Yes that's the explanation according to the article. But that seems sketchy. With such an algorithm the pool of potential candidates would quickly converge to 0. So I doubt the algorithm exactly does this.
> With such an algorithm the pool of potential candidates would quickly converge to 0.
From the sound of things, that may have been happening:
> Moreover, recruitment is not keeping pace with schools' need for teachers, thus leaving hundreds of classroom positions vacant which is affecting the educational progress of students all over Italy.