What is the situation with the naming of commercial organizations internationally?

Question

Form style

Roughly speaking, can there be more than one Electronic Arts or ASUS in the world, simply because the owners of one organization are based in one country and others in another? Who regulates such issues, if they are regulated at all?

Answer 1

Yes, of course it can.
Registered trademarks can even overlap - as long as they are in different trademark classes.

Answer 2

Even in the same city they can match.