drawGatelyValue {CoopGame}

draw Gately point for 3 or 4 players

Description

drawGatelyValue draws the Gately point for 3 or 4 players.

Usage

drawGatelyValue(
  v,
  holdOn = FALSE,
  colour = NA,
  label = TRUE,
  name = "Gately 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)

Johannes Anwander [e-mail]

Jochen Staudacher [e-mail]

References

Gately D. (1974) "Sharing the Gains from Regional Cooperation. A Game Theoretic Application to Planning Investment in Electric Power", International Economic Review 15(1), pp. 195–208

Staudacher J. and Anwander J. (2019) "Conditions for the uniqueness of the Gately point for cooperative games", arXiv preprint, arXiv:1901.01485, 10 pages.

Littlechild S.C. and Vaidya K.G. (1976) "The propensity to disrupt and the disruption nucleolus of a characteristic function game", Int. Journal of Game Theory 5(2), pp. 151–161

Narahari Y. (2015) Game Theory and Mechanism Design, World Scientific Publishing, pp. 455–456

Examples

library(CoopGame)
drawGatelyValue(c(0,0,0,1,1,1,3.5))


#Example from original paper by Gately (1974):
library(CoopGame)
v=c(0,0,0,1170,770,210,1530)
drawGatelyValue(v)