6-max push/fold at 11 bb

At 11 big blinds with a 1 bb big-blind ante, the equilibrium open-shoves 21.7% of hands from UTG, widening to 71.0% from the small blind. Below: every seat's shoving range, every seat's calling range against every shove, and each hand's EV against folding. Solved, not remembered, and the assumptions are printed at the bottom so you can argue with them.

Open-shove ranges, folded to you

One chart per seat. Each assumes everyone in front has folded and everyone behind defends with their equilibrium calling range. Mixed hands show their shove frequency.

UTG

shoves 21.7% first in

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2sAKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2sAQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2sAJoKJoQJoJJJTsJ9sJ8s43%J7sJ6sJ5sJ4sJ3sJ2sAToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2sA9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92sA8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82sA7o38%K7oQ7oJ7oT7o97o87o7776s75s74s73s72sA6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62sA5oK5oQ5oJ5oT5o95o85o75o65o5554s53s52sA4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42sA3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332sA2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

22+, A2s+, K9s+, Q9s+, J9s+, T8s+, 98s, A8o+, KJo+, QJo

HJ

shoves 27.0% first in

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2sAKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2sAQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2sAJoKJoQJoJJJTsJ9sJ8sJ7sJ6sJ5sJ4sJ3sJ2sAToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2sA9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92sA8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82sA7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72sA6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62sA5oK5oQ5oJ5oT5o95o85o75o65o5554s53s52sA4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42sA3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332sA2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

22+, A2s+, K9s+, Q9s+, J9s+, T8s+, 98s, 87s, A4o+, KTo+, QJo, JTo

CO

shoves 32.1% first in

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2sAKoKKKQsKJsKTsK9sK8sK7sK6sK5s53%K4sK3sK2sAQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2sAJoKJoQJoJJJTsJ9sJ8sJ7sJ6sJ5sJ4sJ3sJ2sAToKToQToJToTTT9sT8sT7s22%T6sT5sT4sT3sT2sA9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92sA8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82sA7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72sA6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62sA5oK5oQ5oJ5oT5o95o85o75o65o5554s53s52sA4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42sA3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332sA2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

22+, A2s+, K5s+, Q8s+, J8s+, T8s+, 97s+, 87s, 76s, A2o+, KTo+, QTo+, JTo

BTN

shoves 42.1% first in

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2sAKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2sAQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2sAJoKJoQJoJJJTsJ9sJ8sJ7sJ6sJ5sJ4sJ3sJ2sAToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2sA9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92sA8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82sA7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72sA6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62sA5oK5oQ5oJ5oT5o95o85o75o65o5554s53%53s52sA4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42sA3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332sA2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

22+, A2s+, K2s+, Q5s+, J7s+, T7s+, 96s+, 86s+, 75s+, 65s, 54s, A2o+, K6o+, Q9o+, J9o+, T9o

SB

shoves 71.0% first in

22+, A2s+, K2s+, Q2s+, J2s+, T2s+, 93s+, 84s+, 74s+, 63s+, 53s+, 43s, A2o+, K2o+, Q2o+, J5o+, T7o+, 96o+, 86o+, 76o, 65o

always (≥80%) mixed, % shown never (≤20%)

Calling a shove

Pick who shoved and who is deciding. The caller is the first player to act after the shove with everyone between them folded; under this model, once someone calls, everyone behind folds.

ShoverCaller

BB calls 34.9% against a BTN shove of 42.1%

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2sAKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2sAQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2sAJoKJoQJoJJJTsJ9sJ8s33%J7sJ6sJ5sJ4sJ3sJ2sAToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2sA9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92sA8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82sA7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72sA6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62sA5oK5oQ5oJ5oT5o95o85o75o65o5554s53s52sA4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42sA3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332sA2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

always (≥80%) mixed, % shown never (≤20%)

Call vs fold, closest hands

BB facing BTN: the hands nearest indifference

Hand	Call freq	Call vs fold (bb)
K2s	98%	+0.001
J8s	33%	−0.001
Q9o	100%	+0.060
Q7s	0%	−0.075
T8s	0%	−0.096
K6o	0%	−0.097
K3s	100%	+0.122
98s	0%	−0.136
K7o	100%	+0.169
Q6s	0%	−0.173

