tauValue {CoopGame}

Compute tau-value

Description

Calculates the tau-value for a quasi-balanced TU game with n players.

Usage

tauValue(v)

Arguments

v

Numeric vector of length 2^n - 1 representing the values of the coalitions of a TU game with n players

Value

tau-value for a quasi-balanced TU game with n players

Author(s)

Johannes Anwander [e-mail]

Jochen Staudacher [e-mail]

References

Branzei R., Dimitrov D. and Tijs S. (2006) Models in cooperative game theory, Springer, p. 32

Tijs S. (1981) "Bounds for the core of a game and the t-value", In: Moeschlin, O. and Pallaschke, D. (Eds.): Game Theory and Mathematical Economics, North-Holland, pp. 123–132

Stach I. (2011) "Tijs value", Encyclopedia of Power, SAGE Publications, pp. 667–670

Examples

library(CoopGame)
tauValue(v=c(0,0,0,0,1,0,1))


#Example from article by Stach (2011)
library(CoopGame)
v=c(0,0,0,1,2,1,3)
tauValue(v) 
#[1] 1.2 0.6 1.2