publicGoodValue {CoopGame}R Documentation

Compute (normalized) Public Good value

Description

Calculates the (normalized) Public Good value for a specified nonnegative TU game. Note that the normalized Public Good value is sometimes also referred to as Holler value in the literature. Our function implements the formula from Definition 5.4, p. 19, in the paper by Bertini and Stach from 2015.

Usage

publicGoodValue(v)

Arguments

v

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

Value

Public Good value for specified nonnegative TU game

Author(s)

Jochen Staudacher jochen.staudacher@hs-kempten.de

References

Holler M.J. and Li X. (1995) "From public good index to public value. An axiomatic approach and generalization", Control and Cybernetics 24, pp. 257–270

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(0,0,0,0.7,11,0,15)
publicGoodValue(v)


[Package CoopGame version 0.2.2 Index]