CoopGame (version 0.2.2)

modiclus: Compute modiclus

Description

Calculates the modiclus of a TU game with a non-empty imputation set and n players. Note that the modiclus is also know as the modified nucleolus in the literature. Due to complexity of modiclus computation we recommend to use this function for at most n=11 players. Note that the modiclus is a member of the set of preimputations.

Usage

modiclus(v)

Arguments

v

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

Value

Numeric vector of length n representing the modiclus (aka modified nucleolus) of the specified TU game.

References

Peleg B. and Sudhoelter P. (2007) Theory of cooperative games, 2nd Edition, Springer, pp. 124--132

Sudhoelter P. (1997) "The Modified Nucleolus. Properties and Axiomatizations", Int. Journal of Game Theory 26(2), pp. 147--182

Sudhoelter P. (1996) "The Modified Nucleolus as Canonical Representation of Weighted Majority Games", Mathematics of Operations Research 21(3), pp. 734--756

Examples

# NOT RUN {
library(CoopGame)
modiclus(c(1, 1, 1, 2, 3, 4, 5))

# }
# NOT RUN {
library(CoopGame)
modiclus(c(0, 0, 0, 0, 5, 5, 8, 9, 10, 8, 13, 15, 16, 17, 21))
#[1] 4.25 5.25 5.75 5.75
# }
# NOT RUN {
# }