drawNormalizedBanzhafIndex: draw normalized Banzhaf Index for 3 or 4 players

In CoopGame: Important Concepts of Cooperative Game Theory

Description

drawNormalizedBanzhafIndex 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 index for simple games, because only in this case will the Banzhaf index be efficient.

Usage

drawNormalizedBanzhafIndex(
  v,
  holdOn = FALSE,
  colour = NA,
  label = TRUE,
  name = "Normalized Banzhaf index"
)

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)

Johannes Anwander [e-mail]

Jochen Staudacher [e-mail]

References

Peters H. (2015) Game Theory: A Multi-Leveled Approach, 2nd Edition, Springer, pp. 367–370

Chakravarty S.R., Mitra M. and Sarkar P. (2015) A Course on Cooperative Game Theory, Cambridge University Press, pp. 118–119

Bertini C. and Stach I. (2011) "Banzhaf voting power measure", Encyclopedia of Power, SAGE Publications, pp. 54–55

Examples

library(CoopGame)
v<-weightedVotingGameVector(n=3,w=c(50,30,20),q=c(67))
drawNormalizedBanzhafIndex(v)

CoopGame documentation built on Aug. 24, 2021, 1:07 a.m.