Artist: Copyright © Rasmus Holbroe (Jan. 2016).
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Artist: Copyright © Rasmus Holbroe (Jan. 2016).
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| Tafl variant | Game balance | ||||
| All players | Strong players | Very strong players | Ultra strong players | Average | |
| Alea Evangelii Berserk 19x19 | +1.54 (52 / 9) | +1.22* (10 / 5) | +3.00* (4 / 4) | - (0 / 0) | +1.54 |
| Alea Berserk 19x19 (Bartley) | +1.46 (140 / 17) | +1.40 (48 / 9) | +1.40* (12 / 4) | +1.00* (4 / 2) | +1.42 |
| Fetlar Hnefatafl 11x11 | +1.44 (1336 / 91) | +1.39 (632 / 44) | +1.32 (208 / 20) | +1.71 (42 / 9) | +1.42 |
|
Market Hnefatafl 9x9
(Nielsen setup, Simple Tafl rhombus-w 9x9) |
+1.15 (232 / 22) | +1.77 (86 / 14) | +1.92 (38 / 10) | 1.00* (10 / 3) | +1.33 |
| Historical Hnefatafl 7x7 (Irish Brandubh 2) | +1.39 (1444 / 58) | +1.34 (956 / 35) | +1.39 (358 / 20) | 1.00 (26 / 5) | +1.37 |
| Copenhagen Hnefatafl 11x11 | +1.39 (10658 / 205) | +1.35 (6756 / 83) | +1.23 (3246 / 43) | +1.13 (788 / 16) | +1.34 |
| Copenhagen Hnefatafl Bell 11x11 | +1.43 (228 / 34) | +1.47 (168 / 26) | 1.00 (74 / 18) | 1.00 (32 / 5) | +1.34 |
| Sea battle tafl 13x13 (Nielsen) | +1.24 (110 / 21) | +1.32 (58 / 12) | +1.50 (40 / 9) | 1.00* (4 / 3) | +1.29 |
| Total Hnefatafl 11x11 | +1.19 (194 / 19) | +1.22 (82 / 10) | +1.31 (30 / 6) | +7.00* (4 / 3) | +1.23 |
| Saami Cuhkka 5x5 | +1.29 (190/ 23) | +1.20 (98 / 15) | +1.22* (20 / 8) | - (0 / 0) | +1.26 |
| Copenhagen T cross 11x11 | +1.21 (42 / 12) | +1.31 (30 / 6) | +1.50* (10 / 3) | - (0 / 0) | +1.28 |
|
Historical Hnefatafl 7x7 (Scottish Ard Ri)
Ard Ri-39 throneless 7x7 |
+1.21 (168 / 22) | +1.12 (106 / 16) | +1.40 (84 / 11) | +1.67* (8 / 2) | +1.23 |
| Daldos 3x16 | +1.10 (680 / 16) | +1.18 (290 / 13) | +1.58 (124 / 9) | - (0 / 0) | +1.17 |
| Berserk Hnefatafl 11x11 | +1.25 (1168 / 60) | +1.14 (594 / 33) | +1.16 (206 / 17) | -1.33 (28 / 6) | +1.20 |
| Saami Daabloe 11x9 | +1.19 (278 / 30) | +1.27 (168 / 19) | +1.20 (44 / 10) | - (0 / 0) | +1.19 |
| Copenhagen Hnefatafl 13x13 | +1.20 (88 / 16) | +1.31 (30 / 10) | -3.00* (4 / 3) | - (0 / 0) | +1.18 |
|
Chess (roughly 52% - 56% white wins) (balance +1.08 to +1.27) |
+1.17 | ||||
| David Brown Hnefatafl 11x11 | +1.24 (56 / 8) | 1.00 (20 / 5) | 1.00* (12 / 4) | 1.00* (2 / 2) | +1.14 |
| Daldos 3x12 | +1.17 (938 / 20) | +1.15 (474 / 14) | +1.02 (218 / 10) | 1.00* (2 / 2) | +1.14 |
| Historical Hnefatafl 11x11 (Welsh Tawlbwrdd-w) | +1.06 (198 / 29) | +1.19 (116 / 18) | +1.18 (72 / 12) | 1.29* (16 / 4) | +1.13 |
