«Planet of Dreams» by James McKimmey Jr.

The climate was perfect, the sky was always blue, and–best of all–nobody had to work. What more could anyone want?
It was a small world, a tiny spinning globe, placed in the universe to weather and age by itself until the end of things. But because its air was good and its earth was fertile, Daniel Loveral had placed a finger upon a map and said, "This is the planet. This is the Dream Planet."
That was two years before, back on Earth. And now Loveral with his selected flock had shot through space, to light like chuckling geese upon the planet, to feel the effect of their dreams come true.
Loveral was sitting in his office, drumming his long fingers against his desk while the name, Atkinson, ticked through his brain like the sound of a sewing machine. Would he be the only one, Loveral asked himself, or was he just the first? In either case, it was up to Loveral, as leader and guiding hand, to stop this thing and stop it quickly.
Loveral stood up and put on his jacket, although there was no need for it, other than the formality it gave his figure. He stepped out of his office into a clear bright day, where the air was clean and fresh in his lungs, at once like frost and fire and sweet perfume. He walked along a winding path, which was bordered by slim-necked flowers and a short hedge whose even clipped lines were kept neat by tireless robot hands.