belongsToImputationset {CoopGame} | R Documentation |
belongsToImputationset checks if the point belongs to the imputation set
belongsToImputationset(x, v)
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 |
TRUE
for a point belonging to the imputation set and FALSE
otherwise
Johannes Anwander anwander.johannes@gmail.com
Jochen Staudacher jochen.staudacher@hs-kempten.de
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
library(CoopGame)
belongsToImputationset(x=c(1,0.5,0.5), v=c(0,0,0,1,1,1,2))
library(CoopGame)
v=c(0,1,2,3,4,5,6)
#Point belongs to imputation set:
belongsToImputationset(x=c(1.5,1,3.5),v)
#Point does not belong to imputation set:
belongsToImputationset(x=c(2.05,2,2),v)