simplifiedModiclus {CoopGame}

Compute simplified modiclus

Description

Computes the simplified modiclus of a TU game with a non-empty imputation set and n players. Note that the simplified modiclus is a member of the set of preimputations.

Usage

simplifiedModiclus(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 simplified modiclus of the specified TU game.

Author(s)

Jochen Staudacher [e-mail]

Johannes Anwander [e-mail]

References

Tarashnina S. (2011) "The simplified modified nucleolus of a cooperative TU-game", TOP 19(1), pp. 150–166

Examples

library(CoopGame)
simplifiedModiclus(c(0, 0, 0, 1, 1, 0, 1))


#Second example:
#Estate division problem from Babylonian Talmud with E=100,
#see e.g. seminal paper by Aumann & Maschler from 1985 on
#'Game Theoretic Analysis of a Bankruptcy Problem from the Talmud'
library(CoopGame)
v<-bankruptcyGameVector(n=3,d=c(100,200,300),E=100)
simplifiedModiclus(v)
#[1]  33.33333 33.33333 33.33333