drawGatelyValue {CoopGame} | R Documentation |
drawGatelyValue draws the Gately point for 3 or 4 players.
drawGatelyValue( v, holdOn = FALSE, colour = NA, label = TRUE, name = "Gately Value" )
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 |
None.
Johannes Anwander anwander.johannes@gmail.com
Jochen Staudacher jochen.staudacher@hs-kempten.de
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
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)