Community Forums

sometime in the late seventies or early 80s I read a book that I thought was called something like..."1001 short short sci fi stories".  It was edited (I think) by Isaac Asimov and the stories were sometimes no more than a page long.  some of them were fantastic and have stayed with me all this time although the names of the authors haven't.  There was one called Sanity Claus about a child having a 'development' test as it responded to things in Santa's sack.  There was one about a machine that could make anything you asked for.  In another - called Trace - a lost motorist is taken in by a kindly old man who turns out the be the devil, performing his sole kind act for the century.  I remember one had an world ending scenario brought on by a writing competition between bob silverberg and asimov. I have been looking without success for it for a long time now and assume I have misremembered the anthology's name.  can ANYONE help me??