allocations in Game Theory using Exact and Approximated Methods

Shapley value

Description

Calculate the Shapley value

Usage

shapley(characteristic_func, method = "exact", n_rep = 10000, n_players = 0)

Arguments

characteristic_func	The valued function defined on the subsets of the number of players.
method	Method used to calculate the Shapley value. Valid methods are: exact for the exact calculation or appro for approximated polynomial calculation based on sampling.
n_rep	Only used if method is appro. The number of iterations to perform in the approximated calculation.
n_players	Only used if characteristic_func is a function. The number of players in the game.

Value

The Shapley value for each player.

Examples

n <- 10
v <- function(coalition) {
if (length(coalition) > n/2) {
   return(1)
 } else {
   return(0)
 }
}
shapley(v, method = "appro", n_rep = 4000, n_players = n)

n <- 3
v <- c(1,1,2,1,2,2,2)
shapley(v, method = "exact")
shapley(v, method = "appro", n_rep = 4000)

TUvalues documentation built on June 8, 2025, 10:50 a.m.