| modiclus {CoopGame} | R Documentation |
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.
Author(s)
Jochen Staudacher jochen.staudacher@hs-kempten.de
Johannes Anwander anwander.johannes@gmail.com
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
library(CoopGame)
modiclus(c(1, 1, 1, 2, 3, 4, 5))
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