absolutePublicHelpChiValue {CoopGame}

Compute absolute Public Help value Chi

Description

Calculates the absolute Public Help value Chi for a specified nonnegative TU game. Note that in general the absolute Public Help value Chi is not an efficient vector, i.e. the sum of its entries is not always 1. Hence no drawing routine for the absolute Public Help value Chi is provided. Note that the greek letter Xi (instead of Chi) was used in the original paper by Bertini and Stach (2015).

Usage

absolutePublicHelpChiValue(v)

Arguments

v

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

Value

Absolute Public Help value Chi for specified nonnegative game

Author(s)

Jochen Staudacher [e-mail]

References

Bertini C. and Stach I. (2015) "On Public Values and Power Indices", Decision Making in Manufacturing and Services 9(1), pp. 9–25

Examples

library(CoopGame)
v=c(0,0,0,2,2,0,2)
absolutePublicHelpChiValue(v)