drawPublicHelpIndex {CoopGame}

Draw Public Help index Theta for 3 or 4 players

Description

drawPublicHelpIndex draws the Public Help index Theta for a simple game with 3 or 4 players.

Usage

drawPublicHelpIndex(
  v,
  holdOn = FALSE,
  colour = NA,
  label = TRUE,
  name = "Public Help 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

Bertini C., Gambarelli G. and Stach I. (2008) "A public help index", In: Braham, M. and Steffen, F. (Eds): Power, freedom, and voting: Essays in Honour of Manfred J. Holler, pp. 83–98

Bertini C. and Stach I. (2015) "On Public Values and Power Indices", Decision Making in Manufacturing and Services 9(1), pp. 9–25

Stach I. (2016) "Power Measures and Public Goods", In: Nguyen, N.T. and Kowalczyk, R. (Eds.): Transactions on Computational Collective Intelligence XXIII, Springer, pp. 99–110

Examples

library(CoopGame)
v=c(0,0,0,1,1,0,1)
drawPublicHelpIndex(v)