belongsToCoreCover {CoopGame} | R Documentation |
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
Author(s)
Johannes Anwander anwander.johannes@gmail.com
Jochen Staudacher jochen.staudacher@hs-kempten.de
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
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