drawShapleyShubikIndex {CoopGame}

Draw Shapley-Shubik index for 3 or 4 players

Description

drawShapleyShubik draws the Shapley-Shubik index simple game with 3 or 4 players.

Usage

drawShapleyShubikIndex(
  v,
  holdOn = FALSE,
  colour = NA,
  label = TRUE,
  name = "Shapley-Shubik 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)

Jochen Staudacher [e-mail]

References

Shapley L.S. and Shubik M. (1954) "A method for evaluating the distribution of power in a committee system". American political science review 48(3), pp. 787–792

Shapley L.S. (1953) "A value for n-person games". In: Kuhn, H., Tucker, A.W. (Eds.), Contributions to the Theory of Games II, Princeton University Press, pp. 307–317

Peters H. (2015) Game Theory: A Multi-Leveled Approach, 2nd Edition, Springer, pp. 156–159

Maschler M., Solan E. and Zamir S. (2013) Game Theory, Cambridge University Press, pp. 748–781

Stach I. (2011) "Shapley-Shubik index", Encyclopedia of Power, SAGE Publications, pp. 603–606

Examples

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