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.
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.
instance
A logical value. By default, instance=FALSE.
Details
A game \(v\in G^N\) is monotonic if \(v(S) \le v(T)\) for all \(S, T \in 2^N\) such that \(S\subset T\).