Push or fold chart at 14bb heads-up

With 14bb effective, the heads-up equilibrium has the small blind moving all in with 48.4% of its hands, and the big blind calling 29.3% of the time. This is a chips-only game with no ante.

  • 48.4%Small blind shoves
  • 29.3%Big blind calls
  • -0.114 bbValue per hand, small blind

Which hands should the small blind shove at 14bb?

At 14bb the small blind shoves 48.4% of hands, 641 of 1,326 combos, and the rest fold without a fight.

In shorthand the shoving range is 22+, A2s+, K2s+, Q4s+, J5s+, T6s+, 95s+, 85s+, 75s+, 64s+, 54s, A2o+, K5o+, Q9o+, J9o+, T8o+, 98o, 87o. By equity against a random hand, 64s is the lowest-ranked hand that still shoves and Q8o is the highest-ranked hand that folds. J8o mixes between shoving and folding at this stack, which marks the edge of the range: either choice is close to break-even.

Small blind at 14bb: shove chart

Small blind shove chart at 14 big blinds heads-up. Shoves: 22+, A2s+, K2s+, Q4s+, J5s+, T6s+, 95s+, 85s+, 75s+, 64s+, 54s, A2o+, K5o+, Q9o+, J9o+, T8o+, 98o, 87o.

  • Shove
  • Mixes
  • Fold
  • Under 50% equity

Which hands should the big blind call with at 14bb?

Facing the shove, the big blind compares calling 14 big blinds against folding the 1 already posted. The equilibrium calls with 29.3% of hands, 389 of 1,326 combos, which is a tighter range than the one the small blind shoves.

In shorthand the calling range is 22+, A2s+, K6s+, Q9s+, JTs, A2o+, K9o+, QTo+. By equity against a random hand, 22 is the lowest-ranked hand that still calls and K8o is the highest-ranked hand that folds. K8o mixes between calling and folding at this stack, which marks the edge of the range: either choice is close to break-even.

Big blind at 14bb: call chart

Big blind call chart at 14 big blinds heads-up. Calls: 22+, A2s+, K6s+, Q9s+, JTs, A2o+, K9o+, QTo+.

  • Call
  • Mixes
  • Fold
  • Under 50% equity

Which kinds of hands make up the 14bb ranges?

Pairs, suited hands and offsuit hands thin out at different speeds as the stack grows. The table counts the hands of each kind that act at 14bb, out of the 13 pairs and the 78 suited and 78 offsuit hands, and the share of each kind's specific combos that act once mixed hands are weighted by how often they act.

Hands that act at 14bb, by kind
KindSmall blind shovesShare of combosBig blind callsShare of combos
Pairs13 of 13100.0%13 of 13100.0%
Suited hands53 of 7867.9%23 of 7829.5%
Offsuit hands29 of 7837.5%18 of 7823.3%

Which decisions are closest at 14bb?

Edge means the EV of shoving or calling minus the EV of folding, from the start of the hand. The small blind gives up -0.500 by folding and the big blind -1.000. The hands closest to zero are the ones that flip first when the stack changes.

The closest small blind decisions at 14bb, in big blinds
HandRank of 169Shove EVFold EVEdgeEquity when calledChart
K5o69-0.485-0.500+0.01535.3%Shove
95s113-0.481-0.500+0.01936.0%Shove
87o117-0.462-0.500+0.03836.4%Shove
J8o79-0.500-0.500+0.00035.5%Fold
74s134-0.500-0.500-0.00036.0%Fold
Q3s82-0.509-0.500-0.00935.3%Fold
The closest big blind decisions at 14bb, in big blinds
HandRank of 169Call EVFold EVEdgeEquity vs shovesChart
K6s50-0.903-1.000+0.09746.8%Call
2287-0.856-1.000+0.14446.9%Call
QTo47-0.744-1.000+0.25647.3%Call
K8o51-1.000-1.000+0.00046.4%Fold
J9s55-1.109-1.000-0.10946.0%Fold
JTo57-1.177-1.000-0.17745.8%Fold

Which seat is ahead at 14bb?

At 14bb the small blind's seat is worth -0.114 big blinds per hand dealt, so the big blind's seat is the better one: it acts last and sees the shove before choosing. The value per hand turned negative at 8bb and has kept falling as stacks deepen. Value per hand dealt counts folds, shoves and calls together, from the start of the hand before the blinds go in.

How does the chart change around 14bb?

Shove and call frequency near 14bb
StackSmall blind shovesBig blind callsSmall blind value per hand
12bb53.2%33.0%-0.083
13bb51.6%31.0%-0.099
14bb48.4%29.3%-0.114
15bb45.7%28.5%-0.127
16bb44.8%26.5%-0.139

Going from 13bb to 14bb, Q8o, K4o, J8o, Q3s, J4s and 1 more leave the small blind's shoving range; K8o, Q8s, K5s and J9s leave the big blind's calling range.

The biggest single move for the small blind between 13bb and 14bb is Q3s, which goes from shoving 100% of the time to 0%. For the big blind it is K5s, from calling 100% of the time to 0%.

Read the chart by the shorter of the two stacks. If you hold 14bb and your opponent holds more, the extra chips never play, and this 14bb chart is the one to use.

Where can I check one hand or a different stack?

Each hand on the charts has its own page with the stacks at which it shoves and calls. The push or fold calculator takes any hand and any stack from 1 to 20 big blinds.

How was this chart computed?

Both players hold one of the 169 starting-hand classes, weighted by the pairs of specific hands that share no card, so blockers count. Blinds are 0.5 and 1 with no ante and equal stacks. Each pair of classes is scored with its exact equity over every five-card board, and the solver repeats best responses against the other side's running average until the hands on the edge are made exactly indifferent. Exploitability is the most the two players could gain together by switching to a best response, in big blinds per hand. At 14bb the published strategies have an exploitability of under 0.000001 big blinds per hand, against a limit of 0.001.

Source: GeorgeLiPoker's own heads-up solver, run on its exact preflop equity table.

Questions

What is the push or fold range at 14bb heads-up?
The small blind shoves 22+, A2s+, K2s+, Q4s+, J5s+, T6s+, 95s+, 85s+, 75s+, 64s+, 54s, A2o+, K5o+, Q9o+, J9o+, T8o+, 98o, 87o, which is 48.4% of hands. The big blind calls 22+, A2s+, K6s+, Q9s+, JTs, A2o+, K9o+, QTo+, which is 29.3% of hands. Both ranges are for a chips-only game with blinds of 0.5 and 1 and no ante.
Is K5o a shove at 14bb?
K5o is one of the closest decisions on the small blind chart. Shoving is worth -0.485 big blinds against -0.500 for folding, so the chart shoves it, and it is rank 69 of 169 by equity against a random hand.
Should the big blind call with K8o at 14bb?
The chart folds it, narrowly. Calling is worth -1.000 big blinds against -1.000 for folding, and its equity against the shoving range is 46.4%.