belongsToImputationset: Check if point is imputation
In CoopGame: Important Concepts of Cooperative Game Theory

Description Usage Arguments Value Author(s) References Examples

belongsToImputationset checks if the point belongs to the imputation set

1	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)