| gatelyValue {CoopGame} | R Documentation |
Compute Gately point
Description
gatelyValue calculates the Gately point for a given TU game
Usage
gatelyValue(v)
Arguments
v |
Numeric vector of length 2^n - 1 representing the values of the coalitions of a TU game with n players |
Value
Gately point of the TU game or NULL in case the Gately point is not defined
Author(s)
Jochen Staudacher jochen.staudacher@hs-kempten.de
References
Gately D. (1974) "Sharing the Gains from Regional Cooperation. A Game Theoretic Application to Planning Investment in Electric Power", International Economic Review 15(1), pp. 195–208
Staudacher J. and Anwander J. (2019) "Conditions for the uniqueness of the Gately point for cooperative games", arXiv preprint, arXiv:1901.01485, 10 pages.
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
Narahari Y. (2015) Game Theory and Mechanism Design, World Scientific Publishing, pp. 455–456
Examples
library(CoopGame)
gatelyValue(c(0,0,0,1,1,1,3.5))
library(CoopGame)
v=c(0,0,0,4,0,3,6)
gatelyValue(v)
#Output (18/11,36/11,12/11):
#1.636364 3.272727 1.090909
#Example from original paper by Gately (1974)
library(CoopGame)
v=c(0,0,0,1170,770,210,1530)
gatelyValue(v)
#Output:
#827.7049 476.5574 225.7377