iskConvexGame {CoopGame} | R Documentation |
iskConvexGame checks if a TU game is k-convex. A TU game is k-convex if and only if its k-cover exists and is convex. See section 7.1 of the book by Driessen for more details
iskConvexGame(v, k)
v |
Numeric vector of length 2^n - 1 representing the values of the coalitions of a TU game with n players |
k |
An integer specifying k |
TRUE
if the game is k-convex, else FALSE
Jochen Staudacher jochen.staudacher@hs-kempten.de
Driessen T. (1998) Cooperative Games, Solutions and Applications, Springer, p. 171–178
library(CoopGame) iskConvexGame(v=c(0,0,0,9,9,12,18), k=1) # Two examples motivated by the book by T. Driessen, p. 175: # # The following game is 2-convex library(CoopGame) alpha = 0.4 v=c(0,0,0,alpha,alpha,0,1) iskConvexGame(v,2) # The following game is not 2-convex library(CoopGame) alpha = 0.7 v=c(0,0,0,alpha,alpha,0,1) iskConvexGame(v,2)