From WaPo in an article on a paleontology dig that is yielding results suggesting T. Rex hunted as part of a pack:
The researchers are still exploring why the tyrannosaurs would have hunted together but believe a collective effort helped them compete against large, plant-eating dinosaurs.
No! T. Rex may have competed with other predators for prey, but they don’t compete with the prey itself.
They just eat them.
And just for fun …