perCapitaNucleolus {CoopGame}

Compute per capita nucleolus

Description

perCapitaNucleolus calculates the per capita nucleolus for a TU game with a non-empty imputation set specified by a game vector. Note that the per capita nucleolus is a member of the imputation set.

Usage

perCapitaNucleolus(v)

Arguments

v

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

Value

per capita nucleolus for a specified TU game with n players

Author(s)

Jochen Staudacher [e-mail]

Johannes Anwander [e-mail]

References

Young H.P. (1985) "Monotonic Solutions of cooperative games", Int. Journal of Game Theory 14(2), pp. 65–72

Examples

library(CoopGame)
perCapitaNucleolus(c(1, 1, 1, 2, 3, 4, 5))


#Example from YOUNG 1985, p. 68
v<-costSharingGameVector(n=3,C=c(15,20,55,35,61,65,78))
perCapitaNucleolus(v)
#[1]  0.6666667  1.1666667 10.1666667