| Brandubh 7x7 (Walker) | +1.14 (358 / 32) | +1.16 (136 / 15) | -1.08 (50 / 8) | - (0 / 0) | +1.14 |
| Historical Hnefatafl 9x9 (Saami Tablut-w) | +1.09 (552 / 44) | +1.11 (370 / 24) | +1.17 (218 / 15) | +1.13 (32 / 4) | +1.11 |
| Daldos 3x14 | +1.04 (1130 / 24) | 1.00 (606 / 18) | +1.17 (254 / 12) | 1.00* (2 / 2) | +1.05 |
| Frisian Dablo 11x9 | 1.00 (126 / 14) | 1.00 (56 / 10) | +1.25* (18 / 5) | - (0 / 0) | +1.04 |
| Tyr 11x11 | 1.00 (318 / 25) | +1.10 (132 / 15) | +1.18 (72 / 12) | -1.22 (20 / 6) | +1.05 |
|
Sea battle tafl-w 11x11
Sea battle T cross 11x11 (Dardell setup) |
1.00 (44 / 11) | 1.00 (38 / 10) | -1.20 (22 / 8) | -5.00* (6 / 3) | -1.12 |
| Sea battle-1571 9x9 | +1.38 (62 / 13) | 1.00* (16 / 9) | -1.40* (12 / 6) | - (0 / 0) | +1.20 |
|
Sea battle tafl 15x15
(Damian Walker setup) |
-1.08 (110 / 28) | -1.06 (66 / 19) | +1.50* (10 / 4) | - (0 / 0) | -1.04 |
|
Sea battle tafl 11x11
Sea battle T cross 11x11 (Dardell setup) |
-1.03 (268 / 46) | -1.06 (134 / 26) | -1.06 (74 / 18) | -1.80* (14 / 5) | -1.06 |
| Old Hnefatafl 11x11 | 1.00 (838 / 83) | -1.14 (386 / 39) | -1.32 (58 / 17) | -2.00* (12 / 6) | -1.07 |
|
Sea battle-2526 9x9
(Nielsen setup) |
+1.02 (336 / 37) | -1.09 (180 / 23) | -1.18 (124 / 18) | -1.57* (18 / 3) | -1.06 |
| Tawlbwrdd Lewis cross 11x11 | -1.05 (318 / 30) | -1.10 (216 / 23) | -1.16 (136 / 13) | 1.00* (6 / 2) | -1.08 |
| Hex 11x11 | -1.14 (152 / 16) | -1.15 (86 / 13) | -1.07 (58 / 10) | - (0 / 0) | -1.14 |
|
Sea battle tafl 13x13
(modif. Parlett setup) |
-1.06 (360 / 42) | -1.08 (232 / 27) | -1.43 (90 / 20) | -4.00* (10 / 5) | -1.13 |
| Tyr 15x15 | -1.04 (204 / 16) | -1.16 (80 / 13) | -1.46 (32 / 10) | -3.00* (8 / 3) | -1.14 |
| Tawlbwrdd Lewis cross-w 11x11 | -1.19 (118 / 15) | -1.24 (76 / 10) | -1.18 (48 / 7) | -2.00* (6 / 2) | -1.21 |
|
Simple Tafl 11x11
Tawlbwrdd throneless Lewis cross 11x11 |
-1.14 (820 / 94) | -1.15 (488 / 35) | -1.37 (308 / 27) | 1.00 (26 / 9) | -1.19 |
|
Simple Tafl-w 11x11
Tawlbwrdd throneless Lewis cross 11x11 |
1.00* (18 / 9) | 1.00* (4 / 4) | 1.00* (4 / 4) | - (0 / 0) | 1.00 |
| Saami Sáhkku 3x15 (Kåfjord) | -1.08 (884 / 22) | -1.07 (510 / 18) | 1.00 (228 / 12) | -2.00* (12 / 3) | -1.07 |
|
Historical Hnefatafl 11x11 (Welsh Tawlbwrdd)
Tawlbwrdd Bell 11x11 |
-1.16 (1540 / 86) | -1.22 (1098 / 49) | -1.27 (674 / 31) | -1.29 (142 / 13) | -1.21 |
| Historical Hnefatafl 9x9 (Saami Tablut) | -1.17 (2976 / 128) | -1.23 (2086 / 65) | -1.30 (1258 / 36) | -1.22 (180 / 12) | -1.21 |
| Simple Tafl T cross-w 9x9 | -1.13 (132 / 14) | -1.28 (66 / 9) | -1.50 (40 / 8) | -1.33* (14 / 4) | -1.23 |