22+, A2s+, K2s+, Q8s+, J9s+, T9s, A2o+, K7o+, Q9o+, JTo

Every calling range at 11 bb

Spot	Calls	Range
HJ vs UTG	12.8%	44+, A8s+, KJs+, A9o+, KQo
CO vs UTG	12.8%	44+, A8s+, KJs+, A9o+, KQo
BTN vs UTG	12.8%	44+, A8s+, KJs+, A9o+, KQo
SB vs UTG	14.8%	33+, A5s+, KTs+, A9o+, KQo
BB vs UTG	18.5%	22+, A2s+, KTs+, QTs+, JTs, A8o+, KJo+
CO vs HJ	16.1%	33+, A4s+, KTs+, QJs, A8o+, KQo
BTN vs HJ	16.1%	33+, A4s+, KTs+, QJs, A8o+, KQo
SB vs HJ	19.2%	22+, A2s+, KTs+, QTs+, A7o+, KJo+
BB vs HJ	23.4%	22+, A2s+, K9s+, QTs+, JTs, A5o+, KTo+, QJo
BTN vs CO	21.0%	22+, A2s+, KTs+, QTs+, A5o+, KJo+
SB vs CO	24.2%	22+, A2s+, K9s+, QTs+, JTs, A4o+, KTo+, QJo
BB vs CO	27.9%	22+, A2s+, K7s+, Q9s+, JTs, A2o+, KTo+, QTo+
SB vs BTN	30.2%	22+, A2s+, K5s+, Q9s+, JTs, A2o+, K8o+, QTo+
BB vs BTN	34.9%	22+, A2s+, K2s+, Q8s+, J9s+, T9s, A2o+, K7o+, Q9o+, JTo
BB vs SB	53.2%	22+, A2s+, K2s+, Q2s+, J5s+, T6s+, 97s+, 87s, A2o+, K2o+, Q4o+, J7o+, T8o+

