This is the best explanation I can find -- And it hints that even Philip Dick wasn't all that convinced of the outcome.
And I quote: "Dick's stories typically focus on the fragile nature of what is "real" and the construction of personal identity. His stories often become surreal fantasies as the main characters slowly discover that their everyday world is actually an illusion constructed by powerful external entities (such as in Ubik), vast political conspiracies, or simply from the vicissitudes of an unreliable narrator. "All of his work starts with the basic assumption that there cannot be one, single, objective reality," writes science fiction author Charles Platt. "Everything is a matter of perception. The ground is liable to shift under your feet. A protagonist may find himself living out another person's dream, or he may enter a drug-induced state that actually makes better sense than the real world, or he may cross into a different universe completely."
"The existence of three apparent minority reports suggests the possibility of three future time paths, all existing simultaneously, any of which an individual could choose to follow or be sent along following an enticement (as in Anderton's being told he was going to murder an unknown man). In this way, the time-paths overlap, and the future of one is able to affect the past of another. It is in this way that the story weaves a complicated web of crossing time paths and makes a linear journey for Anderton harder to identify. It is the theory of multiple-futures which allows the precogs of precrime to be of benefit, because if only one time-path existed, the predictions of the precogs would be worthless, since no possibility would exist of altering the future."
https://en.wikipedia.org/wiki/The_Minority_Report#Multiple_Time_Paths
https://en.wikipedia.org/wiki/Philip_K._Dick