isWeaklyConstantSumGame {CoopGame} | R Documentation |
Checks if a TU game with n players is weakly constant-sum.
In a weakly constant-sum game for any singleton coalition
the sums of the values of that singleton coalition
and its complement equal the value of
the grand coalition N
.
isWeaklyConstantSumGame(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 weakly constant-sum, else FALSE
.
Jochen Staudacher jochen.staudacher@hs-kempten.de
Staudacher J. and Anwander J. (2019) "Conditions for the uniqueness of the Gately point for cooperative games", arXiv preprint, arXiv:1901.01485, 10 pages.
library(CoopGame) v1=c(0,0,0,2,2,2,2) isWeaklyConstantSumGame(v1) #Example of a game that is not weakly constant-sum library(CoopGame) v2=c(0,0,0,40,30,130,100) isWeaklyConstantSumGame(v2) #Another example of a weakly constant-sum game library(CoopGame) v3=c(1,1,1,2, 7,7,7,7,7,7, 2,3,3,3, 4) isWeaklyConstantSumGame(v3)