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FTL is the only thing that makes it applicable to game theory. If there is no import to respond instantly, then there is no imperative to respond.
The query is dependent on the hypothetical that the instant someone spots you in the dark Forrest they have an option of removing you from the game unless you remove them first.
So does going to war with an alien race, or even finding another sentient race? How are you supposing these aliens are finding every sentient race in the galaxy if they can't push a search signal faster than an electron? It would take thousands of years for a signal to travel to the closest potential suitable planet, let alone every suitable planet.
The theory itself requires a suspense in disbelief, as do any that pertain to encounters of the third kind. I would say that the limitations in physics that prevent the possibility of FTL are of the same order and magnitude that prevent us from contacting aliens.
Not at all, there is nothing physically impossible about someone engaging on projects that take centuries or millennia to complete, it just requires a lot of patience and effort. Finding or even attacking an alien species does not fundamentally require anything disallowed by physics, it just requires a long timescale to do slower than light. My assumption was just that any hostile aliens would simply conduct those hostilities over very long periods of time. Having interstellar travel at all, assuming no ftl, sort of implies a willingness to undergo these kinds of long term efforts anyway, and it doesn't seem absurd to imagine that anyone with the technology to have those kinds of energies at their disposal might also have very advanced medical technology, such that they might live a very long time, which could lend itself to more long term thinking.