And then we consider the concept of reduced sentences for a plea. A plea bargain can allow one to consider pleading guilty for a crime which was not committed, but is too costly or improbable to defend. So we do get people confessing things they didn't do.

Also we get the even further stage in that officers are allowed to lie about a reduced sentence being offered for a plea. And when it comes to trial the offer is no where to be found, but the confession remains.