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ChipEV counting algorithm in Hypertracker and PT4

Last update: 24.06.2020

General information

All well-known trackers equally consider ChipEV in h-spots. Calculation in 3 spots is often different. This gives rise to differences in ChipEV in individual distributions.
Despite this, the principles themselves, which are used by the main trackers to calculate ChipEV in 3-way pots, are theoretically correct and correspond to the real mathematical expectation of the player’s chips over a long distance.

Hypertracker calculation algorithm

When calculating ChipEV, all-in equity is counted from the street where the last players in the hand went all-in.
A similar principle underlies the HM2 calculation algorithm. When calculating equity in the side pot, the dead cards of the third player are taken into account. Comparison of results on the basis of 1M hands showed a difference of 3 hands.

Calculation algorithm in PT4

In PT4, if players go all-in on different streets, player equity is not considered. ChipEV in the distribution is equal to the actual chip result.
The first ChipEV algorithm in HS appeared at the end of 2016 and worked on the principle of PT4.
In mid-2017, we decided to change it, since the HM2 principle gives a less dispersive result and a better approximation of the player’s expectation in chips.

Distribution example that counts differently in PT4 and HyperTracker / HM2

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In this hand, two all-ins happened - on the flop and the turn. Therefore, PT4 equates ChipEV with a chip result.
Because we didn’t get there, we got a minus stack: -300 chips.
Calculation using the HM2 / HyperTracker model gives ChipEV 21.5 chips: on the turn in the bank 900 chips with hiro 36% equity.

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