I've done a fair amount of reading on Vichy France. Its leaders bet on cooperation with Germany; that is to say, they figured that they could exchange concessions with the Germans. Perhaps needless to say, it turned out to be a one-way street -- and as their policy yielded no visible benefits, the Vichy regime grew increasingly unpopular. So it is with Abbas. His failure to extract any concessions from Israel at all is leading to his downfall, and the downfall of the PLO.
Firebomb thrown during demonstration in northern Israeli town of Umm al Fahm (Haaretz)