modiclus: Compute modiclus
In CoopGame: Important Concepts of Cooperative Game Theory

Description Usage Arguments Value Author(s) References Examples

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.

1	modiclus(v)

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

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

Jochen Staudacher jochen.staudacher@hs-kempten.de

Johannes Anwander anwander.johannes@gmail.com

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

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