All 169 hands at 11 bb: shove EV by seat

Hand	UTG	HJ	CO	BTN	SB
AA	+5.611	+5.724	+5.719	+5.564	+5.440
KK	+4.649	+4.765	+4.800	+4.733	+4.876
QQ	+4.022	+4.201	+4.288	+4.219	+4.394
JJ	+3.440	+3.679	+3.827	+3.825	+4.017
TT	+2.945	+3.220	+3.396	+3.449	+3.698
99	+2.377	+2.715	+2.946	+3.003	+3.335
88	+1.965	+2.317	+2.617	+2.660	+2.998
77	+1.620	+1.956	+2.298	+2.367	+2.687
66	+1.299	+1.638	+1.986	+2.106	+2.412
55	+0.979	+1.332	+1.682	+1.868	+2.175
44	+0.616	+0.985	+1.349	+1.585	+1.912
33	+0.364	+0.660	+1.036	+1.301	+1.658
22	+0.225	+0.414	+0.735	+1.016	+1.415
AKs	+2.982	+3.218	+3.435	+3.513	+3.554
AQs	+2.457	+2.771	+3.062	+3.178	+3.351
AJs	+1.893	+2.315	+2.708	+2.909	+3.153
ATs	+1.405	+1.884	+2.345	+2.666	+3.002
A9s	+0.834	+1.341	+1.834	+2.245	+2.709
A8s	+0.553	+0.999	+1.528	+1.981	+2.566
A7s	+0.425	+0.748	+1.256	+1.736	+2.402
A6s	+0.324	+0.572	+1.007	+1.521	+2.231
A5s	+0.389	+0.607	+0.980	+1.494	+2.214
A4s	+0.287	+0.499	+0.857	+1.378	+2.123
A3s	+0.206	+0.409	+0.773	+1.304	+2.043
A2s	+0.142	+0.323	+0.681	+1.222	+1.979
KQs	+0.883	+1.055	+1.308	+1.854	+2.715
KJs	+0.534	+0.744	+1.006	+1.615	+2.532
KTs	+0.366	+0.515	+0.742	+1.396	+2.380
K9s	+0.085	+0.191	+0.389	+0.990	+2.093
K8s	−0.049	−0.009	+0.183	+0.657	+1.841
K7s	−0.060	−0.020	+0.137	+0.528	+1.693
K6s	−0.109	−0.057	+0.082	+0.449	+1.547
K5s	−0.184	−0.131	0.000	+0.367	+1.433
K4s	−0.290	−0.226	−0.079	+0.283	+1.334
K3s	−0.370	−0.311	−0.155	+0.205	+1.251
K2s	−0.432	−0.393	−0.243	+0.124	+1.183
QJs	+0.441	+0.531	+0.698	+1.016	+1.969
QTs	+0.367	+0.405	+0.541	+0.820	+1.830
Q9s	+0.098	+0.145	+0.257	+0.457	+1.543
Q8s	−0.048	−0.056	+0.068	+0.230	+1.297
Q7s	−0.210	−0.220	−0.114	+0.072	+1.046
Q6s	−0.232	−0.230	−0.139	+0.064	+0.930
Q5s	−0.308	−0.303	−0.219	+0.001	+0.829
Q4s	−0.411	−0.397	−0.298	−0.076	+0.738
Q3s	−0.494	−0.487	−0.378	−0.159	+0.665
Q2s	−0.550	−0.561	−0.463	−0.236	+0.604
JTs	+0.410	+0.446	+0.527	+0.689	+1.442
J9s	+0.144	+0.200	+0.300	+0.416	+1.155
J8s	0.000	0.000	+0.112	+0.231	+0.914
J7s	−0.175	−0.176	−0.080	+0.069	+0.675
J6s	−0.355	−0.344	−0.262	−0.086	+0.480
J5s	−0.401	−0.389	−0.314	−0.121	+0.434
J4s	−0.496	−0.478	−0.389	−0.197	+0.361
J3s	−0.577	−0.562	−0.463	−0.273	+0.306
J2s	−0.641	−0.644	−0.556	−0.359	+0.239
T9s	+0.196	+0.265	+0.378	+0.467	+1.002
T8s	+0.053	+0.067	+0.195	+0.292	+0.766
T7s	−0.123	−0.109	0.000	+0.130	+0.559
T6s	−0.306	−0.281	−0.184	−0.028	+0.391
T5s	−0.517	−0.497	−0.405	−0.219	+0.220
T4s	−0.586	−0.554	−0.447	−0.264	+0.180
T3s	−0.665	−0.642	−0.527	−0.345	+0.121
T2s	−0.733	−0.726	−0.617	−0.428	+0.055
98s	+0.066	+0.106	+0.255	+0.337	+0.725
97s	−0.093	−0.054	+0.074	+0.194	+0.567
96s	−0.274	−0.229	−0.114	+0.033	+0.408
95s	−0.487	−0.447	−0.339	−0.166	+0.236
94s	−0.719	−0.676	−0.553	−0.370	+0.054
93s	−0.763	−0.723	−0.590	−0.416	+0.025
92s	−0.822	−0.799	−0.677	−0.498	−0.040
87s	−0.009	+0.012	+0.160	+0.275	+0.603
86s	−0.181	−0.157	−0.022	+0.117	+0.460
85s	−0.390	−0.369	−0.239	−0.078	+0.292
84s	−0.626	−0.601	−0.455	−0.286	+0.107
83s	−0.842	−0.828	−0.673	−0.499	−0.070
82s	−0.863	−0.869	−0.725	−0.547	−0.108
76s	−0.109	−0.077	+0.046	+0.199	+0.518
75s	−0.312	−0.282	−0.161	+0.013	+0.360
74s	−0.551	−0.520	−0.384	−0.200	+0.168
73s	−0.769	−0.747	−0.602	−0.411	−0.008
72s	−0.958	−0.963	−0.831	−0.629	−0.197
65s	−0.227	−0.184	−0.074	+0.105	+0.432
64s	−0.453	−0.408	−0.284	−0.095	+0.251
63s	−0.682	−0.646	−0.511	−0.315	+0.071
