
There is one other situation where I will often choose not to make a cbet. But it is not because I don’t like my hand or am giving up. It is because I have a mediocre hand that can’t stand a raise. Usually my intention here will be to turn the hand into a two street game and bet the turn and possibly the river depending on which cards come.
Example:
I have,

And the flop comes,

Example:
I have,

And the flop comes,

In both of these situations I may choose not to cbet especially if I am up against one of the aggressive player types. This doesn’t mean that I am giving up if they bet though. I will usually just call.