publicGoodValue: Compute (normalized) Public Good value
In CoopGame: Important Concepts of Cooperative Game Theory
Description
Usage
Arguments
Value
Author(s)
References
Examples
View source: R/PublicGoodValueConcept.R
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
1
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
1
2
3
library(CoopGame)
v=c(0,0,0,0.7,11,0,15)
publicGoodValue(v)
CoopGame documentation built on Aug. 24, 2021, 1:07 a.m.
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Description Usage Arguments Value Author(s) References Examples
View source: R/PublicGoodValueConcept.R
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
1 |
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
1 2 3 | library(CoopGame)
v=c(0,0,0,0.7,11,0,15)
publicGoodValue(v)
|
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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