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)