centroidWeberSet {CoopGame}

Compute centroid of Weber set

Description

Calculates the centroid of the Weber set for specified game.

Usage

centroidWeberSet(v)

Arguments

v

Numeric vector of length 2^n - 1 representing the values of the coalitions of a TU game with n players

Value

Calculates the centroid of the Weber set for a game specified by a game vector.

Author(s)

Jochen Staudacher [e-mail]

References

Weber R.J. (1988) "Probabilistic values for games". In: Roth A.E. (Ed.), The Shapley Value. Essays in in honor of Lloyd S. Shapley, Cambridge University Press, pp. 101–119

Peters H. (2015) Game Theory: A Multi-Leveled Approach, 2nd Edition, Springer, pp. 327–329

Examples

library(CoopGame)
v=c(0,0,0,2,2,3,5)
centroidWeberSet(v)