So, I'm one of those people who's motto is "never less than three".
I remember playing solo once, just to test if it would work (that's a lie: I was supposed to study English Litterature at University, and wasn't really in the mood :PPP ), and I used 3 investigators.
I played 2 players games sometimes (me and my fiancée or some other friend), but we always picked 2 investigators each: it used to work, but was slightly messy. But had we used only 1 investigator each, the game would have been impossibile to beat (unless you just play to stock up on guns and blast the GOO away- which is not the funniest playstyle in the world).
We needed to fix things so that a 2 player game would work fine and quick.
So, here's Gott's simple rule for two players:
Each turn, the first player plays twice. Period. It seems crude, but works.
Example: two players are using Joe Diamond and Leo Anderson.
Joe is the first player.
So, after the Upkeep phase, Joe plays his turn (Movement, Encounter Phase and Other World encounters). Then Leo does the same, and after him Joe plays again. Then follows the Mythos Phase, and the Upkeep again.
I know it sounds odd, but it works fine.
It's NOT THE BEST way to play a game though: there's a "bug", you know: if the first player has a Find gate spell, he may enter a gate on his first turn, then cast Find gate on his second, and immediatly close/seal the Gate (if able-and lucky enough).
Unless you really want to allow that possibility, you can simply rule that casting Find gate spells make you losing the rest of your turn.
Again, let me repeat: the above rule is just meant to play 2 players games where players do not fancvy picking 2 investigators each.
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