CoopGame (version 0.2.2)

isSymmetricGame: Check if game is symmetric

Description

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.

Usage

isSymmetricGame(v)

Arguments

v

Numeric vector of length 2^n - 1 representing the values of the coalitions of a TU game with n players

Value

TRUE if the game is symmetric, else FALSE.

References

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

Examples

# NOT RUN {
library(CoopGame)
isSymmetricGame(c(0,0,0,1,1,1,2))

# }
# NOT RUN {
#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)
# }
# NOT RUN {
# }