I'm assuming that there's a word missing from your quote. i.e. that the message you see is actually "Microsoft Internet Explorer has encountered a problem". (Without the word 'Explorer' in there I can make no sense of it at all).
I know absolutely nothing about Facebook or any games you can play on it, but I do know that very few of the 'regulars', here in AB's Technology section, would touch Internet Explorer with the proverbial bargepole. It's probably the worst browser you could possibly choose to use. So, if you're encountering problems when using it, the obvious solution would seem to be using a different browser. Firefox is by far the most popular browser among people who actively choose to use a specific browser (rather than just using the one which is already on their PC). Why not give it a try?
http://www.mozilla-europe.org/en/firefox/
Chris