tauvalue {TUGLab} | R Documentation |
\tau
-value
Description
Given a game, this function computes its \tau
-value.
Usage
tauvalue(v, binary = FALSE)
Arguments
v |
A characteristic function, as a vector. |
binary |
A logical value. By default, |
Details
The \tau
-value of v\in G^N
is given by
\tau(v)=m(v)+\alpha (M(v)-m(v)),
where M(v)
is the vector of utopia payoffs, m(v)
is the vector of minimal rights, and \alpha
is the value for which \sum_{i\in N}\tau_i(v)=v(N)
.
Value
The \tau
-value of the game, as a vector.
References
Tijs, S. H. (1981). Bounds for the core of a game and the \tau
-value. In O. Moeschlin and D. Pallaschke (Eds.), Game theory and mathematical economics (pp. 123-132).
See Also
minimalrightsvector, utopiapayoffsvector.
Examples
tauvalue(c(0,0,0,0,10,40,30,60,10,20,90,90,90,130,160))
# What if the game is a cost game?
cost.v <- c(2,2,2,3,4,4,5) # cost game
-tauvalue(-cost.v) # tau-value of the cost game
[Package TUGLab version 0.0.1 Index]