absolutePublicGoodValue {CoopGame}

Compute absolute Public Good value

Description

absolutePublicGoodValue calculates the absolute Public Good value for a specified nonnegative TU game. Note that in general the absolute Public Good value is not an efficient vector, i.e. the sum of its entries is not always 1.

Usage

absolutePublicGoodValue(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 Good value for specified nonnegative game

Author(s)

Jochen Staudacher [e-mail]

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(1,2,3,4,0,0,0)
absolutePublicGoodValue(v)


v=c(0,0,0,0.7,11,0,15)
absolutePublicGoodValue(v) 
#[1] 26.7 15.7 26.0