Can we combat against deepfakes? I came across 'Amber'(https://ambervideo.co/) where they are claiming that they have trained their AI to find patterns emerging due to artificially created videos which are invisible to naked eye. 

I am wondering that the people who are creating deepfakes can as well their AI's to remove these imperfections and so the problem reduces to 'cat-mouse' game where having more resources(to train their AI) is more crucial.

I do not work in AI and vision and so I may be missing some trivial points in the area. I would really appreciate if detailed explanation or relevant resources are given.

Edit: Most of the people who do manipulate the media news or create fake news could afford more resources than an average citizen. So, is the future is really going to be dark where only few strong have even more control on the society than today?

I mean even though there are fake photos created by photo shop, most of the good photo-shopped photos do take a long time to make. But if AIs can be trained to do that then it is more about having large resources. Are there related works which give hope to know real from fakes?

P.S.: I realize that after the edit, the question also went tangential to the topic-tags here. Please let me if there are relevant tags.
I think this game will go pretty crazy, because, at some point, the generator AI will be able to generate absolutely perfect images. Actually, no, just perfect enough that no AI can be sure whether they are real or fake.

So, I think the AI war will go onto more than the image, the detector AI will probably evolve to analyze whether this video is logically plausible, for example, by tracking the celebrities' position to prove that it is impossible that he/she was, for example, let's put it this way, being unloyal to his/her partner.

I mean, currently, AI can tell whether an image is fake or not better than human because it has seen about a million times more samples than us, but if we know who the person in the image is and we are as stalky as the AI I just described, we can probably work out that this image is implausible.

Of course, there will be counter measurements to that. But, at that point, we might as well just let the AI rule the world, given that it will have become this smart (lol).

But, seriously, if it's smart enough to think this far ahead in this 'real world' problem, then strong AI is nigh.