alternatehistory.com

I was playing a game of Darkest Hour, and when it came time to invade France, I had several options:

--Invade France and Belgium (OTL)
--Invade France, Belgium, and the Netherlands
--Invade France
--Invade France and Switzerland

Because, IIRC, the invasion of Belgium was what brought Britain and eventually the US into the war, I chose to only invade France. So far, the war is coming to a close without involvement from anyone beyond the continent.

So I was wondering:

Is it actually possible that Germany could chose to only invade France? And what are the chances that this would prevent Anglo-American involvement in the war?

Could such a choice increase the chances of Germany winning the war?
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