CoopGame (version 0.2.2)

coreCoverVertices: Compute core cover vertices

Description

Calculates the core cover for a given game vector

Usage

coreCoverVertices(v)

Arguments

v

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

Value

rows of the matrix are the vertices of the core cover

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)
coreCoverVertices(c(0,0,0,1,1,1,3))

# }
# NOT RUN {
library(CoopGame)
v <- c(0,0,0,3,3,3,6)
coreCoverVertices(v)
#       [,1] [,2] [,3]
# [1,]    3    0    3
# [2,]    0    3    3
# [3,]    3    3    0
# }