If our company and our competitors have agreed to get you to work at the same time. Where you choose to work with (in the case of equal levels of both companies.
If our company and its competitors, we agreed to get you to work at the same time. You can choose to work with that. (In the case of the two companies in the same.
If our company and our rival company agreed to accept you to work at the same time, you will choose to do work anywhere else. (in the case of both companies were equal.