belongsToCoreCover {CoopGame} | R Documentation |
belongsToCoreCover checks if the point is in the core cover
belongsToCoreCover(x, v)
x |
numeric vector containing allocations for each player |
v |
Numeric vector of length 2^n - 1 representing the values of the coalitions of a TU game with n players |
TRUE
if point belongs to core cover, FALSE
otherwise
Johannes Anwander anwander.johannes@gmail.com
Jochen Staudacher jochen.staudacher@hs-kempten.de
Tijs S.H. and Lipperts F.A.S. (1982) "The hypercube and the core cover of n-person cooperative games", Cahiers du Centre d' Etudes de Researche Operationelle 24, pp. 27–37
Branzei R., Dimitrov D. and Tijs S. (2006) Models in cooperative game theory, Springer, p. 21
Chakravarty S.R., Mitra M. and Sarkar P. (2015) A Course on Cooperative Game Theory, Cambridge University Press, pp. 45–46
library(CoopGame)
belongsToCoreCover(x=c(1,1,1), v=c(0,0,0,1,1,1,3))
library(CoopGame)
v <- c(0,0,0,3,3,3,6)
belongsToCoreCover(x=c(2,2,2),v)
#[1] TRUE
belongsToCoreCover(x=c(1,2,4),v)
#[1] FALSE