drawNormalizedBanzhafValue {CoopGame}

draw normalized Banzhaf value for 3 or 4 players

Description

drawNormalizedBanzhafValue draws the Banzhaf Value for 3 or 4 players.
Drawing any kind of Banzhaf values only makes sense from our point of view for the normalized Banzhaf value, because only in this case will the Banzhaf value be efficient.

Usage

drawNormalizedBanzhafValue(
  v,
  holdOn = FALSE,
  colour = NA,
  label = TRUE,
  name = "Normalized Banzhaf value"
)

Arguments

v

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

holdOn

draws in a existing plot

colour

draws the geometric object (i.e. point or convex polyhedron) with this colour, all colour names can be seen with "colors()"

label

activates the labels for the figure

name

set a name for the label

Value

None.

Author(s)

Jochen Staudacher [e-mail]

References

Gambarelli G. (2011) "Banzhaf value", Encyclopedia of Power, SAGE Publications, pp. 53–54

Stach I. (2017) "Sub-Coalitional Approach to Values", In: Nguyen, N.T. and Kowalczyk, R. (Eds.): Transactions on Computational Collective Intelligence XXVI, Springer, pp. 74–86

Examples

library(CoopGame)
drawNormalizedBanzhafValue(c(0,0,0,1,2,3,6))


#Example from paper by Gambarelli (2011)
library(CoopGame)
v=c(0,0,0,1,2,1,3)
drawNormalizedBanzhafValue(v)