62s	−0.875	−0.866	−0.744	−0.533	−0.120
54s	−0.370	−0.318	−0.198	0.000	+0.347
53s	−0.584	−0.539	−0.408	−0.206	+0.173
52s	−0.779	−0.763	−0.644	−0.426	−0.017
43s	−0.704	−0.651	−0.502	−0.295	+0.096
42s	−0.892	−0.869	−0.735	−0.512	−0.091
32s	−1.003	−0.973	−0.828	−0.603	−0.164
AKo	+2.759	+2.997	+3.228	+3.330	+3.382
AQo	+2.200	+2.523	+2.834	+2.966	+3.166
AJo	+1.589	+2.030	+2.449	+2.671	+2.945
ATo	+1.067	+1.566	+2.058	+2.412	+2.782
A9o	+0.457	+0.984	+1.509	+1.962	+2.471
A8o	+0.147	+0.615	+1.177	+1.670	+2.310
A7o	0.000	+0.335	+0.880	+1.403	+2.129
A6o	−0.103	+0.151	+0.616	+1.176	+1.949
A5o	−0.029	+0.190	+0.588	+1.146	+1.930
A4o	−0.141	+0.073	+0.454	+1.023	+1.828
A3o	−0.230	−0.025	+0.362	+0.939	+1.741
A2o	−0.297	−0.115	+0.266	+0.856	+1.673
KQo	+0.498	+0.668	+0.936	+1.545	+2.491
KJo	+0.111	+0.326	+0.604	+1.281	+2.284
KTo	−0.061	+0.087	+0.328	+1.052	+2.123
K9o	−0.359	−0.260	−0.057	+0.610	+1.813
K8o	−0.510	−0.478	−0.276	+0.258	+1.545
K7o	−0.519	−0.489	−0.322	+0.120	+1.386
K6o	−0.573	−0.530	−0.385	+0.031	+1.224
K5o	−0.658	−0.616	−0.479	−0.062	+1.100
K4o	−0.764	−0.712	−0.560	−0.150	+0.995
K3o	−0.859	−0.809	−0.648	−0.236	+0.901
K2o	−0.919	−0.887	−0.733	−0.315	+0.833
QJo	+0.031	+0.116	+0.291	+0.650	+1.694
QTo	−0.053	−0.026	+0.112	+0.431	+1.537
Q9o	−0.350	−0.314	−0.197	+0.042	+1.229
Q8o	−0.507	−0.525	−0.398	−0.202	+0.965
Q7o	−0.682	−0.707	−0.602	−0.383	+0.692
Q6o	−0.699	−0.708	−0.617	−0.383	+0.568
Q5o	−0.783	−0.790	−0.706	−0.453	+0.458
Q4o	−0.890	−0.889	−0.788	−0.535	+0.359
Q3o	−0.981	−0.983	−0.876	−0.622	+0.283
Q2o	−1.045	−1.067	−0.969	−0.708	+0.215
JTo	−0.008	+0.019	+0.102	+0.296	+1.125
J9o	−0.300	−0.253	−0.150	0.000	+0.815
J8o	−0.455	−0.460	−0.343	−0.197	+0.559
J7o	−0.635	−0.648	−0.551	−0.375	+0.300
J6o	−0.830	−0.833	−0.747	−0.541	+0.089
J5o	−0.878	−0.878	−0.800	−0.576	+0.040
J4o	−0.984	−0.974	−0.880	−0.655	−0.038
J3o	−1.074	−1.069	−0.968	−0.746	−0.105
J2o	−1.145	−1.159	−1.068	−0.838	−0.178
T9o	−0.240	−0.180	−0.063	+0.056	+0.651
T8o	−0.385	−0.379	−0.248	−0.125	+0.402
T7o	−0.576	−0.571	−0.459	−0.300	+0.180
T6o	−0.778	−0.763	−0.661	−0.472	−0.002
T5o	−1.001	−0.994	−0.901	−0.681	−0.187
T4o	−1.072	−1.054	−0.946	−0.729	−0.232
T3o	−1.158	−1.147	−1.030	−0.816	−0.297
T2o	−1.225	−1.231	−1.125	−0.903	−0.368
98o	−0.374	−0.341	−0.191	−0.083	+0.359
97o	−0.545	−0.517	−0.388	−0.240	+0.186
96o	−0.734	−0.697	−0.581	−0.407	+0.015
95o	−0.965	−0.937	−0.826	−0.621	−0.169
94o	−1.216	−1.183	−1.058	−0.843	−0.367
93o	−1.261	−1.232	−1.100	−0.893	−0.399
92o	−1.327	−1.316	−1.194	−0.981	−0.470
87o	−0.465	−0.453	−0.300	−0.158	+0.223
86o	−0.642	−0.625	−0.486	−0.321	+0.068
85o	−0.864	−0.850	−0.719	−0.529	−0.109
84o	−1.116	−1.100	−0.954	−0.752	−0.308
83o	−1.353	−1.347	−1.189	−0.980	−0.500
82o	−1.376	−1.389	−1.242	−1.032	−0.540
76o	−0.563	−0.543	−0.416	−0.236	+0.129
75o	−0.789	−0.770	−0.644	−0.436	−0.041
74o	−1.036	−1.012	−0.873	−0.658	−0.241
73o	−1.275	−1.262	−1.113	−0.890	−0.437
72o	−1.479	−1.494	−1.360	−1.122	−0.638
65o	−0.693	−0.659	−0.546	−0.339	+0.037
64o	−0.936	−0.901	−0.772	−0.553	−0.155
63o	−1.171	−1.146	−1.012	−0.783	−0.351
62o	−1.384	−1.385	−1.261	−1.017	−0.555
54o	−0.839	−0.795	−0.670	−0.443	−0.049
53o	−1.068	−1.034	−0.903	−0.668	−0.240
52o	−1.276	−1.271	−1.149	−0.899	−0.440
43o	−1.190	−1.149	−1.000	−0.760	−0.320
42o	−1.399	−1.385	−1.247	−0.990	−0.521
32o	−1.509	−1.490	−1.346	−1.086	−0.598

