Question for Fossilman re. Pot Odds

[DonkeyKong]

My general question is in what stack-size situation do you forget about pot odds and fold because you don't feel the need to play a crapshoot for a big chunk of your stack?

This is a broad question but the point is to figure out when laying down a decent overlay is ok simply because you have a good stack. ie, Scott Fischman in Main Event laid down AK when Doyle re-raised him big because 'he didn't want to gamble.' Doyle had a middle pair (88 or so) and was very willing to gamble.

Later on, with a lot more money in the pot, Fischman called with his AK. (he ran into Doyles KK).

Thanks for any help but curious on whatever comments you have on this subject re AK AQ 88-JJ etc...

another example is Glenn Hughes vs Marcel at the Main Event.
Hughes raised 3x the BB with 99 and laid it down to Marcels all-in. Glenn said after he should have called but with 99, Glenn lived on while only losing 3 BB's -- while Marcel's gambling kicked him out 10th soon thereafter...

Then there is the Murphy vs Matt Dean confrontation. Both had very deep stacks relative to the blinds and pushed all-in... AK v JJ... If you strongly suspect you are in a coin-flip and your stack is deep, when is laying down a 'race' correct??