|
Simple Tafl 5x5
(Draganov setup) |
-1.59 (202 / 26) | -1.26 (88 / 16) | -1.06 (66 / 9) | 1.00* (8 / 3) | -1.38 |
| Fetlar 13x13 (Viking Siege) | -1.12 (36 / 9) | -2.00* (6 / 5) | -3.00* (4 / 4) | - (0 / 0) | -1.30 |
|
Sea battle-204577-w 11x11
(Nielsen setup) |
-1.14 (94 / 18) | -1.43 (34 / 11) | -1.50 (30 / 9) | -5.00* (6 / 3) | -1.31 |
| Historical Hnefatafl 13x13 (Nielsen) | -1.40 (60 / 13) | -1.38 (50 / 11) | +2.00* (6 / 4) | - (0 / 0) | -1.32 |
|
Historical Hnefatafl 13x13
(Parlett setup) |
-1.26 (494 / 47) | -1.34 (290 / 32) | -1.47 (126 / 21) | -2.50* (14 / 7) | -1.32 |
| Historical Hnefatafl 13x13 (modif. Parlett 2) | -1.38 (38 / 9) | -1.25* (18 / 7) | -1.67* (8 / 5) | - (0 / 0) | -1.34 |
| Historical Hnefatafl 13x13 (modif. Parlett) | -1.59 (44 / 12) | -2.50* (14 / 6) | 1.00* (4 / 4) | - (0 / 0) | -1.70 |
| Skalk Hnefatafl 9x9 (ExpoMedia) | -1.85 (114 / 11) | -1.77 (86 / 8) | -2.24 (68 / 5) | 1.00 (4 / 2) | -1.89 |
| Skalk Hnefatafl 11x11 | -3.15 (110 / 16) | -5.17 (74 / 11) | -11.00* (36 / 7) | -4.33* (8 / 4) | -4.30 |
| Ashton Tablut 9x9 | -4.55 (86 / 10) | -6.33* (44 / 7) | -5.80* (34 / 6) | -inf* (6 / 3) | -5.42 |
Only full pairs of games are counted (player A white against player B black and player B white against player A black)
The table data cells contain
game balance ( number of games / number of players )
* Number unreliable, too few games.
Games selection 1, "All players".
All games in the games archive.
Games selection 2, "Strong players".
Subset of games selection 1, including only strong players with max rating above 1500.
Games selection 3, "Very strong players".
Subset of games selection 2, including only very strong players with max rating above 1700.
Games selection 4, "Ultra strong players".
Subset of games selection 3, including only ultra strong players with max rating above 1900.
White = defenders. Black = attackers.
The tafl game balance is calculated as:
(number of most winning color's wins) divided by (number of least winning color's wins),
the number positive if white is more winning, negative if black is more winning.
Draws are counted as half wins.
Examples:
White wins 20 times and black wins 10 times. Balance = +20/10 = +2 (white has twice the chance of winning than black).
White wins 20 times and black wins 30 times. Balance = -30/20 = -1.5 (black has 1.5 times the chance of winning than white).
White wins 10 times and black wins 10 times, and 20 draws. Balance = 20/20 = 1 (perfect balance).
Average is calculated this way:
average of a/b, c/d, e/f and g/h is (a+c+e+g)/(b+d+f+h)