Would the Grandfather Paradox Actually Happen?

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I bet there will be no paradoxes because what we think of as time-travel is actually multiverse travel. And each universe is independent of all the others. (It's a decent theory.)

An explanation for the question of why we don't have time travelers from the future is that traveling to the past before the invention of the time machine would not be possible and traveling to the past would be limited at one specific point in time.

Being visited by travelers from future also raises the issue that the future already exist, and also it raises the question if the future is already written, if we perceive our past to be written then the past from the time traveler which is our future is written, from his perspective.

That would be another way to put it, although it sounds similar to an idea that someone proposed, that time doesn't exist, and what we perceive as the passage of time, would be more like going through infinite universes with the tiniest smallest change.

No, each universe would have its own self-contained causality matrix, unaffected by the cause & effect of other self-insulating universes. If I travel through whatever barrier separates Universe A from Universe B and kill the version of myself living in Universe B at a slightly different time-index, there'd be no paradox. The version of me from Universe A would dimply be "bounced" into Universe B, no fuss no muss.

NOTE: The above was inspired in part by an episode of Futurama.