imputationsetVertices {CoopGame}

Compute vertices of imputation set

Description

imputationsetVertices calculates the imputation set vertices for given game vector.

Usage

imputationsetVertices(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 imputation set

Author(s)

Michael Maerz

Franz Mueller

Jochen Staudacher [e-mail]

References

Peleg B. and Sudhoelter P. (2007) Theory of cooperative games, 2nd Edition, Springer, p. 20

Maschler M., Solan E. and Zamir S. (2013) Game Theory, Cambridge University Press, p. 674

Osborne M.J. and Rubinstein A. (1994) A Course in Game Theory, MIT Press, p. 278

Narahari Y. (2015) Game Theory and Mechanism Design, World Scientific Publishing, p. 407

Examples

library(CoopGame)
imputationsetVertices(c(0,0,0,1,1,1,2))


library(CoopGame)
v = c(2, 4, 5, 18, 24, 9, 24)

imputationsetVertices(v)

#      [,1] [,2] [,3]
#[1,]   15    4    5
#[2,]    2   17    5
#[3,]    2    4   18