equalPropensityToDisrupt: Compute equal propensity to disrupt

In CoopGame: Important Concepts of Cooperative Game Theory

Description

equalPropensityToDisrupt calculates the equal propensity to disrupt for a TU game with n players and a specified coalition size k. See the original paper by Littlechild & Vaidya (1976) for the formula with general k and the paper by Staudacher & Anwander (2019) for the specific expression for k=1 and interpretations of the equal propensity to disrupt.

Usage

equalPropensityToDisrupt(v, k = 1)

Arguments

v	Numeric vector of length 2^n - 1 representing the values of the coalitions of a TU game with n players
k	is the fixed coalition size to be considered when calculating the equal propensity to disrupt

Value

the value for the equal propensity to disrupt

Author(s)

Johannes Anwander [e-mail]

Jochen Staudacher [e-mail]

References

Littlechild S.C. and Vaidya K.G. (1976) "The propensity to disrupt and the disruption nucleolus of a characteristic function game", Int. Journal of Game Theory 5(2), pp. 151–161

Staudacher J. and Anwander J. (2019) "Conditions for the uniqueness of the Gately point for cooperative games", arXiv preprint, arXiv:1901.01485, 10 pages.

Examples

library(CoopGame)
v=c(0,0,0,4,0,3,6)
equalPropensityToDisrupt(v, k=1)

CoopGame documentation built on Aug. 24, 2021, 1:07 a.m.