To answer your OP: First off, the gap concept doesn't apply to set mining. It mainly applies to hands that make pairs. Secondly, of the statements in the OP, the following is the correct one:
Quote:
Originally Posted by newguy1234
It takes a stronger hand to call a raise than the range it takes to make the first raise.
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The reason is pretty simple. You can have a stronger range that the opener and still be playing some unprofitable hands. If he's opening J8-AJ and you're calling J9-AJ you have a stronger range but the hand J9 is not going to be profitable against his range. If you threw that hand away you'd make more money. The maximally profitable range for you to play is the set of all hands that will be profitable against his range. Add any more and you will make less, remove any and you make less. So the appropriate criterion is how a hand stacks up vs. his range.
Regarding the statement
Quote:
Originally Posted by newguy1234
you need a better range to play against someone who has already opened the betting than you would need to open yourself.
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Your calling (of a raise) range is not directly related to your opening range. They are two different scenarios. As an extreme example, compare your button opening range at a 10 handed table vs. your button cold calling range vs. a nit's UTG open at the same table. In general it is true that you cold call a range (or hand) stronger than you would have opened, but it's not really what the gap concept is about. I made this mistake in including the A8o example above. I should have used A9o or ATo and said that MP could have opened those but you can't call with them.