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Say hero is on OTT and has enough behind for two pot sized bets to be all in OTR.
I think we need to go back to this part with an example that leads up to this turn decision and then to the river.
100 big blind no limit holdem 3 handed.
button raises 3x, small blind calls, big blind calls.
flop(9bb) A65r
checks to button, button bets 6bb, small blind folds, big blind calls.
turn(21bb) 7r
checks to button, button bets 21bb, big blind calls.
my favorite rivers here are in order of how much I want to see these cards:
7, 6, 5, A, K, 2, Q, J, T, 3, 9, 4, 8.
That's just a guess at the true order of river card preference. I picked those cards in that order for a few reasons:
(765) allows the opponent to hold many strong hands to pay off the button's huge hands like quads and full houses. (A) just seemed like the obvious next choice despite the blocking qualities. (K2QJT) I think these are in the wrong order. (3948) the straight cards that really hurt the button's value betting range, I think these are in the right order.
I think we should see fewer river bets from the button as we go through the list of my favorite river cards, but bluffing frequency will be maintained.
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Can you please let me know if this is in any way relates to what you mean by self imposed indifference as I read and re-read your post but am not sure I get what you are on about.
It's about how the marginal hands have a metering effect on the profitability of the opposing marginal hands.
If you can keep the margins where they are,* then you can maintain a minimum ev of zero.
If you can't keep the margins where they are, then you're either gaining ev vs some opponents or you're losing ev vs other opponents. The more aware you are of where the margin is in a particular situation, the more likely you are to be the one gaining ev.
From the example hand: say there's a low frequency turn bluff with T8s at a frequency of 25% bet/75%check, but I mess up and over a large sample I bet 50% of the time.
If 25% is the betting frequency that maintains the margin of the big blinds hands that should fold the turn and those that should call, then my mistake of betting too often has caused the margin to shift; there is ev to be gained by my opponent. I have not maintained the margin and thus I have not maintained self imposed indifference; if my opponent is not satisfied with his minimum ev of zero, then he is free to exploit me for a profit greater than zero. If he declines that profit, while maintaining his minimum ev of zero, then this will be self imposed indifference.
It's a bit like asking the question: should you cut cards or flip coins for even money bets?