1 This section recalls basics of $\CID$ formerly defined in~\cite{fgb11:ip}.
3 The set of all $k-$strategies
4 is furthere denoted as to $\mathbb{S}_\mathsf{k}$.
7 following notations are used:
8 $\llbracket0;N\rrbracket=\{0,1,\hdots,N\}$,
9 and $\mathds{B}=\{0,1\}$.
11 In the sequel $S^{n}$ denotes the $n^{th}$ term of a sequence $S$ and
12 $V_{i}$ is for the $i^{th}$ component of a vector $V$.
13 Let us recall that for $\mathsf{k} \in \mathds{N}^\ast$,
14 a $k-$\emph{strategy} %adapter}
15 is a sequence which elements belong into $\llbracket 0, \mathsf{k-1} \rrbracket$. The term ``strategy'' will be used instead
16 of $k-$strategy when the context will easily