drawCentroidCore {CoopGame}

draw centroid of the core for 3 or 4 players

Description

drawCentroidCore draws the centroid of the core for 3 or 4 players.

Usage

drawCentroidCore(
  v,
  holdOn = FALSE,
  colour = NA,
  label = TRUE,
  name = "centroid of core"
)

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

Gillies D.B. (1953) Some Theorems on n-person Games, Ph.D. Thesis, Princeton University Press.

Aumann R.J. (1961) "The core of a cooperative game without side payments", Transactions of the American Mathematical Society 98(3), pp. 539–552

Peleg B. and Sudhoelter P. (2007) Theory of cooperative games, 2nd Edition, Springer, pp. 27–49

Maschler M., Solan E. and Zamir S. (2013) Game Theory, Cambridge University Press, pp. 686–747

Osborne M.J. and Rubinstein A. (1994) A Course in Game Theory, MIT Press, pp. 257–275

Examples

library(CoopGame)
v <-c(1,2,3,60,60,60,142)
drawCentroidCore(v,colour="green")