minimalrightsvector {TUGLab} | R Documentation |
Minimal rights vector
Description
This function computes the minimal rights vector of a game.
Usage
minimalrightsvector(v, binary = FALSE)
Arguments
v |
A characteristic function, as a vector. |
binary |
A logical value. By default, |
Details
Given v\in G^N
, the utopia payoff of player i\in N
is defined as
M_i(N,v)=v(N)-v(N\backslash i)
.
The minimal right of player i\in N
is defined as m_i(N,v)=\max_{S:i\in S}(v(S)-\sum_{j\in S\backslash i}M_j(N,v))
.
Value
The minimal rights vector.
See Also
Examples
v <- c(0, 0, 0, 1, 1, 1, 2)
minimalrightsvector(v)
convexcheck(v)
minimalrightsvector(v) == c(v[1],v[2],v[3])
w <- c(0,0,0,4,7,6,10)
convexcheck(w)
minimalrightsvector(w) == c(w[1],w[2],w[3])
[Package TUGLab version 0.0.1 Index]