I think the "time wave" mechanics help avoided some time travel paradox, but it did not solve all of them. Would love to see it get release to see how they handle that.
For example:
Scenario 1: you build a building in the past. You go back to present and build a different building at the exact location. What happened when the time wave reached present?
Scenario 2: you destroy their miner house and some unit of them to take over a mine. You exploit the mine and use that resource to build the time travel building, then send all the unit you just used to take the mine back in time, and use these to take over the exact same mine in the past, then started exploiting the mine from the past. What is the state of the mine and your amount of resource when time wave reach present?
Scenario 3: A go back to the beginning and wipe out B, but lose all his unit in the process. B attack A in present and wipe out A. Who win?
Scenario 4: A go back to a far away past and wipe out B. B go back to a near past and build up his fortress to make it very strong before the time wave reach it. What happen in the near past when the time wave from far past reach it?
Wow, I can make up even more scenario. I hope the game can handle these.