coreCoverVertices {CoopGame}

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

Author(s)

Jochen Staudacher [e-mail]

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


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