*Originally posted by fusionpk*

the cEV difference is exactly that, the DIFFERENCE doesn't mean it's a losing play, just means ur not expected to win the whole amount of chips, only a % of them chips hence why you 1) run over EV and 2) have a negative cEV difference

Correct, here's an example to illustrate that:

You and opp both have 1,000 chips. I'll assume that there's no blinds, just to make calculation easier.

You have AA and your opp has KK, you both go all-in. The pot now is 2,000 chips and you either win or lose 1,000 chips invested. Your equity with AA vs KK is 82%, which means that in long run you get 82% of total pot or 2,000*0.82= 1,640, since you invested 1,000 chips preflop, on average your profit is 1,640 - 1,000 = 640 chips (and that is your cEV of this hand)

When you win, your actual winnings are 1,000 and your cEV stays the same at 640 chips. "cEV diff" = "cEV" - "actual winnings", in this case it's gonna be 640 - 1000 = -360 chips.

In case you lose a hand, "cEV diff" = 640 - (-1,000) = +1,640 chips.

Basically, cEV diff tells you what amount you'll win on average compared to what you have won in a given hand. So when you win a hand, you always win more than you will win on average, so cEV diff is negative.

Hope it helps