Chip EV (cEV) (cEV)
Also known as: Chip EV, cEV, chip expected value
Expected value measured purely in tournament chips, ignoring payout structure and ICM.
Chip EV is the expected value of a decision counted in chips won or lost, treating every chip as equal. It is the right currency in a cash game (where chips are dollars) and in the deep, early stages of a tournament where the payout ladder is far away and ICM pressure is negligible.
The formula is the standard expectation:
\[ \text{cEV} = \sum_i p_i \cdot c_i \]
where \(c_i\) is the chip outcome of branch \(i\). A break-even flip for equal stacks is 0 cEV — exactly 50% equity.
The critical error is treating cEV as your real-money result. In a tournament, chips have diminishing marginal value, so a +cEV spot can be -$EV near a bubble or pay jump. Always know which currency you are computing: cEV for chip accumulation, Dollar EV ($EV) for the actual money. The gap between them is the risk premium.
Example
Equal 30bb stacks, you flip AKo vs a shove with ~50% equity. cEV ≈ 0.5×(+30) + 0.5×(−30) = 0 — a perfectly neutral chip spot. Early in a big-field MTT you take it for the variance-free build; on the money bubble the same 0-cEV flip is sharply -$EV.