drawNucleolus {CoopGame} | R Documentation |
drawNucleolus draws the nucleolus for 3 or 4 players.
drawNucleolus(v, holdOn = FALSE, colour = NA, label = TRUE, name = "Nucleolus")
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
Schmeidler D. (1969) "The nucleolus of a characteristic function game", SIAM Journal on applied mathematics 17(6), pp. 1163–1170
Kohlberg E. (1971) "On the nucleolus of a characteristic function game", SIAM Journal on applied mathematics 20(1), pp. 62–66
Kopelowitz A. (1967) "Computation of the kernels of simple games and the nucleolus of n-person games", Technical Report, Department of Mathematics, The Hebrew University of Jerusalem, 45 pages.
Megiddo N. (1974) "On the nonmonotonicity of the bargaining set, the kernel and the nucleolus of a game", SIAM Journal on applied mathematics 27(2), pp. 355–358
Peleg B. and Sudhoelter P. (2007) Theory of cooperative games, 2nd Edition, Springer, pp. 82–86
library(CoopGame) v=c(0,0,0,1,1,0,3) drawNucleolus(v) #Visualization for estate division problem from Babylonian Talmud with E=300, #see e.g. seminal paper by Aumann & Maschler from 1985 on #'Game Theoretic Analysis of a Bankruptcy Problem from the Talmud' library(CoopGame) v<-bankruptcyGameVector(n=3,d=c(100,200,300),E=300) drawNucleolus(v)