Beyond Sklansky-Chubukov

[Gonso]

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The SC ratings are flawed unless you are playing against a random hand. You should look up the rating of your hand against his calling range, which is what you are trying to do. This will determine your range to go allin with.

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They're not flawed, but you can exploit your opponent better if he is not playing perfectly. Figure out what his range is, and apply what you know correctly. Problem here is playing "perfectly" though, at least as asked:

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However, the question I was asking was what should our all-in range be if we wanted to maximize our EV (assuming our opponent plays perfectly like you described).

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... I take it we're talking typical short stack jam/fold strategy only.

The equity issues above are balanced out by the frequency which an opposing player is able to correctly call a given hand.

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This is why a hand like A9o does well in SC rating, even though it is dominated most of the time. 45s is a better allin hand imo while it does no do very well in SC ratings. This while A9o has a rating of 81.7 45s had only 4.85.

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A9 is a vastly, vastly better pushing hand than 54s, because almost any hand is correct to call 54s - it doesn't require much money in the pot for all hands to correctly call. The problem here is that you're putting a random hand on a range. If you're jamming from the SB you'd be treating his holding as a random hand anyway. If you saw a card or some kind of tell where you could guess a range like AA-KK, AK-AJ, KQs, then you already know you can do better than just working by the SCs. Otherwise, you could just as well see how A9o and 54s do against hands like 95, 55, 77, and seeing how much better A9o does.

Obligatory mention of SNG PT goes here. IF you're in this SS jam/fold scenario and can put ranges on opponent, mess with SNG PT.