symmetrycheck {TUGLab} | R Documentation |
Symmetry check
Description
Given a game and two players, this function checks if those are symmetric players.
Usage
symmetrycheck(v, i, j, binary = FALSE, tol = 100 * .Machine$double.eps)
Arguments
v |
A characteristic function, as a vector. |
i |
The position of an individual coalition, as an integer. |
j |
The position of another individual coalition, as an integer. |
binary |
A logical value. By default, |
tol |
A tolerance parameter, as a non-negative number. |
Details
Let v\in G^N
. Players i,j \in N
are symmetric in v
if,
for each S \subset N
with i,j \in S
, v(S \setminus \{i\}) = v(S \setminus \{j\})
.
Value
TRUE
if i
and j
are symmetric in v
, FALSE
otherwise.
Examples
symmetrycheck(c(13,13,0,0,58,58,0),1,2) # players 1 and 2 are symmetric
[Package TUGLab version 0.0.1 Index]