The Seer and The Mindreader

There is a massive debate that remains unsolved to this day. Who would win if a Seer that could see the future and a Mindreader went against each other head-to-head?

Some would say it was the Seer since they would always be one step ahead, seeing exactly what the Mindreader would do in the future. But others would say it was the Mindreader since as soon as the Seer saw something, the Mindreader would know and would react appropriately.

But here was the problem…

The Seer would have seen the Mindreader's reaction using his abilities and would know how they would act, so they would still win, right? No, even so, the Mindreader would have also seen his actions in the thoughts of the Seer and would know that the Seer knew and would thus change them accordingly.