Reading the chart is the easy half. The trainer deals you real hands at 11 bb in a seat you choose and prices every wrong shove or call in big blinds.

Drill 6-max at 11 bb →

// what was solved, and what was assumed

6-max, blinds 0.5 / 1, 1 bb big-blind ante (dead money, posted by the big blind). Every player starts the hand with the same stack, counted before posting, so the big blind has 1 bb less to play with.
The first player in may only shove or fold. Facing a shove, each player behind may only call or fold. No limps, no raises short of all-in.
Assumption: once one player calls, everyone behind folds. Three-way all-ins are left out of the model, because pricing them needs a 169×169×169 equity table. In real play a big blind sometimes overcalls with aces; here it cannot, so shoves into several players are priced slightly too well.
Assumption: players who folded held random cards. Card removal is applied between the shover and each possible caller, not for the hands that folded in front. One consequence: a seat's ranges depend only on the players left behind it, which is why every 6-max chart matches the 9-max chart for the seat with the same players behind it (6-max UTG is 9-max LJ; HJ through BB are the same seats).
Solved by fictitious play (linearly averaged) over a 169×169 all-in equity matrix from our engine, 200,000 sampled runouts per matchup, card removal corrected, 3,000 iterations per seat. Measured, not assumed: no seat, in any spot on these pages, could gain more than 0.018 mbb (thousandths of a big blind) per hand by deviating.
Checked against our heads-up table: the same solver run with two players and no ante reproduces the heads-up charts, with no disagreement bigger than 0.1 percentage points of equity.
EV is the aggressive action minus folding, in big blinds, against everyone else's equilibrium ranges. Chip EV only: no ICM, so near a bubble or a pay jump these ranges are too wide.
Raw data: 6max.json (summary) and one file per depth, e.g. 6max/10.json.