[croikle]

Or perhaps the best move is to hide. With such a large range of time, almost any species you encounter will be either incredibly primitive (thus not so interesting, and not receptive to your signals), or tremendously advanced, and a serious existential threat. Faced with this choice, it's quite rational to avoid looking for the neighbors.

This doesn't really apply to the self-replication wave, but it is an argument against active SETI.