isSymmetricGame {CoopGame} | R Documentation |
isSymmetricGame checks if a TU game is symmetric. A TU game is symmetric if and only if the values of all coalitions containing the same number of players are identical.
isSymmetricGame(v)
v |
Numeric vector of length 2^n - 1 representing the values of the coalitions of a TU game with n players |
TRUE
if the game is symmetric, else FALSE
.
Jochen Staudacher jochen.staudacher@hs-kempten.de
Peleg B. and Sudhoelter P. (2007) Theory of cooperative games, 2nd Edition, Springer, p. 12
Chakravarty S.R., Mitra M. and Sarkar P. (2015) A Course on Cooperative Game Theory, Cambridge University Press, p. 26
library(CoopGame) isSymmetricGame(c(0,0,0,1,1,1,2)) #Example of a symmetric game library(CoopGame) v1<-c(3,3,3,10,10,10,17) isSymmetricGame(v1) #Example of a game which is not symmetric library(CoopGame) v2=c(1:7) isSymmetricGame(v2)