drawShapleyValue {CoopGame}

Draw Shapley value for 3 or 4 players

Description

drawShapleyValue draws the Shapley value for 3 or 4 players.

Usage

drawShapleyValue(
  v,
  holdOn = FALSE,
  colour = NA,
  label = TRUE,
  name = "Shapley 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)

Alexandra Tiukkel

References

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

Aumann R.J. (2010) "Some non-superadditive games, and their Shapley values, in the Talmud", Int. Journal of Game Theory 39(1), pp. 3–10

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

Examples

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