monotoniccheck {TUGLab} | R Documentation |
Monotonic check
Description
This function checks if the given game is monotonic.
Usage
monotoniccheck(v, binary = FALSE, instance = FALSE)
Arguments
v |
A characteristic function, as a vector. |
binary |
A logical value. By default, |
instance |
A logical value. By default, |
Details
A game v\in G^N
is monotonic if v(S) \le v(T)
for all S, T \in 2^N
such that S\subset T
.
Value
TRUE
if the game is monotonic, FALSE
otherwise. If instance=TRUE
and the game is not monotonic, the function also returns the positions (binary order positions if binary=TRUE
; lexicographic order positions otherwise) of a pair of coalitions violating monotonicity.
See Also
additivecheck, superadditivecheck, zeromonotoniccheck
Examples
v <- c(0, 0, 1, 5, 1, 1, 2)
monotoniccheck(v, binary=FALSE, instance=TRUE)
[Package TUGLab version 0.0.1 Index]