CoopGame (version 0.2.2)

belongsToCoreCover: Check if point is core cover element

Description

belongsToCoreCover checks if the point is in the core cover

Usage

belongsToCoreCover(x, v)

Arguments

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

Value

TRUE if point belongs to core cover, FALSE otherwise

References

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

Examples

# NOT RUN {
library(CoopGame)
belongsToCoreCover(x=c(1,1,1), v=c(0,0,0,1,1,1,3))

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