You can't compare Philip K. Dick to any other science fiction writer. About the only other author he can be fairly compared to at all is Franz Kafka - but a workingman's Kafka, shorn of all pretension or artiness. All his heros are the same besieged everyman as K., wrestling with elusive metaphysics, impossible transformations, a cosmic bureaucracy and a dysfunctional society - but also with overdue rent bills, intrusive advertising, and messy divorces.
Precogs show up in many of Philip K. Dick's works, but Dick himself was not particularly in the prediction business. Nearly every world he created, large (in his novels) or small (in stories like these) was a future dystopia. But whereas the dystopias of other sf writers make you shudder and think, "Yes, it could be like that... If Things Go On," Dick's have a different flavor, a different kind of immediacy.
And the reason for that is, that Philip K. Dick was not so much a science fiction writer as a prophet. He showed us a future that mirrored the present so faithfully that he could convince us of what he always felt - that dystopia is already here; apocalypse is already here; all you have to do (the original meaning of apocalypse) is tear away the veils.
Many people are going to take a fresh interest in Mr. Dick's writings because of the movie Minority Report. For them, I give this advice: go first to his novels (some of the best ones are "Ubik", "A Scanner Darkly", "Three Stigmata of Palmer Eldritch", "Do Androids Dream of Electric Sheep?"). You have to immerse yourself in his world to grasp where he's coming from, and short stories don't give you room to do that.
For those who already know his stuff, this book is a treat. Besides the great title story, you'll see the seeds of some of his novels here ("Palmer Eldritch" prefigured in "Days of Perky Pat", "Simulacrum" in "The Mold of Yancy", and "Ubik" in "What the Dead Men Say"). This is the fourth of five volumes Citadel has published of his complete short stories. This and the fifth volume are most worth owning. Once you become a fanatic, of course, you'll want to have them all. (There was once a single volume, shorter than this, of collected best short stories, but I believe it's out of print.)