Given a game and an allocation, this function computes the excess of each coalition.
Usage
excesses(v, binary = FALSE, x)
Value
The excesses of all coalitions, as a vector in binary order if binary=TRUE and in lexicographic order otherwise.
Arguments
v
A characteristic function, as a vector.
binary
A logical value. By default, binary=FALSE. Should be set to TRUE if v is introduced in binary order instead of lexicographic order.
x
An allocation, as a vector.
Details
Given a game \(v\in G^N\) and an allocation \(x\), the excess of coalition \(S \in 2^N\)
with respect to \(x\) is defined as \(e(x,S)=v(S)-x(S)\), where \(x(S)=\sum_{i\in S} x_i\).